Product Description
From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for both the beginner and the expert." (Math. Reviews)

"In theory, this book can be read by a well-trained third-year graduate student - but the reader had better have a great deal of mathematical sophistication. The specialist in this and allied areas will find the wealth of recent results and new approaches throughout the text especially rewarding." (American Scientist)

"The title of this book at once suggests comparison with the two volumes of Dixmier and the fact that one can seriously make this comparison indicates that it is a far more substantial work that others on this subject which have recently appeared"(BLMSoc) ... Read more

Customer Reviews (1)

Comprehensive, ambitious, sheer torture.
Theorem, proof, theorem, proof, theorem, proof, ... qed.
One has to admire the scope of this book.It really does cover nearly all major results in the subject up until that time.However, in order to accomplish this goal without expanding into multiple volumes, the author omits examples, motivation, and entire lemmas worth of ideas used in proofs.J.E. Littlewood once said that "two trivialities omitted can add up to an impasse".He would shutter at some of leaps of reasoning required of the reader.Theorems are rarely cited and ideas are lifted from the middle of proofs and utilized several sections later without reference.Recommended for the masochist mathematician with interest in operator theory. ... Read more

Customer Reviews (3)

Transitions Perfectly from Algebra 2 and helps you conquer Algebra!
We homeschooled our kids over a period of years, and Saxon Math, including Algebra 1, was always our choice for math texts.I also teach in a classical Christian school where we use Saxon Math as well.Currently, I'm teaching using Saxon Algebra 2 (2 of my own kids are in the class).I find that for most students, if they will take the time to read the lesson well, do all of the problems, and then rework any problems they miss then they will achieve a high degree of mastery of the material at hand.

Algebra 2 mercifully begins with 20 lessons or so reviewing things that should have been learned in Algebra 1.The key is to labor diligently every day: do every problem, check the answers every day, and rework any questions that are missed.

The greatest advantage of Saxon Math is that each lesson provides practice not only for the new problems but also built-in review for every kind of problem the student has previously encountered.Algebra 2 is no exception to the rule that Saxon Math texts help students learn math well.

In general, Saxon Math, including Algebra 2, is highly recommended.It is especially ideal for homeschooling families, although Algebra 2 is the first book in the series that homeschooling parents may not be able to offer enough help with.Also, students should be prepared to spend more time during their Homework lessons in Algebra 2 than in Algebra 1.

Can't argue with 'results'
CONTEXT AND EVALUATION

Saxon's 'Algebra 2' is the second in an integrated three books or three courses series comprised of 'Algebra 1', 'Algebra 2' and 'Advanced Mathematics' designed to prepare students for calculus. The 'Algebra 2' set covers topics that advanced math students are expected to master in 9th grade. While called a 'homeschool kit' it can be used quite effectively by parents 'after school' to supplement or enhance a child's math proficiency which is how we have been using Saxon (me and my 2 boys) ever since 4th grade.

Like previous courses in the Saxon's series, Algebra 2 is an effective tool for teaching children math without being intimidating or boring. After more than 7 years of teaching my own kids math after school I can testify that it works. Both my kids are now in advanced math classes and the top of their class.

Given the results, this Saxon set earns its five stars for being effective, thorough and both parent and child-friendly - to the extent that MATH courseware can be that way :)


THE SAXON METHOD

Each lesson begins by explaining and illustrating or or more new topics. That is followed by a small number of practice exercises that are directly related to the new topics. Finally, there is a '30-questions' problem setthat could be on EVERYTHING covered by Saxon up to that point. Each individual question has references to the lesson(s) which the students may want to review if they are having trouble with the answer/solution.

What makes Saxon's method effective is that, once a particular topic is introduced, 'questions' related to that topic or where understanding that topic would be required to answer the question may pop up in any future problem set. For example, once trigonometry concepts are introduced at about the one-third mark in the book, trigonometry-related questions will appear in every problem set thereafter. This ensures that students become increasingly comfortable with the new concepts and they can see how the various 'parts' of math relate to each other and, when solving 'word' problems, how math relates to the real world.

After every 4 lessons, starting after Lesson 6 there is a 20-question test that covers topics up to 4 lessons prior to the test - in other words, the test administered after Lesson 10 will cover topics up to and including Lesson 6.

The problem sets and the multi-topic lessons are what makes the Saxon method so effective as new concepts are introduced incrementally and each problem set keeps revisiting prior topics and many of the problems require the student to combine skills and knowledge acquired in more than one lesson.


THE KIT's CONTENTS

A complete, usable kit should include the following:

- The "Algebra 2 Third Edition" student's textbook [this one] that includes the 129 lessons, 2 introductory or review lessons, Glossary, Index and answers to the odd-numbered questions.

- The "Homeschool Testing Book" that include the 32 tests, reproducible test answer sheets and the answers together with the 'step-by-step' on how to get there.

- The "Answer Key" booklet that has the answers to all the practice and problem sets but ONLY the answers, not the ways to get there.

It's important to understand that this item is NOT the kit. If you buy this book only you will NOT be able to teach math effectively because there are no tests and the 'answers' section at the back of the book only covers half on the questions. For the complete kit, consider Algebra 2: Homeschool Kit (Saxon Algebra).

If you are not comfortable with the topic, you MAY want to order the optional 'Solutions manual' and, perhaps the Teacher's manual but these are NOT part of this kit. I have no personal experience with these items because I never ordered them.


PRACTICAL ADVICE

'The Home Study Kit' should be sufficient for teaching math. Please be aware that you will not be able to teach effectively unless you have all 3 items above. If in doubt about the actual contents, contact the seller before placing your order and make sure that this is what you get, ESPECIALLY if you are ordering a used item.

If you have more than one student - I have 2 - it would make sense to order a separate copy of the student's book. There is no need for separate copies of the testing book because the tests are meant to be photocopied and because the Answer Key is only needed by the teacher.

I found the "DIVE Into Math CD for Saxon Algebra 2, 2nd and 3d Edition" to be a very useful addition to the kit. In fact this is what I used am using this year. We used the Algebra 1 version of the DIVE last year and we've been very happy with it. If ordering the DIVE CD, be aware that you will NOT be able to teach with the CD alone because you will be missing the practice problems and the tests so consider buying the CD by itself if you already have the 'study kit' or look for some bundle that has both the study kit and the CD. One CD for your 'class' should be sufficient so, if you have more than one student, buy one 'kit' and one CD for the class and additional student books as needed. I did not see that edition at Amazon. Dive Into Math CD for Saxon Algebra 2, 2nd Edition seems to be an older release and I do not know if it's compatible with the 3d edition content. It should not be that hard to find the correct version of DIVE but you may have to go outside Amazon for that.


A PERSONAL NOTE

I should say that, to us, the effectiveness of Saxon's method is no longer a matter or doubt or debate. My senior kid was awarded the 'Highest Average in Math' at his campus upon completing his 8th grade and I have little doubt that our math home study is/was a contributing factor to his being awarded the "President's Education Award" and his bing on the Honor Roll on all 4 quarters of his 8th grade. His younger brother is also a 'straight A math student (typical math grade average is 97-99 each term) and a Honor roll/Principal's List most of the time. I mention this because both of them used to be quite 'in the middle' as in 'mediocre' when we started with Saxon (that's what prompted me to 'take action'). Us practicing math after school clearly developed their study skills and, since math is so 'hard', it helped them master most of the other topics taught in school with ease.

And, finally, and this might have fit under 'practical advice' as well, I'd like to note that doing this is NOT easy. Covering 129 lessons ad giving 32 tests calls for a VERY SIGNIFICANT investment of time and effort from both parent and children. I estimate we spent anything from 90 minutes to 2 hours per lesson and we usually 'do math' 5 to 6 days per week with a typical math study year beginning at the end of August and ending sometime early or mid-May.

---
>> Brush your teeth, it's the law! <<

Saxon math rules
I have been teaching for almost 20 years.. forget standards and all the NCLB BS...these books do math the way it should be done. ... Read more

Product Description
If you think algebra has to be boring, confusing and unrelated to anything in the real world, think again! Written in a humorous, conversational style, this book gently nudges students toward success in pre-algebra and Algebra I. With its engaging question/answer format and helpful practice problems, glossary and index, it is ideal for homeschoolers, tutors and students striving for classroom excellence. It features funky icons and lively cartoons by award-winning Santa Fe artist Sally Blakemore, an Emergency Fact Sheet tear-out poster, and even an "Algebra Wilderness" board game guaranteed to help students steer clear of "Negatvieland"--and have fun.

The Algebra Survival Guide is the winner of a Paretns' Choice award, and it meets the Standards 2000 of the National Council of Teachers of Mathematics. Its 12 content chapters tackle all the trickiest topics: Properties, Sets of Numbers, Order of Operations, Absolute Value, Exponents, Radicals, Factoring, Cancelling, Solving Equations, the Coordinate Plane and yes even those dreaded word problems. The Guide is loaded with practice problems and answers, and its 288 pages give students the boost they need in a style they'll enjoy to master the skills of algebra. ... Read more

Customer Reviews (52)

Quality Study Aid
Okay, let me start off by saying that the first half of this book is very easy so I went over it quickly. The second half of the book is where I am rusty especially with the factoring. This book builds the foundation for algebra and soon as I finish it I plan on purchasing a more difficult algebra book that is more at the intermediate/college level. But for anyone needing to brush up on algebra 1 this book is outstanding. Its very easy to understand. I love these kind of books because I'm better at teaching myself than the teacher.

Helped me pass
Great book! I bought this to help me brush up on my Algebra skills and test out of my college math placement. It worked. Very easy to follow. Author takes each problem step by step. Really helped me learn what I never really did while in high school. Btw I hate math and was able to keep returning to the book.

For "mature" learner too
Last time I had algebra it was in high school, I didn't like it and it was a long time ago. I had to go back to the absolute beginning basics and this book really helped. Playful tone makes it much more approachable than the deadly dry textbook. Get the workbook too.

Algebra slayer.
Book arrived in a timely manner and is a good suppliment for all people who are beginners in or having difficulties with algebra.

OK if you need a workbook, but its no textbook
Its a good book if you need lots of practice problems to do, but if like me your going back to college and need to LEARN algebra for the first time its not for you. ... Read more

Product Description
Finally, a Clear Introduction to Algebra –– Courtesy of Dr. Math ® !

You’ve made it through pre-algebra, but now things are getting harder in algebra class. Never fear! Dr. Math®–the popular online math resource–is here to help you figure out even the trickiest of your algebra problems.

Students just like you have been turning to Dr. Math for years asking questions about math problems, and the math doctors at the Math Forum have helped them find the answers with lots of clear explanations and helpful hints. Now, with Dr. Math® Explains Algebra, you’ll learn just what it takes to succeed in this subject. You’ll find the answers to dozens of real questions from students who needed help understanding the basic math concepts in a typical algebra class. You’ll find plenty of hints and shortcuts for working with unknown quantities. Pretty soon, everything from linear equations to polynomials to factoring will make sense. Plus, you’ll get plenty of tips for working with all kinds of real-life problems.

You won’t find a better explanation of the world and language of algebra anywhere! ... Read more

Customer Reviews (4)

EASY MADE DIFFICULT
Mr. Math moved a bit fast for my freshman girl...heck he moved too fast for me.Use another avenue, like fun, programmed cd's.

Not a Thorough Text, but Great Explanations
This book has very clear and concise explanations that give readers a real understanding of what's going as opposed to just teaching the steps of algebra. The material is very digestible, too. It's written in a pleasant, informal style with brief introductions to topics followed by question and answer format explanations.

My only caveat is that it's not, nor does it claim to be, a thorough guide to Algebra. It's more of a helpful supplement or a great springboard for a class or a more thorough book. This might deter some people who only only want to buy one book for self-study, but many of the explanations of basic concepts in this book are the clearest I've read.

As another reviewer said, this book is aimed at young teens, but it's great for anyone. It's not dumbed down or embarrassing for an adult to read. I'm a returning adult student studying to be a math teacher, and this book has helped me clarify a lot of my own ideas about how to teach this stuff.

Learning Algebra "using this book" is Hard!
If you are learning algebra for the very first time, this is not the book to use. There are not enough examples in the book to help you really understand the concept at hand. It is very confusing at times. The authors try to add a little humor in the book which is very annoying. Overall it is not a bad book if you have a strong background in math and want to brush up on your skills.

Excellent for adult self-study
My goal is to master the algebra that I found so troublesome as a junior high student. As an adult self-learner, I recommend this book highly. Although the illustrations and writing style are pitched at a 12 to 17 year old, I found the information presented clearly and in an easy-to-understand format. For example, the importance of the Pythagorean Theorem is emphasized and then beautifully reinforced with numerous sample problems, worked-out in great detail. Also, the treatment of "completing the square" is the best I have yet encountered. Finally, the author's philosophy of education coincides with my own, namely: difficult material can and should be presented simply as opposed to the all too frequent, presenting simple concepts in an absurdly convoluted and impossible to comprehend manner. ... Read more

Product Description
A beginning algebra textbook with instructions for the teacher on how to present the material to students. ... Read more

Customer Reviews (11)

This beginning algebra book is a good buy
I am a mother simply trying to help out my 9th grader to to better in algebra I.I saw that this algebra book was rated pretty well on amazon, so decided to buy this book used.In a nutshell, the reviews were indeed accurate.This is a very good beginning Algebra book to have on hand.If you think equations are complex and difficult, this book goes step-by-step in explaining those equations.The book explains concepts very easily for my 9th grader to comprehend, and so far no complaints.I sure wish daughter's school would buy this book for the 9th grade class, as both my daughter and some of her friends in this same algebra class have been using this one book to study from.If several kids in this class turn to this one book for guidance, then you know it must be pretty good.Saxon math book writers should take lessons from this math teacher's algebra I book on how to explain concepts, for sure!

Good Algebra I textbook
This book was recommended through a web site that selects books by clear and concise instruction.We have just started with the lessons and find it to be an easy way to introduce algebra to a student who has not had pre-algebra.You do not have to have the teachers book if you assign the odd numbered problems, answers are in the back.I have looked for the corresponding teacher book, but have yet to find the correct edition.Other editions of the teachers book have been in the 150-200 dollar range.

There is a video that supports this book if the student needs help.It does not follow exactly on the older edition, but does cover the subjects. The video is for the 2006 edition.[...]

Depending upon the child's learning style, this book works well with the current child I am teaching.It keeps moving forward building on what you have learned.This book does not do the continual review of old information.

Provides a strong foundation in algebra.
Foerster's text provides the student with a strong foundation in algebra.Topics are introduced incrementally.Before Foerster introduces a new idea, he first makes sure that the reader has a strong understanding of the concepts on which the new idea is based.His exposition, which can seem pedantic at times, is clear and effective.The numerous examples he provides are explained in painstaking detail.He also warns the reader of potential pitfalls. The exercises are designed to build both the reader's algebra skills and conceptual understanding.Each chapter concludes with a section in which the reader applies the material learned in the chapter to real world problems.This material, which is a particular strength of the text, demonstrates how and why algebra is used.

The book begins with basic algebraic concepts that are sometimes covered in pre-algebra classes.Those concepts include operations on numbers, variables, constants, algebraic expressions and equations, signed numbers, and the rules of algebra such as the commutative, associative, and distributive laws.

Foerster then discusses linear equations in one variable.Rather than discussing equations of lines next, as many authors do, he defers that topic in order to cover operations on polynomials. That allows him to discuss quadratic equations before the midterm review.While he later discusses how to factor by grouping, in this chapter he treats the factoring of quadratic polynomials as a series of special cases.The chapter concludes with a discussion of the quadratic formula, the derivation of which he leaves as an exercise.If this book has a weakness, it is that Foerster teaches you how to do algebra without always justifying the methods he uses.

Following the midterm review, Foerster discusses equations of lines and systems of linear equations.This leads to a brief discussion of probability and statistics.Probability is revisited in the exercises later in the text.

The following chapters address exponents, operations on polynomials, rational expressions and equations, radical expressions and equations, and inequalities.The last chapter, which is followed by a final review, introduces concepts such as functions and right triangle trigonometry that are explored in more advanced algebra classes.The final sections of this chapter, which address quadratic inequalities, provide a capstone to the text because they tie together many of the concepts introduced earlier.

The exercises, which are numerous, vary from drills designed to develop the reader's facility with a particular type of algebraic manipulation to challenging application problems.For instance, Foerster poses the following problem:In some states, your state tax is based on your net income after your federal tax has been deducted and your federal tax is based on your net income after your state tax has been deducted.How do you determine how much tax you owe each entity if the tax you owe depends on the amount being collected by the other entity?The difficulty of the problems Foerster poses makes this text suitable for an honors course.

The text is quite comprehensive, discussing topics not found in other texts.For instance, one topic he introduces is a system comprised of a linear equation and a linear inequality. As is the case with other topics, he also introduces applications of such systems. Consequently, there ismore material here than can comfortably be covered in one year.Instructors will need to be selective in their choice of topics.However, the text's clear exposition, detailed examples, and the provision of answers to the odd-number exercises make it suitable for self-study.

A less challenging alternative to this text is Harold R. Jacobs' Elementary Algebra.It is engagingly written, provides a strong foundation in algebra, and will not overwhelm the average student.

algebreaic
i looked for reviews and found this to be highly regarded and
proposed as the best out of the lot.great book maybe a lil bland but its the first draft of the book from years back and not sure if they are still as bland.does a good job explaining.my problem is i am independently starting to study algebra and found this to be maybe better for a teacher student setting.you will find answers to only half of the problems.
and has a habit of putting problems in the test parts that werent really explained it the study partleaving you to try and figure out or proposing you had a teacher there to help explain.probally my biggest quirp is the end of chapter final tests have no answers in back, but i guess they can't give all the answers i would have looked for a book that had all the answers if i would have thought otherwise only half even less of the problems will tell you if your right.

Algebra Tutor Review
I am a Math major and I have tutored Algebra for many years. This is the best text I have ever seen from a wide range of both public and private schools in my area.I am ordering a personal copy to have on my reference shelf.The text is extremely thorough and not at all watered down (as many of the texts I have recently seen).It covers each topic completely and in depth.An ample set of problems is given and the author builds the student up to the challenge of more difficult problems.Word problems are written with a sense of humor that even gets a chuckle from the eighth grade boys.This author strives to develop an Excellent student not just an adequete student.Highly recommended. ... Read more

Product Description
In Algebra of Probable Inference, Richard T. Cox develops and demonstrates that probability theory is the only theory of inductive inference that abides by logical consistency. Cox does so through a functional derivation of probability theory as the unique extension of Boolean Algebra thereby establishing, for the first time, the legitimacy of probability theory as formalized by Laplace in the 18th century.

Perhaps the most significant consequence of Cox's work is that probability represents a subjective degree of plausible belief relative to a particular system but is a theory that applies universally and objectively across any system making inferences based on an incomplete state of knowledge.Cox goes well beyond this amazing conceptual advancement, however, and begins to formulate a theory of logical questions through his consideration of systems of assertions—a theory that he more fully developed some years later.Although Cox's contributions to probability are acknowledged and have recently gained worldwide recognition, the significance of his work regarding logical questions is virtually unknown. The contributions of Richard Cox to logic and inductive reasoning may eventually be seen to be the most significant since Aristotle. ... Read more

Customer Reviews (4)

Cox understood Keynes better than Ramsey and de Finetti but
Cox understood Keynes's logical approach to probability better than either Ramsey or de Finetti but ultimately fails to improve substantially on Keynes's work due to his overlooking what the fundamental nature of probability is in Keynes's general system.For Keynes probabilities are generally not precise single number answers.Probabilities are indeterminate,inexact,imprecise or indefinite interval(set)estimates that are represented by intervals.These intervals require two numbers to specify the probability relation.Single number answers require symmetry of evidence or the Principle of Indifference(POI).Contrary to Cox ,the POI is not a latent frequentist principle.Cox also fails to recognize that Keynes's primary axiomatic treatment on pages 135-138 of the A Treatise on Probability(1921) of addition and multiplication is an attempt by Keynes to provide an AXIOMATIC TREATMENT THAT WOULD HOLD FOR BOTH PRECISE AND IMPRECISE PROBABILITIES.In chapter 8 of the TP,Keynes provides an axiomatic treatment for the relative frequency interpretation of probability,while in chapter 15,Keynes provides additional axioms needed to treat probability as precise estimates(single numbers) only.Finally,Cox has overlooked Keynes's extension of his discussion of the logical concept of the weight of the arguments,in chapter 6,to Keynes's mathematical counterpart in chapter 26,which Keynes calledthe weight of the evidence.Keynes then defined an index for weight of evidence and incorporated it into his decision rule c,called a conventional coefficient of weight and risk.Keynes's approach is superior to the maximum entropy approach since this approach only applies to statistical evidence alone.(See Cox,ft.17,pp.104-105).

Degrees of belief as an extension of Boolean logic
This is a great, great book that I'm absolutely ecstatic to see back in print. I was introduced to it when I was in graduate school (mathematics) and rooming in the house of a physics professor who swore by Richard Threlkeld Cox's account of subjective probability. I haven't had a copy of it in my hand for nearly twenty years; I happened across this page today and ordered it at once. So pardon me while I gush:

What Cox accomplishes in this deceptively slim volume is amazing. He places Bayesian probability theory on an axiomatic foundation, as a natural extension of Boolean logic, identifying probabilities with degrees of subjective belief in propositions rather than directly with frequencies of events (though he also argues that the subjectivist interpretation accords with the frequentist interpretation whenever the latter makes sense at all).

Essentially, he shows that the ordinary laws of probability theory are normative laws of thought that apply to degrees of belief in propositions, and that we have to conform to them if we want to think consistently.

If you like math and logic books, you'll find this one eminently readable; I haven't seen it in years and yet I still remember the stunning clarity of Cox's rigorous exposition.

This is the book that originally sold me on Bayesianism. If you have any interest in this subject at all, grab this one while it's available.

Like a ten-pound textbook, in only 130 pages
This book contains the fundamental argument justifying Laplace's original theory of probability. Laplace justified his theory by basic intuitive considerations, which left it open to attack on philosophical grounds. Here, R. T. Cox shows how Laplace's theory is the logical consequence of two very simple, almost unavoidable axioms.

Cox begins the book by discussing his axioms, and then expressing them as functional equations. The solution of these functional equations develops the theory to the point at which Laplace began his own development.

(In general, the probability of a proposition is conditional on the truth of some other proposition. An item of particular interest here is that while most Bayesian expositions call this a priori true proposition "prior information", Cox calls this proposition the "hypothesis". This term seems to me to be more sensible, because we are rarely absolutely certain about our prior information. We take our "prior information" to be true, not because we are certain it is true, but as a conjectural point of departure for the subsequent calculation.)

Cox continues the development of the theory by relating the notion of probability to information entropy. He gives a definition for systems of propositions and shows how entropy is related to the uncertainty as to which of the propositions in the defining set of the system is true. (By hypothesis, at least one proposition in the defining set is true.)

Cox finishes the book with a section on expectation. He shows here how the theory he has developed encompasses all of the standard results of expectations found in other theories of probability.

This book looks deceptively thin, but packs the punch of a ten-pound textbook. It requires multiple passes (or, perhaps, one pass, closely read) in order to get all of the information out of it. It is definitely an exposition of an algebra, that is to say, an abstract symbolic method of calculation. Sometimes Cox gives concrete examples to illustrate the abstract reasoning, and sometimes he doesn't. Where he doesn't, the reader is left to puzzle out the concrete consequences of the abstract reasoning. I'm not sure if this is good or bad, but I'm leaning towards good, even though it does make my brain hurt.

The best introduction to logical probability theory
That Gian-Carlo Rota and I both admired this book largely
explains why I have my present position at MIT. But I
cannot write book reviews the way Rota did.

Why should the conventional sum and product rules of
probability hold when probabilities are assigned, not
to *events* that are *random* according to their
relative frequencies of occurrence, nor to subsets of
populations as proportions of the whole, but rather
to *propositions* that are *uncertain* according to the
degree to which the evidence supports them? The tenet
that the same rules should apply to such "degrees of
belief," whether they are "subjective" probabilities or
"logical" probabilities, is the essence of Bayesianism.
The relative merits of Bayesian and frequentist methods of
statistical inference have been debated for decades. But
seldom is the question with which I started this paragraph
addressed. Several answers to that question have been
proposed. Richard Cox's book embodies one of them.

Many writers on foundations of statistical inference are
callously imprecise about the kind of topic dealt with
in this book. Cox is their antipode, writing not only
clearly, but supremely efficiently, beautifully, perhaps
sometimes poetically, about functional differential
equations and about delicate philosophical questions.

Cox also deals with the relationship between entropy and
distributive lattices. Shannon entropy is to distributive
lattices as probability is to Boolean algebras. I do not
think Cox was familiar with standard work on lattice theory.
He never uses the word "lattice," nor other standard
lattice-theory nomenclature. ... Read more

Product Description

Boost Your grades with this illustrated quick-study guide. You will use it from high school all the way to graduate school and beyond. FREE first 3 chapters in the trial version.

Customer Reviews (1)

very helpful guide
i am very satisfied with this guide. ez access and navigation. user friendly digital item. ... Read more

Product Description
Skills Practice Workbook provides ample exercises to help students develop computational skills, lesson by lesson. ... Read more

Customer Reviews (4)

Unless you are an algebra whiz, this is useless
I bought this for my daughter to keep on her skills over the summer, but there is no answer key nor is one available anywhere.It's been many years since I've worked algebra problems so there is no way to check if she's solved the problems correctly.This was a waste of money!

no answers
These problems look good, but without an answer key they're pretty useless. My algebra isn't bad, considering, but I had it 30 years ago, and so it's really not a useful tool for my daughter to review.

Great suplemental worksheets
I am a 9th and 10th grade algebra teacher.My school does not use the McGraw Hill textbook, so I can't speak to how well it supports the curriculum it was designed for. I bought it as a resource for suplemental practice worksheets.For that purpose, it's great.The worksheets assume some prior knowlege but a need to practice the fundamentals.There are a lot of similar problems, so students can gain confidence and familiarity.Buy this book!

Successful Order
I received my order in a timely manner, and the book was in great shape. ... Read more

Product Description
Further Linear Algebra is a natural sequel to the authors' highly acclaimed Basic Linear Algebra (ISBN 3-540-76122-5). The more advanced topics covered here take the reader to the very heart of the subject, and include inner product spaces, direct sums of subspaces, the primary decomposition theorem and various canonical forms for matrices. Furthermore, the authors provide a brief introduction to the use of MAPLE in linear algebra calculations, and biographical profiles of eminent mathematicians associated with the subject. ... Read more

Customer Reviews (2)

Buy With a Bottle of Glue...
Or you may lose a few pages.
The first day of use a pair of sheets came undone.I glued them in and now another set is coming out.The mathematical material looks well done and is nice pedagogical work.I would have given the book 4 or 5 stars for that, but the physical packaging--a responsibility of the publisher--is terrible.Why didn't they sew in the pages of a math text, which always can be counted on to receive heavy use?The first day of use and it begins to fall apart, too!Glue alone is not enough; I've owned cheap paperback novels which were bound more durably.Shame on Springer, a venerable science publisher!

Fascinating, rigorous and fun
I used this book as part of a Linear Algebra 2 course and found it to be clear and enjoyable to learn from.The chapter on the history of the major pioneers was particularly delightful.This book contains more than most Linear Algebra 2 courses cover (at least more than we did) so I wouldn't necessarily recommend it as THE book to buy to learn Linear Algebra.As its name indicates, it is more of an enrichment book in many ways.I think that this book, like many put out by Springer, helps flesh out an otherwise daunting subject, showing part of its mathematical beauty that is visible on the undergraduate level. ... Read more

Product Description
The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of high school and college students. These same ideas, this development, are available in the following books to any student who is willing to read, to be stimulated, and to learn.

"Algebra" is an elementary algebra text from one of the leading mathematicians of the world -- a major contribution to the teaching of the very first high school level course in a centuries old topic -- refreshed by the author's inimitable pedagogical style and deep understanding of mathematics and how it is taught and learned.

This text has been adopted at:Holyoke Community College, Holyoke, MA * University of Illinois in Chicago, Chicago, IL * University of Chicago, Chicago, IL * California State University, Hayward, CA * Georgia Southwestern College, Americus, GA * Carey College, Hattiesburg, MS ... Read more

Customer Reviews (7)

Great book, not hard enough
Its a great book! You can't deny it! But, if you have more than some experience in algebra, you may want to consider something else. I would have liked it even more if had hard problems from Olympiads.

A few novelties
This is a good, intelligent introduction. I assume most readers will know their algebra already and look for novelties departing from the norm in this book. There are very few of those; the list of novelties below is virtually complete.

The most innovative theoretical presentations are the following. Discussions of multiplication of negatives and negative exponents motivated not only by the standard "preserve the rules" argument but also an extrapolation argument based on continuation of sequences (§§ 14, 18). "Vieta's theorem" that the roots of a quadratic equation sums to the negative of the coefficient for x and multiply to the constant term, and some interesting problems involving this, such as a generalisation to qubics and a proof that there are infinitely many solutions to a^2-2b^2=1 (§ 52).

Some pretty rare sections have novel conceptual problems, such as the following. "Prove that a polynomial of degree not exceeding n is defined uniquely by its n+1 values" (§ 38). "The remainder of a polynomial P when divided by x^2-1 is ... ax+b ... How can you find a and b if you know the values of P when x=-1 and x=1 [the roots of x^2-1]?" (§ 37).

The are also a few interesting application-type problems, reproduced here. The difference in the sequence of squares is a geometric series increasing by 2---why? (§ 24). The partial sums of the powers of two {2^n} are always one less than the next term---why? (§ 36). Is x^2+x+41 always prime (Euler, § 38)? "Prove that the square has the maximum area among all rectangle having the same perimeter" (§ 59), and some other optimisation problems (§ 59, 68), the novelty being that these are treated as applications of graphing.

good introductory text on algebra
I use this text to teach my 9-year old son algebra.The book is good, but beware that the scope is quite limited.I consider it a good text for elementary algebra.Roughly it corresponds to 7th - 9th level in countries like Hong Kong/Japan/Singapore.

School level text
An excellent source of exercises and examples to work out Algebra, at a school level. Gives just what school lessons usually lack of. Enjoyable.

Splendid and illuminating algebra text.
This text, which is intended to supplement a high school algebra course, is a concise and remarkably clear treatment of algebra that delves into topics not covered in the standard high school curriculum. The numerous exercises are well-chosen and often quite challenging.

The text begins with the laws of arithmetic and algebra.The authors then cover polynomials, the binomial expansion, rational expressions, arithmetic and geometric progressions, sums of terms in arithmetic and geometric progressions, polynomial equations and inequalities, roots and rational exponents, and inequalities relating the arithmetic, geometric, harmonic, and quadratic (root-mean-square) means.The book closes with an elegant proof of the Cauchy-Schwarz inequality.

Topics are chosen with higher mathematics in mind. In addition to gaining facility with algebraic manipulation, the reader will also gain insights that will help her or him in more advanced courses.

The exercises, which are numerous, often involve searching for patterns that will enable the reader to tackle the problem at hand.Many of the exercises are quite challenging because they require some ingenuity.Some of the exercises are followed by complete solutions. These are instructive to read because the authors present alternate solutions that offer additional insights into the problem.

I also highly recommend the other texts in the Gelfand School Outreach Program.They include The Method of Coordinates, Functions and Graphs (Dover Books on Mathematics), and Trigonometry. Also, to gain additional insights into the inequalities at the end of this text, the reader may wish to consult an Introduction to Inequalities (New Mathematical Library) by Edwin Beckenbach and Richard Bellman. ... Read more

Product Description
This manual contains completely worked-out solutions for all the odd-numbered exercises in the text. ... Read more

Customer Reviews (4)

Solutions Manual Blitzer College Algebra 5e
Wonderful! Really helped because it works out problems instead of just giving answers. Only gives answers to odd numbered problems though.

A Must Have
Although this solutions manual is labeled 5e, it goes with Blitzer's College Algebra 3e. At first I thought I had the wrong book because it's pink and the text is yellow. It is a must have for me because it shows you how to arrive at the solution and doesn't just give the answers that are in the back of the book anyway. The only criticism I have is that on some of the most complicated problems, the author skips steps. People who need the solutions manual need ALL the steps.

Very Helpful!
This book is great!! Not only does it give the answers, it gives step by step detail of how to correctly solve the problem. So, when you get something wrong, it actually helps you track down where the error came from! Very helpful for someone like me who HATES math! :)

Probably not what you are looking for
This book is the student solutions manual for Blitzer's 2nd edition of "College Algebra", not the 3rd edition wich is probably what you are looking for.If you need the 3rd edition you will probably have to buy it from your college book store. ... Read more

Product Description
This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as 'merely an attempt to talk about' algebra, he succeeds in writing an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields, commutative rings and groups studied in every university math course, through Lie groups and algebras to cohomology and category theory, the author shows how the origins of each algebraic concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Comparable in style with Hermann Weyl's evergreen essay The Classical Groups, Shafarevich's new book is sure to become required reading for mathematicians, from beginners to experts. ... Read more

Customer Reviews (2)

Recreational but no-nonsense.
An off-hand account of algebra by one of the best authorities of thesubject. Recommended as a "serious" pass-time.

Modern Mathematics from the viewpoint of Algebra.
The author explains not just the definitions but also the 'philosophy' of algebra with highly non- trivial examples from geometry,analysis & topology not to mention algebra itself. Examples motivate the concepts and show their usefulness. There islittle number of formal proofs, but theorems areusually supported by natural 'explanations' whichmay be even more adequate. Frequently a single example in this book can replace a substantial theory of the corresponding subject. For example, about axioms of projective geometry. A reader with no knowledge of modern algebra cantry reading it ,but it would be more interestingif familiar with subjects of undergraduate mathe matics. Then an undergraduate reader will get some ideas how modern math uses sophiscated tools from algebra to understand other subjects. Another merit of this book is that it can besmoothly followed by the author's famous 2-volume textbook on algebraic geometry. ... Read more

Product Description

The Tobey/Slater Series builds essential skills one at a time by breaking the mathematics down into manageable pieces. This practical “building block” organization makes it easy for readers to understand each topic and gain confidence as they move through each section. The authors provide a “How am I Doing?” guide to give readers constant reinforcement and to ensure that they understand each concept before moving on to the next. With Tobey/Slater, readers have a tutor and study companion with them every step of the way.  A Brief Review of Arithmetic Skills; Real Numbers and Variables; Equations and Inequalities; Solving Applied Problems; Exponents and Polynomials; Factoring; Rational Expressions and Equations; Graphing and Functions; Systems of Equations; Radicals; Quadratic Equations.  For all readers interested in basic college mathematics.

Customer Reviews (2)

super easy ordering
i received this book very fast, as my daughter needed it for her class. excellent condition

good deal
about less than half the original price and in pretty good shape! very pleased! thanks guys! ... Read more

Product Description

This second volume of this text covers the classical aspects of the theory of groups and their representations. It also offers a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras. It reviews key recent developments in the theory of special ring classes including Frobenius, quasi-Frobenius, and others.

Product Description
Reflecting the latest New York State curriculum change, this brand-new addition to BarronÂ's LetÂ's Review series covers all topics prescribed by the New York State Board of Regents for the new Integrated Algebra Regents exam, which replaces the Math A Regents exam. This book stresses rapid learning, using many step-by-step demonstration examples, helpful diagrams, enlightening Â"Math FactÂ" summaries, and graphing calculator approaches.Fourteen chapters review the following topics: sets, operations, and algebraic language; linear equations and formulas; problem solving and technology;ratios, rates, and proportions; polynomials and factoring; rational expressions and equations; radicals and right triangles; area and volume; linear equations and graphing; functions, graphs, and models; systems of linear equations and inequalities; quadratic and exponential functions; statistics and visual representations of data; and counting and probability of compound events. Exercise sections within each chapter feature a large sampling of Regents-type multiple-choice and extended response questions, with answers at the back of the book.Students will find this book helpful when they need additional explanation and practice on a troublesome topic, or when they want to review specific topics before taking a classroom test or the Regents exam. Teachers will value it as a lesson-planning aid, and as a source of classroom exercises, homework problems, and test questions. ... Read more

Customer Reviews (3)

Too early to rate this.
This looks like a fine book, but the real test will be whether it helps my daughter pass her math regents. Her teacher had us buy it, so hopefully it will be helpful.

Too Many Errors
I have found many errors in the answer guides, even one in an example! I emailed the company, but no response. I checked with other math teachers. They agree that the errors I found are, in fact, errors.It's annoying.I think the book is terrific, and the problems are excellent, but please do not think you're loosing your marbles if you don't agree with the answer guide!!!

Integrated Algebra
The author is hampered by the fact that the Integrated Algebra is
a brand new regents. There is no prior history. At the end of the
volume, there is a good sample exam which emulates the actual ones
to be administered in January and June of 2008. In short, don't
throw out your old Math A book because it contains more pertinent
regents practice questions.

A cursory review of the new volume disclosed that the content is
similar to the Math A. The sample exam is slightly more complicated
and theoretical.

Parts 2 and 3 of the new sample exam are significantly more complex
than the comparable Math A. I suspect that the initial
administrations of this new exam will produce a curve which reflects
the learning transfer in the new course.

The examples in the new Integrated Algebra are pertinent. There are plenty of illustrations on how to utilize the statistical calculator
to solve a plethora of problems-particularly in probability and statistics.

From a review of the sample exam, I believe that candidates should
endeavor to maximize their score on Part I of the exam which is
fairly comparable to the current Math A.

The new volume is replete with plenty of pertinent examples in
polynomials, number theory, equations, elementary trigonometry and
probability/statistical inference amongst many other topics. The
acquisition would be a good value for the price charged. Students
would benefit from this volume because it contains sufficient illustrations to amplify the concepts tested on the "live regents exam".
Practice is helpful because the new regents criteria requires a
minimum passing grade of 65 in all the regents subjects pertinent
to obtaining a diploma in NYS.

The new Integrated Algebra matter will be tested again in one form or another on the Collegiate SAT. ... Read more

Product Description
Authoritative. Concise. Easy-to-Use.

Schaum's Easy Outlines are streamlined versions of best-selling Schaum's titles. We've shortened the text, broadened the visual appeal, and introduced study techniques to make mastering any subject easier. The results are reader-friendly study guides with all the impressive academic authority of the originals.

Schaum's Easy Outlines feature:

• Concise text that focuses on the essentials of the course
• Quick-study sidebars, icons, and other instructional aids
• Sample problems and exercises for review

Product Description
Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students, this text's comprehensiveness and reliability also make it an essential reference for professionals. Errors have been corrected and new sections on greatest common divisors and symbolic integration have been added to this updated edition. First Edition Hb (1999): 0-521-64176-4 ... Read more

Customer Reviews (5)

Very nice
This is a very nicely written text, comprehensive in what it aims to cover.The illustrations are plentiful and very helpful.The material is mostly self-contained and presented in a novel way (Fermat, Euler, Hilbert each have their own groups of sections!).

This is the best treatment I've seen for lattice basis reduction (a topic treated in many other texts) as well as for polynomial factoring over fields (Cantor Zassenhaus) and other topics.I've read parts of this book that were irrelevant for my research simply because the book is a joy to read.Highly recommended to anyone with an interest and some degree of mathematical maturity.

The only drawback is that my edition has a number of typos, some serious (however the authors do provide an online corrigenda).

State-of-the-art in CAS
I am a C programmer and this book was fundamental to introduce myself in the field of computer algebra systems (CAS). It's very well structured and at the state-of-the-art in that discipline. The only remarks is about the strong presence of author's mother-tongue influences in some English phrases.

Good overview
A good and complete review, a very good bibliography. Wonderfull graphics. A subtle sense of humor.

Mod. Computer Algebra
A lucidly written book.Has well balanced background and problems.However, it needs to have more tricky problems that really makes one think deeper though there are some. The book proves a very good assest to the Library.

MCA - very adequate book on computer algebra topics
Covering a lot of topics on "Computer Algebra" this book is a fine workout. Many mathematical proofs are provided and most subjects are explained and outlined very accurately. Only sometimes things can not aseasily be seen as the author clames. The homepage of Mr. von zur Gathenprovides a postscript file with corrections and additions and even more onecontaining solutions to many of the given exercises. ... Read more

Product Description
The Bittinger System for Success—Make It Work For You! Building on its reputation for accurate content and a unified system of instruction, the Tenth Edition of the Bittinger paperback series integrates success-building study tools, innovative pedagogy, and a comprehensive instructional support package with time-tested teaching techniques. ... Read more

Customer Reviews (12)

Great book for math
I order the book that I needed and I got the book right way via regular mail. Good business with this book store!

Best seller on amazon:))))
This seller was very fast. I asked for my item to be shipped right away and I got it two days later!!
I hope Im able to need more books that he/she is selling in the future thumbs up:))))))

It's a Math Book
This is a math textbook for college. The end. It's a good book and shows some good examples...actually better examples and techniques than the kind my professor shows...which should say quite a bit but considering she's a horrible teacher, it's not saying a lot. Would I buy it again? Only if I had a class that required it.

very good condition
the book was in very good condition. I would definitely buy more books from amazon..!

ALGEBRA
THANK YOU ADAM FOR SENDING THE BOOK... YOU WENT THE EXTRA MILE AND HELPED US LOCATE IT WHEN IT DID NOT ARRIVE.
THANKS ... Read more

Product Description
Building on its reputation for accurate content and a unified system of instruction, the Bittinger paperback series integrates success-building study tools, innovative pedagogy, and a comprehensive instructional support package with time-tested teaching techniques. ... Read more

Customer Reviews (4)

Great Explanations!
Bittinger always writes great textbooks. I love this solution manual that goes with the Intro and Intermediate Algebra book, too. Bittinger and Beecher give complete step-by-step explanations of how to work each problem. Really incredible! I tutor math, and with this book, my services are probably not needed by most!

Great help
This purchase coincided with the actual book for class and provided the written out answers to questions I could not have figured out without it.

awesome book for any student
This book is exactly what I need to understand my algebra class. Thanks so much for recycling it for me to use.

A helpful study companion!
The regular textbook lists answers to the odd-numbered problems. This solution manual breaks down the whole (odd-numbered) problem, showing you how to solve it, step-by-step. It's very useful in helping you visualize the problem. It's low cost, using fully black-and-white printing, soft covers. I also highly recommend the Casio FX-115ES scientific calculator once you get to chapters 5 and later. It's display is different from all other calculators. Casio calls it a "natural display". ... Read more

Customer Reviews (3)

Solution manual very helpful
Being a homeschool mom it helped to have the solution manual to review the steps of the problems when my son just did not get it. I found it to be valuable tool.

It's Great
It's great and easy to understand. It's broken into many different lessons that are really easy to comprehend.

Algebra Structure and Method
The book is broken down very nicely into sections.The topics are introduced clearly and briefly in understandable terms.Following the introductions are some examples that apply the concepts and/or equations. Each example has the step by step solution which is easy to follow andprepares the user for the practice exercises.There are sufficientpractice problems with answers to the odd numbered problems.This allowsthe user to check his or her answer and correct any mistakes. ... Read more