Elementary Number Theory | 
 enlarge | Author: David Burton
Publisher: McGraw-Hill Science/Engineering/Math
Category: Book
Buy New: $116.40
New (18) Used (10) from $97.11
Rating:  10 reviews
Sales Rank: 43742
Media: Hardcover
Edition: 6
Pages: 448
Number Of Items: 1
Shipping Weight (lbs): 1.6
Dimensions (in): 9.3 x 6 x 0.9
ISBN: 0073051888
Dewey Decimal Number: 512.7
EAN: 9780073051888
Publication Date: September 27, 2005
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Product Description
Elementary Number Theory, Sixth Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton�s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history..
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| Customer Reviews: Read 5 more reviews...
 Elementary Number Theory by David. M. Burton April 5, 2000
Pantelis Damianou (University of Cyprus, Nicosia)
14 out of 15 found this review helpful
This is an excellent textbook for an introductory course in Number Theory. I have used it a number of times for my own courses and I believe it is the most popular book for elementary Number theory courses in the United States. It covers all the standard topics in Number Theory including congruences, properties of prime numbers and their distribution, the theorems of Fermat and Wilson, quadratic residues, quadratic reciprocity, perfect numbers, pythagorian triples, representation of integers as sums of squares and a chapter on continued fractions and Pell's equation. The book includes historical notes, useful tables and a great number of interesting exercises. I recommend this book for begginers in Number Theory but I believe that even the advanced reader may find something interesting.
Rigorous and not too hard January 22, 2008
Charles Bradley (Acton , MA USA)
2 out of 2 found this review helpful
This is a textbook about Elementary Number Theory, where "elementary" does not
mean "simple" or "beginning", but rather those portions of the mathematics of
integers that do not rely on analysis (infinitesmal calculus).
Number theory allows many different orderings of topics, without omitting
proofs. I found Burton's order to be easy to follow. Many results in number
theory follow easily from results in abstract algebra or linear algebra.
The author does not depend on results beyond elementary algebra, but some
degree of mathematical maturity is required. Readers with a math degree will
still have to work to absorb the material.
There are many problems. Those with numerical answers are answered in the back
of the book. About half of the others are answered in an answer guide,
available separately. Almost everything is proved. I only recall two cases
of "left to the reader" except for the problems, of course. None of the
problems are used for future developments in the main text.
The author has a separate text about the history of mathematics. Most of the
chapters in this book start with a section about the history of the material
in the chapter and about the people that developed it. This is interesting
extra material, or padding that makes the book even more expensive than it
should be, depending on you.
This is the 6th edition. The only error I encountered was a consistent misspelling
of one name in chapter 10. I could not find any reported errors on the WWW.
I've used several other number theory books over the years. This one seems the best
for me. Perhaps that is due to Burton's skill, or perhaps it is because I finally
worked through one from front to back, instead of searching for the information
I needed just then.
Fantastic introductory text! December 4, 2000
I'm a first-year Ph.D. student, taking a graduate-level number theory course, and I still use this book from my undergrad years as a reference. Just about any basic number theory topic you're looking for is in here. I can't recommend it highly enough!
as a start.. perfect January 16, 2006
atwi_confidence
0 out of 2 found this review helpful
I bought this book to study number theory on my own. (but let me say I had great knowledge about the material b4 I got into it). I studied the first three chapters on my own, and it was great experience, but then I had to stop cuz I did not have any free time to continue. From the first three chapters, I rank this book 5 stars!
This book is awesome, written very rigorously!! Its the right way to write any book in mathematics, and I love it.
Excellent September 29, 2000
3 out of 12 found this review helpful
This book is the best introduction to number theory that I have found. I only have single maths A Level, but found this book extremely easy to get into. It starts out with gcd lcm stuff, then introduces modular arithmetic and chinese remainder theorem; it does some other things as well (I forget), and then goes on to fermat's little theorem and wilson's theorem...then does lots of other things like 'arithmetic functions' and continued fractions, quadratic residues...which I haven't got to yet. Certainly, it doesn't look as though it's going t get any more difficult in this book, and the excersises are realistic (if a little too simple) Anyone who cannot work through this book should not be studying maths. The book surely covers most first year degree courses. I should also say that there are about 14 chpters in the book, even though I have only described the first 7 or so; the book also gives a history of maths, with short passages about famous mathmos like Gauss, Euclid, diaphantus. About 300 pages in total, loads of examples, plenty of spaces for rough working (big margins). What more can I say? Buy it.
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