Name: Number Theory: Structures, Examples, and Problems (en Inglés)
SKU: 1771953
Price: 95.84 USD
Availability: InStock
Author: Titu Andreescu; Dorin Andrica

portada Number Theory: Structures, Examples, and Problems (en Inglés)

Number Theory: Structures, Examples, and Problems (en Inglés)

Formato

Libro Físico

Editorial

Birkhäuser

Autor

Titu Andreescu; Dorin Andrica

Año

2009

Idioma

Inglés

N° páginas

402

Encuadernación

Tapa Dura

Dimensiones

23.9x16.5x3 cm

ISBN

081763245X

ISBN13

9780817632458

Categorías

Álgebra

Number Theory: Structures, Examples, and Problems (en Inglés)

Titu Andreescu; Dorin Andrica (Autor) · Birkhäuser · Tapa Dura

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Reseña del libro "Number Theory: Structures, Examples, and Problems (en Inglés)"

Number theory, an ongoing rich area of mathematical exploration, is noted for its theoretical depth, with connections and applications to other fields from representation theory, to physics, cryptography, and more. While the forefront of number theory is replete with sophisticated and famous open problems, at its foundation are basic, elementary ideas that can stimulate and challenge beginning students. This lively introductory text focuses on a problem-solving approach to the subject.

Key features of Number Theory: Structures, Examples, and Problems:

* A rigorous exposition starts with the natural numbers and the basics.

* Important concepts are presented with an example, which may also emphasize an application. The exposition moves systematically and intuitively to uncover deeper properties.

* Topics include divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, quadratic residues, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems are covered.

* Unique exercises reinforce and motivate the reader, with selected solutions to some of the problems.

* Glossary, bibliography, and comprehensive index round out the text.

Written by distinguished research mathematicians and renowned teachers, this text is a clear, accessible introduction to the subject and a source of fascinating problems and puzzles, from advanced high school students to undergraduates, their instructors, and general readers at all levels.