Categories

- Author: Titu Andreescu
- Pages: 384
- Language: English
- ISBN/ASIN: 081763245X
- ISBN13: 9780817632458
- Upload date: 13-12-2016, 14:11
- Category: Mathematics

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.

- Download Number Theory: Structures, Examples, and Problems - UseNet cloud
- http://nitroflare.com/view/45EF2A8FCFFE933/081763245X__Mathematics.pdf

* If download links doesn't work. Please write a comment.

Number Theory: Structures, Examples, and Problems Download via usenet
The Whole Truth About Whole Numbers: An Elementary Introduction to Number Theory The Arithmetic of Dynamical Systems Problems and Proofs in Numbers and Algebra Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory Number Theory: An Introduction via the Distribution of Primes Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics) Number Theory (Pure & Applied Mathematics) Introduction to Analytic Number Theory (Undergraduate Texts in Mathematics) Introduction to Analytic Number Theory First Course in Algebra and Number Theory Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory Ergodic Theory: with a view towards Number Theory Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach (Undergraduate Texts in Mathematics) Elementary Number Theory, Cryptography and Codes (Universitext) Elementary Number Theory with Programming Elementary Number Theory in Nine Chapters Comprehensive Course in Number Theory Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava An Introduction to the Theory of Numbers, 6 Edition Algebraic Number Theory Advanced Number Theory with Applications (Discrete Mathematics and Its Applications) A Course in Analytic Number Theory (Graduate Studies in Mathematics) An Introduction to Number Theory with Cryptography