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An Introduction to the Theory of Numbers, 5E by Ivan Niven, Herbert S. Zuckerman, Hugh L. Montgomery

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About this book :-
An Introduction to the Theory of Numbers, 5E written by Ivan Niven, Herbert S. Zuckerman, Hugh L. Montgomery .
This text is intended for use in a first course in number thoery, at the upper undergraduate or beginning graduate level. To make the book appropriate for a wide adience, the authors have included large collections of problems of varying difficulty. Some effort has been devoted to make the first chapters less demanding. In general chapters become gradually more challenging.
The Fifth Edition of one of the standard works on number theory, written by internationally-recognized mathematicians. Chapters are relatively self-contained for greater flexibility. New features include expanded treatment of the binomial theorem, techniques of numerical calculation and a section on public key cryptography. Contains an outstanding set of problems.
(Ivan Morton Niven, Herbert S. Zuckerman, Hugh L. Montgomery)

Book Detail :-
Title: An Introduction to the Theory of Numbers
Edition: 5th
Author(s): Ivan Niven, Herbert S. Zuckerman, Hugh L. Montgomery
Publisher: Wiley
Series:
Year: 1991
Pages: 541
Type: PDF
Language: English
ISBN: 0471625469,9780471625469
Country: US
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About Author :- The author Ivan Morton Niven (1915–1999) was a Canadian-American mathematician, specializing in number theory and known for his work on Waring's problem. He worked for many years as a professor at the University of Oregon, and was president of the Mathematical Association of America. He was the author of several books on mathematics. Niven was born in Vancouver. He did his undergraduate studies at the University of British Columbia and was awarded his doctorate in 1938 from the University of Chicago. He was a member of the University of Oregon faculty from 1947 to his retirement in 1981. He was president of the Mathematical Association of America (MAA) from 1983 to 1984. He died in 1999 in Eugene, Oregon.
Niven received the University of Oregon's Charles E. Johnson Award in 1981. He received the MAA Distinguished Service Award in 1989. He won a Lester R. Ford Award in 1970. In 2000, the asteroid 12513 Niven, discovered in 1998, was named after him.

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Book Contents :-
An Introduction to the Theory of Numbers, 5E written by Ivan Niven, Herbert S. Zuckerman, Hugh L. Montgomery cover the following topics. '
1. Divisibility
2. Congruences
3. Quadratic Reciprocity and Quadratic Forms
4. Some Functions of Number Theory
5. Some Diophantine Equations
6. Farey Fractions and Irrational Numbers
7. Simple Continued Fractions
8. Primes and Multiplicative Number Theory
9. Algebraic Numbers
10. The Partition Function
11. The Density of Sequences of Integers
Appendices
General References
Hints
Answers
Index

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