Graduate Texts in Mathematics

Elementary Methods in Number Theory

Authors: Nathanson, Melvyn B.

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eBook 51,16 €
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  • ISBN 978-0-387-22738-2
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Softcover 62,35 €
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  • ISBN 978-1-4757-7392-7
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About this Textbook

Elementary Methods in Number Theory begins with "a first course in number theory" for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion on the abc conjecture and its consequences in elementary number theory. In the second and third parts of the book, deep results in number theory are proved using only elementary methods. Part II is about multiplicative number theory, and includes two of the most famous results in mathematics: the Erdös-Selberg elementary proof of the prime number theorem, and Dirichlets theorem on primes in arithmetic progressions. Part III is an introduction to three classical topics in additive number theory: Warings problems for polynomials, Liouvilles method to determine the number of representations of an integer as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classical Bases and Additive Number Theory: Inverse Problems and the Geometry of Sumsets.

Table of contents (16 chapters)

Buy this book

eBook 51,16 €
price for Spain (gross)
  • ISBN 978-0-387-22738-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,35 €
price for Spain (gross)
  • ISBN 978-0-387-98912-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 62,35 €
price for Spain (gross)
  • ISBN 978-1-4757-7392-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Elementary Methods in Number Theory
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
195
Copyright
2000
Publisher
Springer-Verlag New York
Copyright Holder
Melvyn B. Nathanson
eBook ISBN
978-0-387-22738-2
DOI
10.1007/b98870
Hardcover ISBN
978-0-387-98912-9
Softcover ISBN
978-1-4757-7392-7
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XVIII, 514
Topics