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Number Theory: Structures, Examples, and Problems by Dorin Andrica, Titu Andreescu (Hardcover, 2009)

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One of the oldest, liveliest branches of mathematics, number theory is noted for its theoretical depth and applications to other fields, including representation theory, physics, and cryptography. The forefront of number theory is replete with sophisticated and famous open problems; at its foundation, however, are basic, elementary ideas that can stimulate and challenge beginning students. This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for readers to solve. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, special sequences, and problems of density. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications, and by introducing and reinforcing every idea with an exercise, the authors motivate and engage readers. The exposition proceeds incrementally from first principles, starting with the natural numbers and then intuitively and rigorously uncovering deeper properties. A comprehensive index and selected solutions complete the work. Written by a team of distinguished research mathematicians and renowned teachers, Number Theory and Its Mathematical Structures will appeal to senior high school and undergraduate students and instructors. It is a clear, accessible introduction to the subject and a source of fascinating problems and puzzles for readers at all levels.

Product Identifiers

Publisher
Birkhauser Boston INC International Concepts
ISBN-13
9780817632458
eBay Product ID (ePID)
87824421

Product Key Features

Author
Dorin Andrica, Titu Andreescu
Publication Name
Number Theory: Structures, Examples, and Problems
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2009
Type
Textbook
Number of Pages
384 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
770g

Additional Product Features

Title_Author
Titu Andreescu, Dorin Andrica
Country/Region of Manufacture
United States

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Number Theory: Structures, Examples, and Problems by Dorin Andrica, Titu Andreescu (Hardcover, 2009)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Thinking, Fast and Slow by Daniel Kahneman (Paperback, 2012)

Australian Native Bee Book: Keeping Stingless Bee Hives for Pets, Pollination and Sugarbag Honey by Tim Heard (Paperback, 2015)

A guide to the Project Management Body of Knowledge (PMBOK guide) and the Standard for project management by Project Management Institute (Paperback, 2021)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

The Falsification of History: Our Distorted Reality by John Hamer (Paperback, 2013)

In-Basket Case Studies by Guy Adamson (Paperback, 1986)

Permaculture: A Designer's Manual by Bill Mollison (Hardcover, 1988)

Save on Adult Learning & University

Ford Falcon EF, EL/Fairlane NF, NL/LTD DF, DL 1994-1998 Haynes Workshop Manual

Netter Atlas of Human Anatomy: Classic Regional Approach

Michael Price Nick Vandome Windows 11 for Seniors in easy steps (Paperback)

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