Read Number Theory: Structures, Examples, and Problems

Number Theory: Structures, Examples, and Problems

Titu Andreescu

4.9/5 (21195 ratings)

Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Number Theory: Structures, Examples, and Problems. To get started finding Number Theory: Structures, Examples, and Problems, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: —

ISBN: 0817646450

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Number Theory: Structures, Examples, and Problems. To get started finding Number Theory: Structures, Examples, and Problems, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Number Theory: Structures, Examples, and Problems

Number Theory: Structures, Examples, and Problems

More Books

104 Number Theory Problems: From the Training of the USA IMO Team

104 Number Theory Problems: From the Training of the USA IMO Team

Mathematical Olympiad Treasures

Mathematical Olympiad Treasures

Mathematical Olympiad Challenges

Mathematical Olympiad Challenges

106 Geometry Problems from the AwesomeMath Summer Program

106 Geometry Problems from the AwesomeMath Summer Program

102 Combinatorial Problems: From the Training of the USA IMO Team

102 Combinatorial Problems: From the Training of the USA IMO Team

Complex Numbers from A to ...Z

Complex Numbers from A to ...Z

Problems from the Book

Problems from the Book

103 Trigonometry Problems: From the Training of the USA IMO Team

103 Trigonometry Problems: From the Training of the USA IMO Team

A Path to Combinatorics for Undergraduates: Counting Strategies

A Path to Combinatorics for Undergraduates: Counting Strategies