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by: Donald J. Newman
Amazon.com's Price: $49.95 Prices subject to change. Availability: Usually ships in 3 to 5 weeks
Binding: Hardcover
Dewey Decimal Number: 512.73
EAN: 9780387983080
ISBN: 0387983082
Label: Springer
Manufacturer: Springer
Number Of Items: 1
Number Of Pages: 78
Publication Date: July 19, 2000
Publisher: Springer
Sales Rank: 639451
Studio: Springer
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Editorial Review:
Product Description:
Analytic Number Theory presents some of the central topics in number theory in a simple and concise fashion. It covers an amazing amount of material, despite the leisurely pace and emphasis on readability. The author's heartfelt enthusiasm enables readers to see what is magical about the subject. Topics included are: The Partition Function; The Erdös-Fuchs Theorem; Sequences without Arithmetic Professions; The Waring Problem; A 'Natural' Proof of the Non-vanishing of L-Series, and a Simple Analytic Proof of the Prime Number Theorem - all presented in a surprisingly elegant and efficient manner with clever examples and interesting problems in each chapter. This text is suitable for a graduate course in analytic number theory.
Customer Reviews
Average Rating: 
Rating: - Excellent book, very clear. A few errors still.
I find this book exceptionally clear. It's the thinnest GTM text I've ever seen, but there is a lot of material there.
It's true that this book doesn't have a comprehensive treatment of analytic number theory, I like the other reviewer's analogy of an appendix to generatingfunctionology--this book does focus primarily on sequences and generating functions. However, it is a very clear, fun, and easy to read book. The book's thinness may be misleading; there is plenty of explanatory ... Read More
Rating: - Second printing corrects most typos
This book is somewhat in the spirit of Aigner and Ziegler's "Proofs from the Book": short, clear proofs of important results in Analytic Number Theory. My favorite parts are (1) the "natural" proof of the non-vanishing of L-series, which really does make it look inevitable; (2) the Crazy Dice, a simple and surprising example of the power that generating functions provide when you switch your viewpoint between formal power series and the functions they represent.
To some ... Read More
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