Fundamentals of Number Theory |  | Author: William J. LeVeque
Publisher: Dover Publications
Category: Book
List Price: $14.95
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Rating:  6 reviews
Sales Rank: 349520
Media: Paperback
Pages: 288
Number Of Items: 1
Shipping Weight (lbs): 0.6
Dimensions (in): 8 x 5.6 x 0.6
ISBN: 0486689069
Dewey Decimal Number: 512.74
EAN: 9780486689067
ASIN: 0486689069
Publication Date: February 7, 1996
Availability: Usually ships in 1-2 business days
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Product Description
Basic treatment, incorporating language of abstract algebra and a history of the discipline. Topics include unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, more. Many problems. Bibliography. Advanced undergraduate-beginning graduate-level. 1977 edition.
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| Customer Reviews:
Showing reviews 1-5 of 6
 Good for self teaching July 3, 2002
21 out of 24 found this review helpful
I am currently working through this book, and I really like the format, which is usually a small, digestible chapter followed by a set of exercises (usually 10 or so). Quite a wide variety of topics are covered including congruences, primitive roots, analysis of the number theoretic functions (e.g., the number of primes below x), and a little on diophantine approximations and continued fractions. Nothing post-calculus is used in the book except for some algebraic structures such as fields and rings, however, they are fully explained at the beginning of the book. (And some previous acquaintance with these would probably be good.) The exercises are especially good, being not too easy and not too hard. In response to the review below, to actually understand math like this you must be willing to do some work yourself. If you are looking to sit back in your easy chair and be entertained, then you should buy a book on the history of number theory, not a textbook.
Very detailed and interesting. September 29, 1999
20 out of 27 found this review helpful
Although by no means an easy read, this book is very detailed and informative. Math phobic people need not apply, however, because it gets very technical after the first chapter. I absolutely loved this book and would recommend it to anyone (probably not for pre-college people) who enjoys a challenging read.
Great Number Theory Book April 17, 2010
Enrique Trevino (Cd. Juarez, Mexico)
This book covers all the basics in number theory. The greatest common divisor, the Euclidean algorithm, congruences, primitive roots, quadratic reciprocity and more. If one has taken abstract algebra, then this is a great introductory number theory book, if one hasn't taken abstract algebra, then a few chapters would be difficult to understand (such as chapters 3, 4 and 8), but the rest don't need abstract algebra.
I like the topics that are covered, in particular, I think Leveque does a very good job of explaining important concepts in elementary number theory in chapter 6. I really like Brun's theorem on twin primes and the order of magnitude of several famous number theory functions.
The last chapter has some interesting sections including the proof of the trascendence of e.
Another thing I like about the book, is that it has mini biographies of important number theorists throughout the history of mathematics. I've always enjoyed reading about great mathematicians.
Recommend this book July 4, 2010
Indikos (Fairfax, Va)
This book on Number Theory is pitched at the undergraduate level. It is well written and organized. A nice feature is historical notes on past number theorists.
 Deceptive Title July 3, 2000
14 out of 42 found this review helpful
No concept is beyond the reach of an intelligent mind, so long as that concept is brilliantly explained. If there were a race for explanatory brilliance, this book would fall somewhere short of the starting line. For example, an appendix lists 58 mathematical symbols, (most of which you won't encounter in high school). These symbols are blithely used throughout the text, yet none is adequately explained. If you don't have calculus, statistics, trigonometry and a few other disciplines already firmly under your belt, forget this text. Of interest to all readers may be the occasional insets giving concise biographies of important mathematicians.
Showing reviews 1-5 of 6
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