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Elementary Number Theory: Second Edition Paperback – Sep 25 2008


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Product Details

  • Paperback: 272 pages
  • Publisher: Dover Publications; Second Edition edition (Sept. 25 2008)
  • Language: English
  • ISBN-10: 048646931X
  • ISBN-13: 978-0486469317
  • Product Dimensions: 1.9 x 14 x 21.6 cm
  • Shipping Weight: 295 g
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Bestsellers Rank: #119,844 in Books (See Top 100 in Books)
  • See Complete Table of Contents

Product Description

About the Author

Underwood Dudley is Professor Emeritus of Mathematics at DePauw University.

Underwood Dudley: Cranking Out Classics
Any editor involved with publishing in mathematics for any length of time is familiar with the phenomena — the receipt, usually via snail mail, of generally handwritten, and generally interminable, really, really interminable, theses on some bizarre and unprovable point — theses hoping, trying against all hope, demanding in fact, to prove the unprovable, to rewrite some fundamental part of mathematics, often in my experience to demonstrate for one final time that, for example, Einstein didn't know what he was talking about — in short, the work of a mathematical crank!

Underwood Dudley (Woody to everyone in the math world), Professor Emeritus, Depauw University, provided an inestimable service to all math editors in the universe by demonstrating that they are not alone in their experience. His unique and wonderful book Mathematical Cranks (The Mathematics Association of America, 1992) is a readable feast, especially for those who have been on the receiving end of mathematical crank mail. We're all in Woody's debt for having assembled this collection of failed squared circles, angle trisections, and much, much more.

However, chronicling the cranks — as enjoyable as it may have been to the rest of us — is hardly a career, Woody has written many other books as well. And any reader who wants to check out a totally uncranky, reader- and student-friendly, time-tested basic text in Elementary Number Theory could hardly do better than to look at the Dover edition of Woody's book by that name, which started its career with Freeman in 1969 and which Dover was pleased to reprint in 2008.


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0 of 1 people found the following review helpful By another reader on April 11 2004
Format: Hardcover
Some of the problems in this book are unlike any I've seen before, like Dudley gives a bunch of equations, you're supposed to see the pattern & he writes "guess & prove a theorem". Dudley's writing style is very informal & I thought it was a nice change from other books. Like the other person said, the book is clearly written and there are lots of examples. I had this book for a 3rd-year course, but I think a 1st or 2nd-year student could handle this book.
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0 of 1 people found the following review helpful By Yuan J. Son on Feb. 13 2003
Format: Hardcover
This is the excellent book if you want to study the
number theory but don't know where to start.
The explanations are sound and CLEAR. A lot of problems
are actually solved by an author and many answers to
the exercises are given at the end of book.
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Most Helpful Customer Reviews on Amazon.com (beta)

Amazon.com: 19 reviews
33 of 33 people found the following review helpful
It is a book that has aged very well Aug. 10 2005
By Charles Ashbacher - Published on Amazon.com
Format: Hardcover
Published in 1978, this book suffers very little from the illness of being dated. Of course, Fermat's last theorem has been proven and computers have grown much more powerful. However, those advances have little affect on the value of the book. Done well, basic number theory is timeless, and Dudley does it very well. The explanations of the fundamentals are sound and solved exercises are scattered throughout. Solutions to most of the odd numbered problems at the end of the chapters are also included.

The coverage is fairly typical, so the book can still be used as the text for a course in beginning number theory. Chapter 23 contains a set of 267 additional problems, a set for each of the other chapters in the book. Solutions to most of the odd problems in this set are also included. I commend Dudley for including so many solutions; I have little time for authors of books who do not provide solutions to at least some of the exercises. If I ever teach a course in basic number theory, this is the book that I would use.
32 of 34 people found the following review helpful
A lot of examples and proofs! Perfect book for a beginner. Feb. 13 2003
By Yuan J. Son - Published on Amazon.com
Format: Hardcover
This is the excellent book if you want to study the
number theory but don't know where to start.
The explanations are sound and CLEAR. A lot of problems
are actually solved by an author and many answers to
the exercises are given at the end of book.
20 of 21 people found the following review helpful
great problems April 11 2004
By another reader - Published on Amazon.com
Format: Hardcover
Some of the problems in this book are unlike any I've seen before, like Dudley gives a bunch of equations, you're supposed to see the pattern & he writes "guess & prove a theorem". Dudley's writing style is very informal & I thought it was a nice change from other books. Like the other person said, the book is clearly written and there are lots of examples. I had this book for a 3rd-year course, but I think a 1st or 2nd-year student could handle this book.
15 of 16 people found the following review helpful
Undergrad math and phys major review June 4 2010
By Bill Nye - Published on Amazon.com
Format: Hardcover Verified Purchase
I picked up this book after taking a course in set theory/math logic. It was my first experience with proof based math and I found it very challenging and rewarding. I decided over the summer I would teach myself number theory as well. So far I am about 3 or 4 weeks into the summer and I've chopped down sections 1-6. Keep in mind I am also doing undergrad physics research and a directed study astrophysics course as well, you could easily progress further. I really have enjoyed this book thus far. I often get so caught up in it that I am up until morning toying with problems. The author did a fantastic job of finding the fine line between too difficult and elementary. It seems just short of a graduate text but a little above a common undergraduate text. Thanks to this text I am becoming much more confident in my ability to set up and execute proofs. I don't want to spoil the methods- but it seems MOSTLY up until this point all proofs are found in the same manner. I have not been able to execute a variety of proof methods (e.g. deduction, mathematical induction, contrapositive, and contradiction.) I would have liked to be able to switch it up some. However, I am no expert and this may be my own doing.
If that is the best "CON" I can come up with for this book, that says a lot. I HIGHLY recommend ANY student who enjoys thinking to pick up this book and complete it in it's entirety. I feel deprived that I wasn't given this opportunity sooner.

I am a 3rd year math+physics major. This book changed me from physics and chemistry to math and physics student and possibly from a physics grad student to a math grad.
12 of 12 people found the following review helpful
Good overview to basic number theory Aug. 20 2009
By J. A. Bradley - Published on Amazon.com
Format: Paperback
This is a great book for the mathematically-interested layman, non-math-major undergraduate, and people in other fields (such as computer science) who want a fairly quick read on the basics of this fascinating field. It would also serve well as a a precursor/warmup for more advanced treatments of the subject.


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