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| Number Theory. Structures, Examples, and Problems | Buy a book...
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| Author(s): | T. Andreescu and D. Andrica |
| Publisher: | Birkhäuser |
| ISBN: | 9780817632458 |
| Format: | hardback |
| 384pp | |
| Price: | £44.99 |
| Review Date: | 03 February 2010 |
| Review: | Number theory is known for its theoretical depth and applications to other fields. At the root of number theory are basic elementary ideas that can stimulate and challenge students. This book takes a problem-solving approach to number theory with examples or problems used as ways of introducing the concepts. The book begins with the first part, an introduction to the 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, special problems, and problems involving binomial coefficients). The second part gives solutions to additional problems. There are sections on mathematical induction and the pigeonhole principle, as well as discussion of other number systems. There is also a special section on genuine Olympiad and other mathematical contest problems, solved using the given methods. The book is suitable for senior high school level or undergraduates and their instructors. |