# Number Theory: Structures, Examples, and Problems

Titu Andreescu, Dorin Andrica, "Number Theory: Structures, Examples, and Problems"

B.ser B.ston | 2009 | ISBN: 081763245X | 384 pages | File type: PDF | 1,6 mb

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 links:

http://uploading.com/files/fd2b648d/081763245XNumber.rar/

http://depositfiles.com/files/2rghdef5f

http://www.filesonic.com/file/38953147/081763245XNumber.rar

**[Fast Download] Number Theory: Structures, Examples, and Problems**

**Ebooks related to "Number Theory: Structures, Examples, and Problems" :**

Lectures on Finitely Generated Solvable Groups

Applications of Discrete-time Markov Chains and Poisson Processes to Air Pol

System Identification Using Regular and Quantized Observations: Applications

100 Ideas for Teaching Primary Mathematics

Around and Beyond the Square of Opposition

A.P.S. Selvadurai - Partial Differential Equations in Mechanics 1

Multilingualism in Mathematics Classrooms: Global Perspectives

Quasi-Frobenius Rings

How Crime Fighters Use Math (Math in the Real World)

Problem Book for First Year Calculus (Problem Books in Mathematics)

**Copyright Disclaimer:**

This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.

**Categories**

Astronomy and Cosmology | Physics |

Philosophy | Medicine |

Mathematics |
DSP |

Cryptography | Chemistry |

Biology and Genetics | Psychology and Behavior |

Differential Equations - Geometry, Symme(1376)

Algebraic Geometry: A Problem Solving Ap(1158)

"Game Theory Relaunched" ed. by Hardy Ha(1075)

Paradoxes in Probability Theory(1062)

Essentials of Probabilty & Statistics fo(1038)

Student Solutions Manual (Chapters 10-17(1029)

Mathe-Manga Analysis(1018)

Mathematics for Teachers: An Interactive(1011)

College Algebra in Context, 4th Edition(911)

Calculus Without Derivatives (Graduate T(872)

Visions of Infinity: The Great Mathemati(853)

An Introduction to Optimization(849)

Fundamentals of Object Tracking(826)

100 Ideas for Teaching Primary Mathemati(728)

Mathematical Methods for Physicists, Sev(635)

A Guide to Matlab: For Beginners and Exp(10919)

Digital Signal Processing Using MATLAB V(10791)

Mathematical Olympiad Challenges(9767)

Theory of Computation(9663)

Numerical Methods for Engineers and Scie(9408)

Introduction to Probability Models, Nint(7977)

Calculus and Analytic Geometry, 9th Edit(7521)

Nelson Functions 11(6904)

A First Course in Abstract Algebra(6633)

A Modern Introduction to Probability and(6423)

Elementary Linear Algebra with Applicati(5446)

Using Multivariate Statistics (5th Editi(5445)

The Mathematica Handbook(5152)

An Introduction to Optimization, 2nd Edi(4754)

A Mathematician Plays the Stock Market(4516)