Book Description
Everything in Mrs. Jewls's class has gone topsy-turvy...again.The report cards are scrambled, the pop quiz won't pop, and watermelons are falling out the windows.On top of all that, the boys are upset because Allison has announced that only two of them will be invited to her birthday party, since if more than two boys come, they'll all start acting silly.You never know how things will add up at Wayside School. ... Read more

Customer Reviews (9)

An excellent supplemental math text for late elementary school
In my life as a mathematics educator at the college level, I have used alphametics to teach the fundamentals of arithmetic and have touted the value of doing that at professional conferences. Therefore, I was gratified to see alphametics used in this book to teach algebra to students in late elementary school.
An alphametic is an algebra problem where a few words make up a phrase and each letter represents a digit. When the letters are replaced by the digits, the result is a correct arithmetic problem. For example the first problem in this book is

boys
+boys
------
silly

Where the solution is

6721
6721
------
13442

The first 39 problems are alphametics and the rest are word problems where the solution is derived via logic. There is a section of hints to the problems and complete solutions are included. This is an excellent supplemental math text for students in late elementary school.

Kids and parents laugh
We read the Wayside School books together and the kids and parents all laugh.These stories are funny, silly, goofy, and enjoyable.We love them all.We only wish there were more as we have read them all.Recommended for those reluctant readers (and listeners) as well.

Great for challenge seekers
This book is amazing. It entertains my kids with its funny and hard math questions. My son spent some time to solve them and we did some of them together. It is a nice book to read and it makes you think as well.

Great Book for a Math/Logic Wiz
I had this book when I was in fifth grade, and I absolutely loved it.I was already a big fan of the Wayside books, and I also liked math so these books were the perfect combination for me.I even remember working through the entire book multiple times.I especially loved the early problems wtih the convertion of basic math equations with letters to numbers like BOYS + BOYS = GIRLS and stuff like that.Now I am a physics major in college so I guess I came out pretty well.This book (and the first as well) is highly recommended for any kid who likes the Wayside books and also enjoys math/logic puzzles.Who knows, maybe this kid will be working with Schrodinger's equation in several years.

Lots of fun!
I love incorporating words with math!It makes it fun and interesting.I am not big on math (nor am I very good at it), but when you incorporate language, it makes it fun.I really found this enjoyable!You do neet time, paper, and a darn good eraser, but this was a blast!It has the same kind of stories as the other Wayside books, but it incorporates math problems to go with it.(BOYS + GIRLS = SILLY)And it's your job to figure out number substitutes for the letters.It's a lot of fun to do, and improves math skills and language skills.It's a blast!
It's harder than the first one, be warned!But it's also more fun and entertaining.I always used it as like a rainy day project, and I plan to do the same with my daughter. ... Read more

Book Description
LitPlans are manuals full of materials for teaching specific novels and plays. Each LitPlan is written to go with a particular book title and contains study questions, quizzes, writing assignments, discussion questions, unit tests, vocabulary worksheets, daily lesson plans, group and individual assignments and activities, worksheets, games, puzzles, bulletin board ideas, written objectives for the guide and each lesson, and more. The lessons can be used as planned or teachers may use the materials provided in other ways. Number of pages in the LitPlans varies depending on the length and complexity of the book being taught, but ranges from 100-250 pages. ... Read more

Customer Reviews (1)

A Difficult Topic Made Easy
When I read the novel, The Devil's Arithmetic, by Jane Yolen, I was moved.I thought and thought about what approach I wanted to take when I introduced it to my 8th grade students.This teacher "tool" simplified my fears and made teaching the novel much easier and more significant to my students.The step by step guide is excellent forbeginner teachers as well as those who have taught the novel before.It gives insight to the Holocaust and examples of bringing difficult situations to a middle school level.I would recommend it to any language arts or history teacher who wishes to use this novel in the classroom and be successful in doing it. ... Read more

Book Description
...explains the fundamental principles of algorithms available forperforming arithmetic operations on digital computers...includes sectionson floating-point adders, and exceptions etc. ... Read more

Customer Reviews (5)

Amazing collection of ideas but terse in explanation
On a first reading, this book looked horrible. Little explanation is given. Well, the author gives you just a clue for you to do a lot of brainstorming to understand the concepts. While this helps to put you right in the mood for the material, since most of it are highly intellectual, but I think some more explanation and insight would have helped anyway. And actually it would have helped a lot. Instead of relying on each reader's understanding, giving more clues and more explanation means more insight for the reader and more getting the big picture. The big picture here is so important since many of the concepts in this book are highly interrelated.
On a second reading, this book was a very good reference. A good collection of well made, highly intellectual algorithms.
I recommend this book for every computer arithmetic enthusiast, but I suggest it to be read sequentially, and be prepared to a lot of brain storming.

Probably one of best arithmetic books
This book is a fantastic book on digital computer arithmetic that covers the basic algorithms.It covers basic addition, subtraction, multiplication, and division in an easy-to-follow manner.A must-have for those concentrating on digital computer arithmetic.

Note:the reviewer who noted that this book doesn't cover Brent-Kung is wrong.It covers things the way it should!

It is a horrible textbook
I am a graduate student. This book is a first horrible textbook I have had. It is very difficult to grasp the basic concepts from the book. And the content jumps all over the place. The author seems to have the ability to make simple things complicated.

Brilliant book for Brilliant minds !
There are very few books in market that are as packed in content. I like the author's lucid style of emphasizing his points while still maintaining the rigor of the subject. Digital hardware engineers have used and willcontinue using this book for sound design practices and optimized designs.

Up-to-date Computer Arithmetic reference text
As stated in the authors' introduction, this book derives from a series of lectures, and as such the subject area is developed in a clear and linear fashion.A number of number systems are covered in the text as well as a good treatment of the usual topics such as addition and multiplication as well as other algorithms such as division, square-root and logarithmic number systems which are not so well covered in other texts (Hwang).I would rate the book as being good rather than excellent for the following reasons:- Overall the book is a little too compact and my copy has a PAPER cover ... not what I would expect for a reference.- The amateur finish lets down a good performance in terms of content- Addition section short ... does not cover BLCor Brent-Kung adders- Multiplication section and others very "thin" on references. ... Read more

Product Description
Contains the answers fpr the tests and speed drills and a suggested scale for each test. ... Read more

Book Description

Customer Reviews (1)

Memory jogging review
Have you ever blanked out when someone asked you a simple arithmetic question?Yeah, you know what I'm talking about.

This book is aimed at adults who have forgotten much of the basic arithmetic taught in school.It starts with the basics: addition, subtraction, multiplication and division, and then ranges over a variety of topics (business and financial calculations, percentages, charts, angle measurements, logarithms, mixtures and solutions, averages, etc.).

It contains over 800 problems, easy-to-follow questions and answers in a question and answer style.

If you are returning to school, or have school aged children (and need to help with homework) this book can help to jog your memory. ... Read more

Book Description
This volume represents the first philosophically sound discussion of the concept of number in Western civilization. (Mathematics) ... Read more

Customer Reviews (5)

The first escape from the Elencus...
You know how _frustrating_ it is, reading a platonic dialog? Some question like "What is virtue?" or "What is justice" is asked, and Socretes goes on for pages showing that the so-called "experts" don't have a clue about what it really is?

But what's _really_ frustrating is that you're all expecting, at the end of the dialog, after following a hard line of argument, that you'll be rewarded with THE definitivie definition of 'virtue' or 'justice' or whatever--only to be disapointed.All you get in the end is a new appreciation of your own hopeless ignorance...

...well, imagine a platonic dialog which started the same as any other platonic dialog, but with the question "What is a number?"Only this time, at the end of the dialog, you actually get an answer to the question?

In retrospect, its pretty amazing that Plato didn't write a Socratic dialog concerned with the question "What is number?'After all, Plato considered numbers more real than physical objects, and people like the Pythagorians were going around claiming that everything _was_ made out of numbers.But what the heck _is_ a number, anyways?

Perhaps the reason was that everybody thought they already understood what numbers were.But Frege, like Socretes before him, realized that this so-called knowledge was really just a collective ignorance.So Frege starts out this book with a thorough, merciless review of what his coleages and predicessors were saying about what numbers were, showing that they ranged from cocksure to confused, from pompously-wrongheaded to just plain silly.

But then Frege does something really amazing--for the first time in history, he goes on give a real answer to the question "what are numbers?"Building on the work of Hume, he gives a sustained argument now known as "Frege's theorem" which shows how numbers can be grounded on an understanding of one-to-one correspondence.

Unfortunately, this work had to wait almost a century for the rest of us to really catch up to its significance.Russell found a contradiction in the arguments presented here, and for the next 80 years attention shifted elsewhere.But first Charles Parsons, in 1964, and then Crispen Wright and others in the 80's and 90's begain to realize that Frege's theorem could be reconstructed without the paradox.This sparked a whole flurry of neo-Fregean studies which is one of the most active branches of analytic philosophy today.

This revival means that Frege's importance, and the importance of reading and comming to grips with the arguments presented by Frege in this book, are going to continue to grow.Although tragically Frege didn't live to see the day, we now realize that the line of reasoning he followed in this book was one of those signature moments in human history, every bit as profound as the invention of the wheel or the discovery of the pythagorian theorem--it was the moment where, for the first time ever, the question "what the heck _are_ numbers, anyways?" got a real answer.

Frege, You're Not Supposed To Have...
*The Foundations of Arithmetic*, one of the most durable works of philosophy of mathematics ever produced, is something of a curiosity as presented by J.L. Austin (who translated the work for the use of an Oxford undergraduate course); and perhaps Frege's platonism got the best of Austin, and this work is really just as , well, Kantian as it appears, "a good sight" more Kantian than "standard" Frege is typically allowed to be.Frege's definition of number in terms of equipollence (one-one correspondence of sets) is legendary: that is to say, it is traditionally understood to do a great deal more work than the "thin" version allowed by mathematical logic as reconstructed to avoid Russell's paradox.

But here Frege's work-up of the concept for a general readership is so "genteel" as to suggest that this may not in fact be the case, and that Frege actually partook more heavily of Neo-Kantian bromides than his *theory of arithmetic* suggests; to wit, that this theory was always intended to be situated within a general philosophy of mathematics obeying the strictures of reasoning involving Kantian "intuition" (as is typically said of Frege's last efforts in the field).As such, it would be unfortunate that we cannot effectively read this book (formerly available *en face*, and unfortunately much the worse for the original's omission) in conjunction with its contemporary geometrical counterpart: long out of print, rarely making its way into the philosophical Frege literature, and perhaps in all parts an *anticipatory* if "crochety" rebuke to Hilbertian formalism.

Perhaps Frege was to a certain extent wholly other than the mathematics of his time; perhaps we are not well-served by a Frege "out of time"; we certainly have one of the great prose stylists of English on hand here, and perhaps it would actually do to consider his aptitude for "gold" extraction here as a clue to puzzling out the rest of Frege -- a figure supremely unconcerned with sameness of meaning, and already owing a certain debt to those para-philosophical figures all his work is at cross-purposes with (the German '70s having been quite a time indeed).A great help to understanding number theory, a marvelous thing for a library to have.

Excellent work
His conclusion (p.99e) is that the laws of arithmetic are analytic judgements and consequently a priori.

Note that he is very consistently hard on Mill.

Some interesting quotes: p. 115e #106. "...number is neither a collection of things nor a property of such, yet at the same time is not a subjective product of mental processes either, we concluded that a statement of number asserts something objective of a concept.

... (p. 116e) We next laid down the fundamental principle that we must never try to define the meaning of a word in isolation, but only as it is used in the context of a proposition: only by adhering to this can we, as I believe, avoid a physical view of it.

#107. (p.117e) "A recognition statement must always have a sense."

greatwork
possibly one of the greatest works in history of philosophy and the founding book of 20th century analytic philosophy... I read it only once and a better appraisal will be coming shortly..I can say right away this is not simply a 'technical' work in philosophy of mathematics but a broad although short philosophical investigation in notions of truth, meaning and identity - although it expressly deals with defining numbers in purely logical terms. continental philosophers who read this work might change some of their negative ideas about where analytic philosophy is coming from.

A Must for Any Philosopher of Mathematics
This book written by Gottlob Frege is one of the most influential books of the 20th century philosophy of mathematics.In here Frege establishes the nature of arithmetics as founded in logic, which is his logicist proposal.For that, he refutes the assertion that logic as such is founded on psychology.

Sometimes he distorts a little bit what others say about logic, so he argues against those thinkers more effectively.In here he establishes the anti-psycology difference between concept and object; though he has not made a difference yet between sense and reference.He also refers to a principle called the contextual principle, in which the word makes reference to something depending on the context.Afterwards after he wrote the book, he would reject this principle, because of his doctrine of sense and reference:the sense of the words determine the sense of the sentence; and the reference of the words determine the reference of the sentence.

This is a great philosophical work, and I would suggest it to anyone who is starting to study Analytic philosophy (philosophy of mathematics, logic and language), and also those who want to consider the platonist proposal. ... Read more

Product Description
Part of the Third Grade Home School Kit ~ A Beka Book Christian Curriculum. ... Read more

Book Description
Updated in a seventh edition, The Higher Arithmetic introduces concepts and theorems in a way that does not require the reader to have an in-depth knowledge of the theory of numbers, and also touches on matters of deep mathematical significance. This new edition includes state of the art material on the use of computers in number theory, as well as taking full account of the proving of Fermat's last theorem. ... Read more

Customer Reviews (2)

Good book, but if you have the money, there are better
Well, this is definitely a very good introduction to number theory.The author provides clear, readable proofs of all the most basic theorems on topics such as congruences, sums of squares, etc.He explains things quite well.However, despite costing almost 2.5 times as much, I would recommend Hardy and Wright's book An Introduction to the Theory of Numbers more highly than Davenport's book.Seriously, although it may seem good that Davenport doesn't require a knowledge of calculus as a prerequisite for his book (which Hardy DOES require), one probably shouldn't learn number theory until one has a good backrground on topics ranging from improper integrals to infinite series.Because Davenport does not require calculus as a prerequisite, he neglects HUGE aspects of what could actually be considered BASIC number theory: namely, the basic analytic aspects (such as Tchebycheff's results on the Prime Number Theorem) and the additive theory (i.e. partitions and such, as well as the basics of the generalized theory surrounding Waring's problem for high powers of integers).So, my recommendation is, wait until you know integral calculus and the theory of infinite series BEFORE buying a book on number theory, and then buy Hardy and Wright's book rather than this one.

This is a MUST BUY if you want to learn Number Theory!
This book is an AMAZING introduction to the Theory of Numbers. It assumes no previous exposure to the subject, or any technical mathematical knowledge for that matter. Its prose is lucid and the style appealing.Davenport chose NOT to write a lemma-theorem-proof kind of book, and theresult is a marvelous, eminently readable introduction to the subject. Itswonderful to read a book where good prose is used to appropiatelysubstitute a massive collection of uninviting symbols. I've also beenreading other books on Number Theory, such as Hardy & Wright, but noneare as clear as this one.

I found the chapter on quadratic residues(which includes the reciprocity law) to be especially well written. Thesection on computers and number theory is excelent as well. A concise andcoherent discussion of crytography and the RSA system is included here.The organization of the book's chapters is fantastic. Each chapter buildsup on results proven in the previous ones, showing well the connectionsbetween the different aspects of Number Theory. The exercises of the bookrange from simple to challenging, but are all accesible to someone willingto put effort into them.

This would be an excelent source for learningnumber theory for mathematical competition purposes, such as the ASHME,AIME, USAMO, and even for the International Mathematical Olympiad. The bookcontains much more than what is needed for these competitions, but theolympiad/contest reader will benefit greatly from a study of Davenport'swork.

The book can certainly be used for an undergraduate course inNumber Theory, though it might need supplementary materials, to cover asemester's worth of work. I know the book has been used in the past inprevious editions as the main text for Math 124: Number Theory at HarvardUniversity.

I would also recommend this book to anyone interested inacquanting themselves with Number Theory.

Awesome!There is simply noother word that describes The Higher Arithmetic. ... Read more

Product Description
Modular forms appear in many ways in number theory. They play a central role in the theory of quadratic forms, in particular, as generating functions for the number of representations of integers by positive definite quadratic forms. They are also key players in the recent spectacular proof of Fermat's Last Theorem. Modular forms are at the center of an immense amount of current research activity. Also detailed in this volume are other roles that modular forms and $q$-series play in number theory, such as applications and connections to basic hypergeometric functions, Gaussian hypergeometric functions, super-congruences, Weierstrass points on modular curves, singular moduli, class numbers, $L$-values, and elliptic curves.The first three chapters provide some basic facts and results on modular forms, which set the stage for the advanced areas that are treated in the remainder of the book. Ono gives ample motivation on topics where modular forms play a role. Rather than cataloging all of the known results, he highlights those that give their flavor. At the end of most chapters, he gives open problems and questions.The book is an excellent resource for advanced graduate students and researchers interested in number theory. ... Read more

Book Description

Customer Reviews (6)

For those that have the need.
If you have a need to add, subtract, etc. many numbers quickly without the aid of electronic devices: this book will help you.It also might be of interest to mathematics teachers.Otherwise, don't bother: your $4 calculator from the grocery store will do just fine.

it sucks!!!!sorry!!! buy BILL HANDLEY'S FULL COURSE IN SPEED MATHEMATICS
I personally find the review very apalling,the good fact of this book is there are lots of drills.I recommend BILL HANDLEY'S full course in speed mathematics for a very simplified straightfowrad approach.THIS book doesn't really teach you a art of calculation,but continuos drills of different calculations.Horrible book don't buy it only if you like to practice continuous drills.garbage!!!!

Rote, rote, rote
Being fairly proficient in "mental math", I picked up this book to see if there were any useful techniques for calculating. I was very disappointed.

The author's approach seems to rely primarily on rote memorization and optimizing pencil & paper methods. This is fine if you have pencil & paper handy, but cumbersome if you want to "run a rapid mental check..." as they suggest in their book. Rather than provide new techniques that work for mental computation, the reader is asked to perform endless drills to allow you to mentally perform pen & paper methods.

Another problem is the reliance on memorizing special cases instead of focusing on general-use techniques. If it takes a person 10 seconds to determine which of the dozens of special cases applies to a particular problem, then he does not know "how to calculate quickly"

For example, one of the author's special cases, "Multiplying a Sum by a Difference," actually has a very broad use for multiplying any two integers, but it is presented only briefly as a very narrow application that you will likely never stumble across in real life (e.g. multiplying two integers whose units add to 10 and the tens have a difference of 1)

Overall, the heavy reliance on rote vs. technique makes this an unsatisfying work.

EXCELLENT BOOK TO IMPROVE MENTAL CALCULATION
I gave it a five star simply because the books is simple and veryeffective at getting you to learn the "art" of quickcalculation.

I looked at all the others in that field. Most of them teachyou tricks for quick calculation. To do certain calculation you need toremember the tricks. There are dozen of them and you just get confused.This book do not used trick but teach you "number sense" ... andhow to calculate from left to right with complex number. Beleive me, I wasaffraid of that kind of calculation and with that book I learned a lot!

Iused it because I am preparing for interviews in management consulting.Case study need you to do lots of quick mental calculation. I am very goodwith complex calculation but mental arithmetics is something else.

BUYTHIS BOOK ... very slim, but as said before, lots lots of exercise wellmade and improving in difficulty ... cant say more, its the book I waslooking for.

Amusing, it was first published in 1945 ...

I have kept my copy for years
and keep going back to it. It is important that a prospective buyer knows this book focuses on MENTAL arithmetic, i.e., no paper. If that is an interest of yours, then this is your book. If you are interested in"shortcuts", there are other books out there (though the lastchapter of this book contains some of the more popular ones.) Don't thinkyou can multiply two two-digit numbers in your head? you may be surprised. ... Read more

Book Description
Arithmetic and Logic in Computer Systems provides a useful guide to a fundamental subject of computer science and engineering. Algorithms for performing operations like addition, subtraction, multiplication, and division in digital computer systems are presented, with the goal of explaining the concepts behind the algorithms, rather than addressing any direct applications. Alternative methods are examined, and explanations are supplied of the fundamental materials and reasoning behind theories and examples.
No other current books deal with this subject, and the author is a leading authority in the field of computer arithmetic. The text introduces the Conventional Radix Number System and the Signed-Digit Number System, as well as Residue Number System and Logarithmic Number System. This book serves as an essential, up-to-date guide for students of electrical engineering and computer and mathematical sciences, as well as practicing engineers and computer scientists involved in the design, application, and development of computer arithmetic units.Download Description
Arithmetic and Logic in Computer Systems provides a useful guide to a fundamental subject of computer science and engineering. Algorithms for performing operations like addition, subtraction, multiplication, and division in digital computer systems are presented, with the goal of explaining the concepts behind the algorithms, rather than addressing any direct applications. Alternative methods are examined, and explanations are supplied of the fundamental materials and reasoning behind theories and examples.
No other current books deal with this subject, and the author is a leading authority in the field of computer arithmetic. The text introduces the Conventional Radix Number System and the Signed-Digit Number System, as well as Residue Number System and Logarithmic Number System. This book serves as an essential, up-to-date guide for students of electrical engineering and computer and mathematical sciences, as well as practicing engineers and computer scientists involved in the design, application, and development of computer arithmetic units. ... Read more

Book Description
...shows you how children learn, do & understand basic mathematics,especially arithmetic. Also, it demonstrates how you can use suchknowledge to improve mathematics education... ... Read more

Customer Reviews (1)

Outstanding book on children and arithmetic
One of the most impressive books on the development of young children's number and arithmetic. Important and inspiring for teachers and researchers alike. ... Read more