111 Problems In Algebra And Number Theory

111 Problems In Algebra And Number Theory by Adrian Andreescu. Download in PDF, EPUB, and Mobi Format for read it on your Kindle device, PC, phones or tablets. 111 Problems In Algebra And Number Theory books. Click Download for free ebooks.

111 Problems In Algebra And Number Theory

111 Problems In Algebra And Number Theory
Author: Adrian Andreescu
Publisher:
ISBN: 9780996874502
Size: 18.20 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: en
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
Elements of Number Theory
Language: en
Pages: 256
Authors: John Stillwell
Categories: Mathematics
Type: BOOK - Published: 2002-12-13 - Publisher: Springer Science & Business Media
Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There
A Course in Analytic Number Theory
Language: en
Pages: 371
Authors: Marius Overholt
Categories: Mathematics
Type: BOOK - Published: 2014-12-30 - Publisher: American Mathematical Soc.
This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics
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
Problems in Algebraic Number Theory
Language: en
Pages: 352
Authors: M. Ram Murty, Jody Esmonde
Categories: Mathematics
Type: BOOK - Published: 2005 - 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
Combinatorial Group Theory and Topology. (AM-111), Volume 111
Language: en
Pages: 560
Authors: S. M. Gersten, John R. Stallings
Categories: Mathematics
Type: BOOK - Published: 2016-03-02 - Publisher: Princeton University Press
Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah. Contributors to
Encyclopaedia of Mathematics, Supplement III
Language: en
Pages: 557
Authors: Michiel Hazewinkel
Categories: Mathematics
Type: BOOK - Published: 2007-11-23 - Publisher: Springer Science & Business Media
This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary
Algebraic K-Theory III. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972
Language: en
Pages: 578
Authors: Hyman Bass
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer
Books about Algebraic K-Theory III. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972
Ergodic Theory and Related Topics III
Language: en
Pages: 240
Authors: Ulrich Krengel, Karin Richter, Volker Warstat
Categories: Mathematics
Type: BOOK - Published: 1992-05-06 - Publisher: Springer
The purpose of the conference was to represent recent developments in measure theoretic, differentiable and topological dynamical systems as well as connections to probability theory, stochastic processes, operator theory and statistical physics. Only original research papers that do not appear elsewhere are included in the proceedings. Their topics include: C(2)-diffeomorphisms
Combinatorial Mathematics III
Language: en
Pages: 240
Authors: A.P. Street, W.D. Wallis
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer
Books about Combinatorial Mathematics III