Customer Reviews (5)

Just What I Ordered
The book arrived in a timely manner and in excellent condition! I am very satisfied!

My order it's what I expected and was shipped fast
The book that I ordered was a used book, and it was in good condition. The condition of the book was what the seller described. I recieved it earlier than it was promised.

Algebra Book
This was a good real for a used book. It had very few writing in it for being used. It was in very good condition.It took about 2 to 3 days for the book to arrive, it was very quick. I recommend this, I would trust having this company..i mean buying from this book salescompany again. I needed this book for a math placement test fo highschool and it really helped me because , now im in geometry in 9th grade.

One of the Best Textbooks for Algebgra 1
This books provides your student with detailed examples to properly complete the problems listed in the book. I recommend this book for anyone who wants to learn Algebra 1.

From a teacher's perspective:Best Algebra Book in Print
I've been teaching math for 10 years and tutoring longer.Twice I've been awarded teacher of the year and I've been very involved in determining the accreditation of other high schools.I've seen a lot of algebra texts.This is the best text book from which I have ever taught.It gives excellent explanation for the student and the ancillary materials available to the teacher are great.It's a total winner.No complaints.I believe in this book so much that I just purchased a class set, with my own funds, for my son's private school.
Mr D ... Read more

Product Description
Determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems; hints and answers.
... Read more

Customer Reviews (21)

Excellent text for the mathematically mature
I bought this book about four years ago and haven't got around to writing this until now. One reason is that I still haven't finished the book, although I've gone through the first five and half chapters in detail as well as bits and pieces of the later chapters. I've seen enough to know that this is a first rate text. I majored in math, but even after graduating my linear algebra was pretty weak. This is the perfect book for either a second exposure to the subject or as a refresher after some time away from the subject. It starts from the basics but might not be suitable as a first text (except for the strongest students). Even then I'd recommend simultaneously going through a simpler book to get more concrete, computational experience.

This is definitely a dense book. The first chapter alone covers just about everything you need to know about determinants, although no geometric interpretation is given. It has material that isn't covered in most books, namely the Laplace expansion for the determinant, which is used later on in a clever way to prove Det(AB)=(Det A)(Det B). The order of some topics is slightly unusual (compared to the other books that I've seen), but it leads to nice proofs later. For example, the rank of a matrix is defined as the size of the largest minor with nonzero determinant and then the other definitions are shown to be equivalent later on. In the meantime this definition is used to prove certain theorems about dimension and the size of a basis, and so on. Also, he introduces factor spaces and even the isomorphism theorem V/ker f ~ im f (I need LaTeX).

I do find the later chapters pretty daunting. No doubt this is mostly because I need more time with the material, but looking at Shilov's treatment of projections and least squares problems for example, I could see myself struggling mightily if I hadn't already digested the material in other books. Maybe the perfect route to a second course in linear algebra would be the first 5 chapters of Shilov, then as much of Axler's Linear Algebra Done Right as possible, then back to Shilov, etc. Nothing beats Shilov's early chapters, but there are some later topics in Shilov's book that I think Axler covers better.

There are a few other minor complaints. Obviously there are some typos but I haven't run into anything too major. Maybe a mixed up subscript or if I remember correctly, saying "no more than" instead of "no less than". Also, major theorems aren't really labeled as such or separated in any way from anything else. The rank-nullity theorem is just labeled 4.12b or something like that.

Still, this is a 5 star book all the way, even before you factor in the price. Given that this is about $12, how can you possibly go wrong? Highly recommended.

Translator transformed a masterpiece into a monster's piece
5 stars for the author, but regrettably only one star for the translator. Dr. Richard Silverman should stay well within his expertise which is mathematical translation. Please do not second guest the thinking behind the Russian genius. Dr. Silverman, in the process of freely editing, transformed a masterpiece from a mathematical authority into a monster's piece. There are numerous typos and simple algebra, and sometimes conceptual errors to make the book legitimate for learning mathematics. For example, in section 6.1, the lengthy construction of the "Canonical Form of the Matrix of a Nilpotent Operator", The translator completely mixed up the construction of space (H sub r) making it almost impossible to follow. It is not a typo error as claimed by the translator.

However, regarding to the real content of the book.
It is a masterpiece from a mathematical genius. Brilliance mathematical expositions and beautiful proofs. The expositions are coherent and rigorous. And though, it would have been very readable if the mistakes were corrected.

Excellent Linear Algebra Text
I needed to refresh my understanding of linear algebra and so I read Shilov.

I studied matrix algebra 40 years ago and I needed to refresh my algebra skills.This text was just exactly the review I needed.

Slow going (for me anyway)
Full disclosure: I'm not finished with this book yet.My last encounter with linear algebra was in 1978, so I expected some head-scratching.But it took me many hours just to get 25 pages into this book.Linear algebra is not Einstein science, so I was worried.I compared this book to my 30-year-old college textbook, and the college textbook wins.This book is lacking in examples.A theoremis presented, then proved, then given a reference number, and then pops up later by reference number, forcing use of many bookmarks.

On the positive side, the price is a bargain.And, the translation from the original Russian is absolutely invisible.

rigorous and rewarding
Shilov's Linear Algebra is a great book for mathematicians wanting a detailed and rigorous exposition of the subject matter.All the standard topics in linear algebra are covered, such as: determinants, cofactors, minors, and more topics in matrix algebra; linear spaces; linear and bilinear operators and forms; quadratic forms; matrix representation of linear functions; eigenvectors and eigenvalues; Euclidean and Hermitian spaces; orthonormal bases; etc.Some more advanced topics are also touched upon; there are brief sections on tensors, multilinear forms, and spectra, jets and polynomials, but I wouldn't recommend this book to learn about these, as there are more complete treatments elsewhere.There are also two appendices, one on some basic representation theory, the other on category theory.Again, this is not the best book to learn about these topics, but it is interesting that they are included, perhaps to show some theoretical applications of linear algebra.
The proofs are detailed and precise, making the book great for self-study.A few of the proofs are actually quite original, which is impressive for such a well-worked subject.There are also large and comprehensive problem sets at the end of each chapter, with either full solutions or hints given in the back.This book is also good in that it is mostly self-contained, presupposing almost no prior knowledge of linear algebra or other fields of mathematics.
This would probably not be a good book for someone learning linear algebra for the very first time, or for someone looking for a quick-and-easy reference for formulas.Shilov takes the pure mathematician's approach of presenting everything with a high degree of generality, probably more than would be necessary for most undergraduate college classes in linear algebra or for engineers and computer programmers.But if you're a mathematician looking for a complete and self-contained account of this fundamental subject, or just someone who enjoys the rigor and beauty of pure mathematics, this is the book for you. ... Read more

Product Description

Your hands-on guide to real-world applications of linear algebra

Does linear algebra leave you feeling lost? No worries —this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction.

• Line up the basics — discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices

• Relate vectors and linear transformations — link vectors and matrices with linear combinations and seek solutions of homogeneous systems

• Evaluate determinants — see how to perform the determinant function on different sizes of matrices and take advantage of Cramer's rule

• Hone your skills with vector spaces — determine the properties of vector spaces and their subspaces and see linear transformation in action

• Tackle eigenvalues and eigenvectors — define and solve for eigenvalues and eigenvectors and understand how they interact with specific matrices

Open the book and find:

• Theoretical and practical ways of solving linear algebra problems

• Definitions of terms throughout and in the glossary

• New ways of looking at operations

• How linear algebra ties together vectors, matrices, determinants, and linear transformations

• Ten common mathematical representations of Greek letters

• Real-world applications of matrices and determinants

Customer Reviews (6)

not perfect but useful
you might notice a few typos every 20 pages. I can let that go cause I've never been exposed to this subject.

The typos are a tremendous shame
I just finished the text. It is a nice easy review. The amount of theory and proofs is kept to a minimum which should please those who are less gifted mathematically. The major issues as stated elsewhere are the number of typos and errors which were not caught in the editing process. Many are obvious and easy to fix. I would encourage the editors of this series to be more careful in the proofing. Perhaps it is too expensive given the low purchase price of the texts. Maybe we should all send in a list of errata and they could print a new edition.

be smarter than the book!
I really like the approach of this book, as it uses good analogies, examples, graphs, and figures that appeal to your intuition to give deeper meaning to the subtleties of linear algebra.But it is a shame there are typos and mistakes.One in particular blew my mind - on p. 51 she states " A square matrix is singular if it has a multiplicative inverse; a matrix is non-singular if it does not have a multiplicative inverse."This is exactly opposite of how everyone else defines "singular", but she uses this definition consistently throughout the book, so either it's a mistake or she has decided to rewrite the rules of linear algebra.Either way, it's not helpful!!!

I hate having to make corrections on a book I just paid for, but for the price, what can you expect?Most textbooks on the subject are between two and ten times more expensive, and they have mistakes too.But the other books are dense, dry, and boring.At least this book attempts to make linear algebra interesting, if not fun.

useful to me
College was a long time ago - I needed a refresher to do my job; this provided it.

Linear Algebra for Dummies
Good explanations, but a disappointing number of substantive typos that make the examples confusing.

I would recommend this book, particularly as a review for those of us who had the subject in college but have forgotten most of it.Just be careful of those typos and keep a pencil handy to make corrections while the details are fresh in your mind. ... Read more

Product Description
These authors have created a book to really help students visualize mathematics for better comprehension. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understand the material. ... Read more

Customer Reviews (16)

excellent condition
I purchased a used text book and expected a used looking text book, but it looked completely brand new.Very happy with my purchase.

Great buy!
Came to me quickly and in good condition. There was a little wear but that's to be expected when buying used. I am very happy with this product.

A decent book...
Overall, I really like this book. The writing is very clear and there are lots of graphs, illustrations and examples that makes it an excellent purchase for visual learners like me. Compared to most contemporary texts on this subject, the 3rd edition of College Algebra by Beecher, Penna and Bittinger is the best book on the market . However, it's not without flaws.

The author's could have explained polynomial long division in greater detail, and the section on partial fractions could've been better. Specifically, I would have liked to see verbal explanations in the margins on how to carry out long division, and on how to construct partial fractions from a rational expression whose denominator contains repeating linear or quadratic factors. Also, some of the examples in the first section on matrices were unnecessarily long and, at times, difficult to follow. For these reasons I consider this a good(but not a great) text for self-leaners. A great math book will NEVER force you to look up explanations on the internet.

Nevertheless, I benefited from the overall organization and clarity of this book, as well as the multitude of excercises/problems sets at the end of each section. Hence, I give the book 4 out of 5 stars.

Fully Satisfied
Received this book in 8 days with Standard Shipping and in condition specified. Great transaction and fully satisfied. Would order from this seller again!

Why so many pictures?
First of all, I was amazed by the number of pictures in the book! Made me think I was reading Time or Newsweek in bed. Unfortunately, all those colors and pictures put me in the same frame of mind. Very distracting.

Secondly, I found the style and approach rather mechanical. I am returning to Maths after many years, just as a hobby, but was a little surprised and disappointed by the "style change" in mathematics textbooks. But then, I am no expert. The exercises, I felt, were rather poor and uninspiring, making up in quantity what they lacked in quality. I had to turn to older books to find interesting problems to work on.

Also annoying were the numerous advertisements masquerading as "study tips" that the publishers inserted in various places.

Otherwise, a satisfactory book, better than many similar ones.
... Read more

Product Description
When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core algebraic concepts -- from monomials, inequalities, and analytic geometry to functions and variations, roots and radicals, and word problems -- and get the best possible grade.

At CliffsNotes, we're dedicated to helping you do your best, no matter how challenging the subject. Our authors are veteran teachers and talented writers who know how to cut to the chase -- and zero in on the essential information you need to succeed. ... Read more

Customer Reviews (16)

great product
I receive the product in a timely manner and it was in perfect condition.
Thank you

An excellent review for the person where algebra is still reasonably fresh in their mind
While this book will be of little value if you need to learn or significantly re-learn basic algebra, it is an excellent resource if you simply need a refresher to prepare for a competency or placement exam. The coverage is complete though concise; a topic is introduced in as few words as possible and the examples as few as needed. If you have gone through the subject with understanding, then the examples will be sufficient. However, if you are weak in a topic, then the examples will be insufficient, although you will learn that you need to explore the subject in more depth.

Concise Review
This book is stripped down and to the point.All the information you need to do a thorough review without all the fluff.I would have rated it a "5" if it had more "Test Yourself" questions -- but, that's a personal preference (don't let it stop you from buying the book).

Concise, Clear Review of the Fundementals of Pre-Algebra and Algebra I
I've tried other Algebra and Pre-Algebra resource books, but keep coming back to this one.

Clear, concise, handy paperback filled with 13 chapters which review all you will learn in Pre-Algebra and Algebra I classes.A core review, online resource guide and glossary of related terms are also in the book.

An excellent reference resource, the book contains the following subjects:

Chapter 1: Preliminaries and Basic Operations (Pre-Algebra)
Chapter 2: Signed Numbers, Fractions, and Percents (some is covered by Basic Math and Pre-Algebra classes).
Chapter 3: Terminology, Sets and Espressions
Chapter 4: Equations, Ratios, and Proportions
Chapter 5: Equations with Two Variables (touched on in Pre-Algebra)
Chapter 6: Monomials, Polynomials, and Factoring
Chapter 7: Algebraic Fractions
Chapter 8: Inequalities, Graphing, and Absolute Value (touched on in Pre-Algebra)
Chapter 9: Coordinate Geometry
Chapter 10 : Functions and Variations
Chapter 11:Roots and Radicals
Chapter 12: Quadratic Equations
Chapter 13: Word Problems

For those students in need of a bit more review of the basic concepts leading up to Algebra I, consider this book:
CliffsNotes Basic Math and Pre-Algebra Practice Pack.

Overall, this book covers the core subjects in a well-organized, concisely written, simple way, which makes understanding the concepts and applying them, much easier.

Algebra 1/ Cliff Notes
Book was in great shape and was what I was looking for. ... Read more

Customer Reviews (6)

fit for purpose
I bought this book so my daughter could keep one at the sitter's house so she didn't have to carry it in her backpack.The condition in which it arrived was poorer than how it had been listed.I contacted Amazon and the seller and they were very gracious and worked with me to make sure I was happy with the transaction.I highly recommend using this process for buying used books!

this sucked
I was sorely disappointed the description and ISbn number were grossly misrepresented the item was badly used and barely held together and information completely unusable even though the same isbn number and title were represented in the selleres listing boo on the seller and boo on amazon worst experience i have had in a long time

Good deal
Purchased used text book for school.Great book and price.Delivered quickly.Would recommend purchasing from site in future.

vey pleased and happy with this book
it was exactly what i order, it arrive fast and I'm very happy with it. I highlyrecomend it, when needing certain text books.

Fabulous Algebra 1 book for students, teachers, and tutors
First off, I am a tutor to many Algebra 1 students, including some who take algebra with me for h.s. credit in lieu of taking it at school. I am very familiar w/myriad algebra texts.

This book is a jazzier version of the 1994 publishing by Stanley Smith under the Addison Wesley label (owned by the same publishing house as Prentice Hall).I wrote in my review of the 1994 book that my only suggestion would be to take out Chapters 14 & 15 on probability and trig, as they don't really belong in an Alg 1 book.Coincidentally, this book has done exactly that. Hooray!

The font, colors, typography, and imagery are more eye-catching than the bland 1994 book, and there are fewer problems of the purely "drill, drill" variety.They've replaced some of those problems with more challenging application problems toward the end of each assignment, but there are still sufficient problems for assigning many practice & drill problems.In fact, most of the problems are exactly the same as in the 1994 text.

Overall, it's a nice improvement over the older text.They made it more visually and otherwise interesting *without* sacrificing content, as so many algebra texts do. This alone sets it apart from the majority of US-published algebra texts out there. (I tend to agree with a former teacher of mine when he said that, in his experience, the quality of a text is inversely proportional to the number of pretty pictures in it.) :-)

I will continue to refer my students to algebra texts authored by Stanley Smith. ... Read more

Product Description
When you have the right math teacher, learning math can be painless and even fun! Let Basic Math and Pre-Algebra Workbook For Dummies teach you how to overcome your fear of math and approach the subject correctly and directly. A lot of the topics that probably inspired fear before will seem simple when you realize that you can solve math problems, from basic addition to algebraic equations. Lots of students feel they got lost somewhere between learning to count to ten and their first day in an algebra class, but help is here!

Begin with basic topics like interpreting patterns, navigating the number line, rounding numbers, and estimating answers. You will learn and review the basics of addition, subtraction, multiplication, and division. Do remainders make you nervous? You’ll find an easy and painless way to understand long division. Discover how to apply the commutative, associative, and distributive properties, and finally understand basic geometry and algebra. Find out how to:

• Properly use negative numbers, units, inequalities, exponents, square roots, and absolute value
• Round numbers and estimate answers
• Solve problems with fractions, decimals, and percentages
• Navigate basic geometry
• Complete algebraic expressions and equations
• Understand statistics and sets
• Uncover the mystery of FOILing
• Answer sample questions and check your answers

Complete with lists of ten alternative numeral and number systems, ten curious types of numbers, and ten geometric solids to cut and fold, Basic Math and Pre-Algebra Workbook For Dummies will demystify math and help you start solving problems in no time! ... Read more

Customer Reviews (16)

Product review
I received this product in a timely manner and in perfect conditionThank you

VERY BASIC
I got this book to review over some basics before I went onto the Algebra I book. I took my last college math class, 3 years ago and I am preparing for chemistry in the Fall. I really felt this book was very simple and you can breeze through this book with no problem. I worked on this over 3 days, I went through every chapter and re-worked the problems I got wrong. It wont take long to go through, and you dont even have to dedicate that much time to it either. I am glad I went through it, but it was a lot more basic than what I was thinking it was going to be.
I did find several mistakes throughout the book, which is a hassle when your not sure if you go the problem right. Also the fractions are very small in the book, they really should up the font size for them.

Geography wrong and some answer typos
The instructions and most of the information in this book are great and it tremendously helped me prepare for my next step into Algebra, and foremost I learned.The only problem I had was with the information towards the end of the book particularly with the Mayan numerals section.I want to clarify the Mayans dominated the southern part of Mexico, which is in North America, and most of Central America.The author erroneously wrote they were in South America.Mexico, Canada, and the United States of America are in the continent of North America.Central America divides North and South America.The great Incas were the dominate large tribe in South America. I also found many errors. Errors such as problems which did not equal the written answers.I hope this information is corrected in the next version so we do not confuse anymore readers.

workbook only, please!
I bought the bundle of Basic Math and Pre-Algebra For Dummies plus the workbook.I started out trying to use them both but very quickly disregarded the book and worked only with the workbook.I figured I would reference the main book if I had any problems but ended up never using it at all.I have yet to receive my copy of Algebra for Dummies so I can't say that it doesn't pick up were this one leaves off, but I'm a little disappointed to see it's not by the same author.

Basic Math Refresher
After being out of school for twenty years, I am faced with the challenge of higher math again. This is a great way to get back up to speed.The book explains the basics in easy to understand terms for those just learning or looking to brush up on their skills.The only criticism I have is that there aren't enough practice questions.There are a few, but more would certainly be helpful.All in all this book is definitely worth the money. ... Read more

Product Description
This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents--without having defined determinants--a clean proof that every linear operator on a finite- dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus, the text starts by discussing vector spaces, linear independence, span, basis, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite-dimensional spectral theorem. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

FROM THE REVIEWS:

AMERICAN MATHEMATICAL MONTHLY"The determinant-free proofs are elegant and intuitive."

CHOICE "Every discipline of higher mathematics evinces the profound importance of linear algebra in some way, either for the power derived from its techniques or the inspiration offered by its concepts. Axler demotes determinants (usually quite a central technique in the finite dimensional setting, though marginal in infinite dimensions) to a minor role. To so consistently do without determinants constitutes a tour de forces in the service of simplicity and clarity; these are also well served by the general precision of Axler's prose. Students with a view towards applied mathematics, analysis, or operator theory will be well served. The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library." ZENTRALBLATT MATH "Altogether, the text is a didactic masterpiece." ... Read more

Customer Reviews (54)

Very poor quality printing
I have nothing to say about the content of the book itself; it seems to be an excellent book.However, one major problem (that Amazon apparently tries to hide) is that the softcover edition is a print-on-demand book.This wouldn't really be a problem, if the printing quality was anywhere close to that of a normal book.Unfortunately, it isn't.The entire book looks like it was run through a cheap fax machine.There is noticeable fuzziness and pixelation; it is highly annoying, looks terrible, and makes the book hard to read.I cannot believe Springer would produce something of such low quality.I plan to return this book and get a used hardcover copy.

Linear algebra made fun!
OK, I admit that I have never much liked matrices (or determinants). Standard textbooks for undergraduates typically seem to devote 200-250 pages to telling one in an informal and concrete way what a vector is, what a matrix is, what a determinant is and how to do all sorts of highly boring / tedious matrix operations, etc., i.e., there is no real algebra in these so-called linear algebra books until one is pretty much bored to tears.And even when they do introduce some algebra, they deal almost exclusively with the reals (with a tiny nod here and there to complex numbers) and the presentation does not provide a unified coherent picture nor prepare one for more advanced mathematics. So if one wants to learn about the algebra in linear algebra, one needs to look elsewhere and Linear Algebra Done Right not only does it right but also makes it fun.The exposition is generally very clear (this does not mean one does not need to work a bit to understand the material!) and since it sticks to essentials, it moves along at a nice clip.What a breath of fresh air!Despite my lavish praise, I would not recommend this book as one's first or only book on linear algebra.But I recommend this book very highly to anyone who wants to appreciate the beauty of (actual) linear algebra or needs a stepping stone to more advanced books such as Roman's Advanced Linear Algebra (Graduate Texts in Mathematics) or books on linear functional analysis and Hilbert spaces such as Linear Functional Analysis (Springer Undergraduate Mathematics Series), Kreyszig Introductory Functional Analysis with Applications or Introduction to Spectral Theory in Hilbert Space (Dover Books on Mathematics).

Linear algebra done right
Hate this book. This is purely designed for graduate students but I am an undergrad. I found nothing relevant in this book and I am sure to dump it as soon as I am done with the class. By this book if you're ready for a headache.

GREAT BOOK
THIS BOOK IS REQUIRED FOR ONE OF MY LINEAR ALGEBRA COURSE. IT IS A SOFT COPY BUT IN GREAT PRINT. THE PAPER FEELS NICE. IT IS VERY CLEAR AND UNDERSTANDABLE FOR BOTH UNDERGRADS AND GRADS. IF YOU GO THROUGH THE WHOLE BOOK, YOU WOULD HAVE A SYSTEMATIC VIEW OF THIS SUBJECT. I WOULD RECOMMEND IT.

Great book for Applied Mathematics.
Did I just say that a book that has no examples of how to use a concept in applied situations is great for applied mathematics?

Yes. And I mean it.

I'm currently taking a graduate course in numerical analysis, which is about as applied as you can get. Here's how I read my textbook: I read through a section on say, the QR-algorithm for finding eigenvalues. After a long, brutal period of intense focus, I go"what did that just say?", and then I read it again. I think, "what in the hell's an invariant subspace? What's this weird projection operator doing, what's this . . ."

And then I remember how to make the pain stop: Pick up Sheldon Axler's book, and read the appropriate section in his book. Then go back to numerical analysis, and breeze right through the exposition of the algorithm.

Dr. Axler doesn't claim that his book is for applied mathematicians or engineers. He wants you to understand the structure of linear operators. But guess what? Applied mathematics exploits many-no, all-of the deep concepts relating to the structure of linear operators. So if you want to be a good applied mathematician, someday you're going to have learn linear operator theory. If Maple does all of the math you need for your job, then you won't need to learn linear operator theory. And so don't use this book. But realize that someday, you will hit a wall.

Now onto some specifics of the book:

Some have complained about the lack of use of determinants in this book. Think about a mathematical concept that you use over and over again, that you can use as an analogy to other things and helps you go about your day. For me, I understand these concepts down to the very core. Things I don't understand down to the core, I can't extend to novel situations. And if we can't extend a concept to a novel situation, why learn it? Certainly we can tell Maple to compute it if we really need. For me, the determinant is a conceptual dead end. Not once in my life has anyone been able to explain why det(AB) = det(A)det(B). And I doubt that the person who does know finds that the proof very enlightening. Similarly, why should the determinant have anything to do with how a matrix scales it's eigenvectors? No one knows! Ok, you say, but we do need to know if a matrix is invertible, and so we should teach people that the determinant can tell them that. Fair enough. I'll giveyour students a 100x100 matrix, and then I'll come back next year to find out whether or not it's singular. They'll say, well we got 10^-12. And I'll say, "does that mean all that matrices eigenvalues are 3/4,or one of them is zero and you just got round-off error?" They'll have a blank stare, and then I'll estimate the matrix's condition number in a few seconds and tell them the answer. So for engineers and applied mathematics, the determinant is truly useless. Dr. Axler is correct to scrap it.


Next:

Some have complained about the lack of solutions to the problems. This is false. There are many solved problems in this book. They just have the solution immediately after the statement of the problem. I find it baffling that if the author had just moved the proofs to the back of the book, and labeled the theorems "Problem", then this complaint would disappear. This is a math book, not a Charles Dickens novel. You read a Charles Dickens novel, you battle a math book. When you read the word "Theorem" in a math book, you try to prove it yourself. Then, after failing, you read the author's proof. I don't see how this is at all a controversial statement, but if people read math books like math books, then no one would complain about the lack of solved problems. The fact that Dr. Axler has to copyright the solutions (provided this is true, I don't know)is a sad testament to the fact that people don't want to battle math, they want to regurgitate it. They would rather sleuth the internet for 12 hours trying to find posted solutions rather than spend one hour thinking. I've done it myself. But once these solutions are available, and people know that sleuthing will prevent thinking, then your book has shot its wad.


This bookhas saved me countless hours. If I value my time at $10 per hour, then this book has already saved me well over $1000. The fact that it is only $30 is a steal. ... Read more

Product Description
This book offers the sound presentation of mathematics, useful pedagogy, clear and well-constructed writing style, superb problem-solving strategies, and other qualities that have made the Martin-Gay series so successful. Exceptionally interesting and practical real-world applications throughout the book capture readers' interest, while Martin-Gay's streamlined problem-solving process develops and hones their problem-solving skills.New features include Spotlight on Decision-Making applications, revised Chapter Projects, Real-World Chapter Openers, Vocabulary Review sections, video icons, and Study Skills sections.For readers interested in learning or revisiting essential skills in beginning and intermediate algebra through the use of lively and up-to-date applications. ... Read more

Customer Reviews (29)

Int Alg Textbook
Came fast, gratly packaged, and condition was just as expected! Very Satisfied with everything and the price!

Inter. Algebra
Book in great condition, however I didn't know about the code that I needed for my math lab.It was not in the book as it would be in a new book.I had to buy the code from college it cost me $75.00.So in conclusion I really didn't save any money at all.I would recommend buying a new book.

Great Algebra book!
This book is the bomb.I have been studying from it for a couple of months now preparing for a teacher's examination.I am self-studying only and have found this bood to be very user-friendly.There are a lot of sample problems and as well as practice problems.There are review problems from previous chapters in every section of practice problems.I also like that the order of the equations and problems are not necessarily in increasing difficulty order.An easy question/equation/prblem (whatever) are mixed in with the harder ones.There are also a lot of "real-world" kind of applications.So, if you are wanted a little more of a broader view of Algebra (besides just "how can I pass the test" material) I think this would be a good choice.

SUPER HAPPY
I ordered a used math book...(intermidiate algebra 5th edition) i got it for about 32 bucks...i was more then pleased when i recieved it...its liike brand new!!! literally...very satisfied.....

good seller
Great seller, minor writing on the book but other than that its in good conditions. Fast shipping. ... Read more

Product Description
From the first day your students begin to learn thevocabulary of algebra until the day they take final exams and standardizedtests, these programs strengthen student understanding and provide the tools studentsneed to succeed.

Customer Reviews (4)

disappointed
This item was advertised as text AND CD. It was only the CD. When you order item and attempt to get in contact with seller, there is no response. It wasn't flawed......I would be careful when ordering from them to get in contact FIRST. Once you've paid......no satifaction guareented.

Excellent Algebra II Text
I have taught and tutored math since 1989 and this is one one of the best Algebra II books out there. Clear examples, plenty of practice problems, presents a solid Algebra 2 curriculum, and has very few--if any--mistakes. I highly recommend it.

fit the need perfectly
good buy good shape wish the ISBN # was on it but it is the right book

Excellent condition, fast shipping
Thank you for the textbook received in a timely manner and in excellent condition . ... Read more

Product Description

Bob Blitzer’s unique background in mathematics and behavioral sciences, along with his commitment to teaching, inspired him to develop a precalculus series that gets readers engaged and keeps them engaged. Presenting the full scope of the mathematics is just the first step. Blitzer draws in the reader with vivid applications that use math to solve real-life problems. These applications help answer the question “When will I ever use this?” Readers stay engaged because the book helps them remain focused as they study. The three-step learning system–See It, Hear It, Try It–makes examples easy to follow, while frequent annotations offer the support and guidance of an instructor’s voice. Every page is interesting and relevant, ensuring that readers will actually use their textbook to achieve success!

Customer Reviews (10)

Rate the book not the shipping!
This is a fine book for students who want a stiff course in algebra.The book is challenging and holds no punches in its level of difficulty.However, the student who takes the time to do the problems and read some of the examples will have the algebra that they need for pre-calculus, trigonometry, or calculus.Rational expressions, logarithms, difficult factoring problems, quadratic equations, conic sections, difference quotients, and radicals equations are all present in this book.It is the lack of mastery of these concepts that hold students back in their calculus classes.Blitzer will call your bluff if you are lacking and get you up to speed.

To the other reviewers:Stop rating the shipping of this book!!!!This is just foolish.Rate the book!I am so sick and tired of erroneous rating on amazon!

Jason

Algebra
I got the product I wanted. It was delivered promptly and i was satisfied with the way the transaction was handled.Gonzalo.

college algebra book
The book is in great condition it shipped really fast and is exactly what i needed thank you

excellent condition and very speedy service
Received this book fist from the orders and it was in great condition. Will use them again and would recomment to other students and parents.

Amazing Bargain!
This book was exactly the one offered in the college bookstore and the CD was included. It was in great condition also. We saved a lot of money from buying it onAmazon! ... 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
This guide to using the Saxon Home Study Math and Physics programs has been designed to help homeschoolers using Saxon math 54-Calculus and Physics. ... Read more

Customer Reviews (8)

A Little Too Late!
Why wasn't Saxon Math around when I was young? I have used several levels of Saxon.All levels are great.Saxon takes the fear out of math by explaining the most complex information in an easy to understand manner.There is also constant review so that concepts go into long term memory rather than allowing the student to forget.

not-so-good
This algebra I book is currently being used in my daughter's 9th grade class.The book is very sturdy and will take alot of beating, so no problem with falling apart or anything.However, I give this book only two stars because it does a not-so-good job of explaining many concepts in "detail" for a beginning algebra student.There is indeed an answer key in the back of the book for odd numbered problems, but this answer key does NOT work the problem(s) out step-by-step so that students may see how the book's writer got the final correct answer. If one purchases this book, please make sure they have a good teacher who will explain in detail, because, unfortunately, the book does not go into detail as it should.I am currently looking for a substitute algebra I book that does a better job of explaining concepts.If it were not for the fact that our family has advanced degrees ourselves, so that we can explain the algebra concepts, I think my daughter might be needing a private tutor.I would recommend that folks pass this book and try something with good explanations and buy the ANSWER BOOK that goes with it.

Would purchase a similar item again.
Arrived on schedule and in great condition.With a solid math background, this item is helpful at homework time.We wish we'd have purchased a similar product in years past rather than an item that detailed each problem's solution in a step-by-step process!

Incomplete and probably not needed
WARNING - Saxon's Algebra is a great course but this is not 'it' - please read below.

This is NOT what it's known as the HOME STUDY KIT - made up of:

1 - The Algebra 1 student's textbook that includes the 120 lessons, the extra topics, index, glossary and an answer key to the odd-numbered problems.
2 - Test forms that include the 31 tests plus reproducible test answer sheets.
3 - Answers and tests solutions booklet that is just that. It only includes the answers not the ways to get there.

You only get #3 if you order this item, meaning that you will NOT be able to teach your students Algebra. Moreover, there is no value in purchasing this booklet as it is always included with the Home Study Kit and you will not need more than one, no matter how many students you have since this is for instructor's use, not student's.

I love Saxon and I've been using Saxon courses for many years with my children but you should look for the Home Study Kit or any other offer that includes the 3 items I listed above.

I am including my review of the Home Study Kit as a way to help those interested with purchases what is actually needed to successfully teach Algebra 1.

_____________________________________________

BRIEF EVALUATION OF THE COMPLETE STUDY KIT

Like previous courses in the Saxon's series, Algebra 1 is a most effective tool for teaching children math without intimidating them and without boring them. After more than 6 years of teaching my own kids math after school I can testify that it works. Both my kids are now in advanced math classes, their math grades always A's and, as I explain below, we just skipped Algebra 1/2 as not necessary.



ALGEBRA 1/2 vs. ALGEBRA 1

I found Algebra 1 to be the logical 'next' for my kids who successfully covered Saxon's Math 8/7 the year before. We decided to skip Algebra 1/2 because it was more or less a re-review of the material in 8/7, presumably to ensure a solid math foundation prior to moving into the more abstract 'true' algebra covered by this text.

I would suggest taking Algebra 1 ans skipping Algebra 1/2 if your students have mastered Math 8/7. Otherwise, go with Algebra 1.



THE SAXON METHOD

We've been using Saxon's books to teach our kids math starting with Math 3/2 and we've been very happy.

Algebra 1 is comprised of 120 lessons, 31 tests, one extra topic on real number, Glossary, Index and answers to the odd-numbered questions. Unlike the previous Math courses, there are no 'Investigations' and the lessons no longer begin with drills and warmup activities. Also, unlike prior math cycles up to Math 8/7, tests are administered after every four lesson rather than after every five.

Each lesson begins by explaining and illustrating a number of new topics - rarely one, usually two or three, sometimes more. That is followed by a small number of practice exercises that are related to the new topics. Finally, there is a 30-item problem set (what the prior volumes were calling 'mixed practice') that asks students to answer/solve 30 questions that 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.

After every 4 lessons there is a 20-question test.

The problem set 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 1 student's textbook that includes the 120 lessons, the extra topics, index, glossary and an answer key to the odd-numbered problems.
- Test forms that include the 31 tests plus reproducible test answer sheets.
- Answers and tests solutions booklet that is just that. It only includes the answers not the ways to get there.

If you are not comfortable with the topic, you MAY want to order the optional 'Solutions manual' and, perhaps the Teacher's manual. I have no experience with these items.



PRACTICAL ADVICE

You should be very careful on what you get in your order. The 3 items above are what is usually called 'The Home Study Kit'. This is sufficient for teaching math. Please be aware that you will not be able to teach math effectively unless you have all 3 times above. Before you actually place your order, you should contact the seller and make sure that this is what you get.

I found the DIVE into Math CD for Saxon Algebra 1, 3rd edition to be a very useful addition. In fact this is what I am using this year and both the kids and myself are happier for it. You may be able to find kits that sell the CD separately or as part of a bundle. 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 as many kits as you need for the students and only one CD for teaching.

saxon algebra 1
This product is so poorly conceived. There are not enough reinforcing problems so that students retain the algebra concepts and can test out of high school classes. We are almost halfway through the year and have not even started polynomial factoring, a basic concept in algebra 1. The book and answer key have numerous errors, enough to frustrate the teacher, who chose the new Saxon curriculum. ... Read more

Product Description

Key Message: The Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package.

Customer Reviews (12)

very fast shipment.
Product was as good or better than described. very fast shipment. just in time for school. thanks.

Fantastic!
Book arrived in exact condition as described, and less than a week after I ordered it.Excellent seller!

It's good to buy
I ordered this book and it came to me very early.
I'm very satisfied with its condition

Great condition and fast shipping.
This textbook was in great condition and shipping was fast so I got it in time for school.

Horrible book!
As someone who made an A in the first two developmental math courses, I would think that I could successfully complete this course. My other two classes were done online and I am attempting to take this one online as well. The book does not match up to the Course Compass problems and therefore I am failing. I will have to drop this course. Shame on the writers and publishers who made this piece of junk. If you want to fail your last developmental math course, take a class from a college that uses this book! ... Read more

Product Description
This brand-new review book offers high school students in New York State advance preparation for the all-new Regents Exam in Algebra 2/Trigonometry, which will be administered starting in 2010. Fourteen chapters review all exam topics and include practice exercises in each chapter. The book concludes with a sample Regents-style exam presenting problems similar to those that will appear on actual exams. Answers are provided for all questions. Topics covered in this book are: algebraic operations, functions and relations, types of functions, composition and inverses of functions, transformation of functions, imaginary and complex numbers, exponential and logarithmic functions, trigonometric functions, trigonometric graphs, trigonometric identities and equations, applications of trigonometry, probability and statistics, regression, and sequences and series. ... Read more

Customer Reviews (2)

Teacher's review
This is an excellent review of the materials covered.The explanations are succinct and lucid.The selection of problems was quite good both for variety and for level of difficulty.I am still looking it over, but have been impressed so far.

The best review book.
There are only a few mistakes.It is the best review for the NY State Regents exam there is available. ... Read more

Product Description
The Student’s Solutions Manual provides comprehensive, worked-out solutions to the odd-numbered exercises in the Practice Exercise sets; the Problem Recognition Exercises, the end-of-chapter Review Exercises, Answers to the odd-and even-numbered entries to the Chapter Opener Puzzles are also provided. ... Read more

Customer Reviews (15)

very good
I got my book in a short about of.time the book was in really good condition except for the tear but the book was really well priced the cheapest I could find.

great seller, A+
item arrived before expected and in in mint condition, would definitely buy from again and would recommend to anyone

NEVER SHIPPED
This seller has not contacted me back. I have emailed three times and have not heard a thing. Seller has also not shipped my item at all. DO NOT BUY FROM THIS SELLER!!!!

Not Shipped
My book was to be sent out by aug 9 or 10 and was not. It was to arrive to me by the 18th at the latest and I never recived my book. This book is for college and due to this seller I may not have my book in time for class. I sent 2 e-mails to seller and I never recived a responce. DO NOT BUY from this sell if you actually want to get the book you paid for.

Awesome
I received the book in three business days and the book was just as described. Brand new and the cd was included! I saved $100.00 by purchasing through Amazon! ... Read more

Product Description
This brand-new addition to Barron??s ??redbook?? series of Regents manuals prepares New York State high school students for the new Integrated Algebra exam, which will be administered for the first time in June 2008. The book reviews all pertinent math topics, including sets, algebraic language, linear equations and formulas, ratios, rates and proportions, polynomials and factoring, rational expressions and factoring, radicals and right triangles, area and volume, quadratic and exponential functions, and much more. Also included in the book are two sample exams with answers. ... Read more

Customer Reviews (5)

exceptional speedy delivery
Kudos to dominion_books who delivered a used textbook in very good condition in 3 days!

Paperback version
Please be aware all who are buying this book.The paperback version they give here on amazon is not the actual textbook.It is an All-In-One student workbook.If you are looking to get the actual textbook the only option is the hardback version.Amazon did not label that the paperback was different from the textbook, they call both books the exact same thing.They should have included in the title that it was a workbook.

Worthless piece of garbage
Whoever chose this book as a book for 10th graders to learn Algebra 2, should be thrown out as a high school math coordinator. It's the worst piece of garbage I have ever tried to use to explain the subject to my totally disheartened daughter. What's wrong with people that they can't teach and they can't write a decent book to explain these concepts to kids who are total novices? I just don't get it. If it can't be explained and taught and understood then it's not worth knowing, as far as I'm concerned. Not every person will be the next Einstein. Teach my kid something that will be useful in her adult life- this stuff is not it.

Thank You.
We received this book sooner than predicted and it was in the condition that was described.Thank You.

Great math program
This is our first year homeschooling, and we had trouble finding a math program that really works. Then we tried this math book, and this is exactly what we need. It has real life links, and great special projects to work on. This math program also has a great accompanying web-site, where my son finds an on-line tutor, and can do all the corresponding tests. ... Read more