111 Problems In Algebra And Number Theory PDF Books

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111 Problems In Algebra And Number Theory

111 Problems In Algebra And Number Theory
Author: Adrian Andreescu
Publisher:
ISBN: 9780996874502
Size: 76.25 MB
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Algebra plays a fundamental role not only in mathematics, but also in various other scientific fields. Without algebra there would be no uniform language to express concepts such as numbers' properties. Thus one must be well-versed in this domain in order to improve in other mathematical disciplines. We cover algebra as its own branch of mathematics and discuss important techniques that are also applicable in many Olympiad problems. Number theory too relies heavily on algebraic machinery. Often times, the solutions to number theory problems involve several steps. Such a solution typically consists of solving smaller problems originating from a hypothesis and ending with a concrete statement that is directly equivalent to or implies the desired condition. In this book, we introduce a solid foundation in elementary number theory, focusing mainly on the strategies which come up frequently in junior-level Olympiad problems.
111 Problems in Algebra and Number Theory
Language: un
Pages: 230
Authors: Adrian Andreescu, Vinjai Vale
Categories:
Type: BOOK - Published: 2016-04 - Publisher:
Algebra plays a fundamental role not only in mathematics, but also in various other scientific fields. Without algebra there would be no uniform language to express concepts such as numbers' properties. Thus one must be well-versed in this domain in order to improve in other mathematical disciplines. We cover algebra
Problems in Algebraic Number Theory
Language: en
Pages: 352
Authors: M. Ram Murty, Jody (Indigo) Esmonde
Categories: Mathematics
Type: BOOK - Published: 2006-03-30 - Publisher: Springer Science & Business Media
The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved
A Book of Abstract Algebra
Language: en
Pages: 384
Authors: Charles C Pinter
Categories: Mathematics
Type: BOOK - Published: 2010-01-14 - Publisher: Courier Corporation
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Problems and Proofs in Numbers and Algebra
Language: en
Pages: 223
Authors: Richard S. Millman, Peter J. Shiue, Eric Brendan Kahn
Categories: Mathematics
Type: BOOK - Published: 2015-02-09 - Publisher: Springer
Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through
A Course in Abstract Algebra, 5th Edition
Language: un
Pages: 869
Authors: Khanna V.K. & Bhamri S.K
Categories: Mathematics
Type: BOOK - Published: 2016 - Publisher: Vikas Publishing House
Designed for undergraduate and postgraduate students of mathematics, the book can also be used by those preparing for various competitive examinations. The text starts with a brief introduction to results from Set theory and Number theory. It then goes on to cover Groups, Rings, Fields and Linear Algebra. The topics
First Course in Algebra and Number Theory
Language: en
Pages: 560
Authors: Edwin Weiss
Categories: Mathematics
Type: BOOK - Published: 2014-05-10 - Publisher: Elsevier
First Course in Algebra and Number Theory presents the basic concepts, tools, and techniques of modern algebra and number theory. It is designed for a full year course at the freshman or sophomore college level. The text is organized into four chapters. The first chapter is concerned with the set
Problems in Analytic Number Theory
Language: en
Pages: 456
Authors: U.S.R. Murty
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media
"In order to become proficient in mathematics, or in any subject," writes Andre Weil, "the student must realize that most topics in volve only a small number of basic ideas. " After learning these basic concepts and theorems, the student should "drill in routine exercises, by which the necessary reflexes
Cornell University Courses of Study
Language: en
Pages:
Authors: Cornell University
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher:
Books about Cornell University Courses of Study
Undergraduate Courses
Language: en
Pages:
Authors: University of Illinois (Urbana-Champaign campus)
Categories: Mathematics
Type: BOOK - Published: 1967 - Publisher:
Books about Undergraduate Courses
Number Theory and Algebra
Language: en
Pages: 393
Authors: Hans Zassenhaus, Arnold Ephraim Ross, Olga Taussky
Categories: Algebra
Type: BOOK - Published: 1977 - Publisher:
Books about Number Theory and Algebra