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Viser: Number Theory - Structures, Examples, and Problems
Number Theory Vital Source e-bog
Titu Andreescu og Dorin Andrica
(2009)
Number Theory
Structures, Examples, and Problems
Titu Andreescu, Mark Saul, Noam Elkies og Dorin Andrica
(2009)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (Juni 2009)
- Forfattere: Titu Andreescu og Dorin Andrica
- ISBN: 9780817646455
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- 1. Udgave
- Hardback: 300 sider
- Udgiver: Birkhäuser Boston (Marts 2009)
- Forfattere: Titu Andreescu, Mark Saul, Noam Elkies og Dorin Andrica
- ISBN: 9780817632458
This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications the authors motivate and engage readers.
Part.- Digits of Numbers.- Basic Principles in Number Theory.- Arithmetic Functions.- More on Divisibility.- Diophantine Equations.- Some Special Problems in Number Theory.- Problems Involving Binomial Coefficients.- Miscellaneous Problems.- Solutions to Additional Problems.- Divisibility.- Powers of Integers.- Floor Function and Fractional
Part.- Digits of Numbers.- Basic Principles in Number Theory.- Arithmetic Functions.- More on Divisibility.- Diophantine Equations.- Some Special Problems in Number Theory.- Problems Involving Binomial Coefficients.- Miscellaneous Problems.