Titu Andreescu,
Dorin Andrica
Birkhäuser Boston
2009e druk, 2009
9780817632458
Number Theory
Structures, Examples, and Problems
Specificaties
Gebonden, 384 blz.
|
Engels
Birkhäuser Boston |
2009e druk, 2009
ISBN13: 9780817632458
Rubricering
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9780817632458
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:384
Uitgever:Birkhäuser Boston
Druk:2009
Inhoudsopgave
Fundamentals.- 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.- 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.