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

Wit and Mirth  Or  Pills to Purge Melancholy
Author: Adrian Andreescu
Publisher:
ISBN: 9780996874502
Size: 15.49 MB
Format: PDF, Kindle
View: 6979
Get Books

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
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
Group Theory, Algebra, and Number Theory
Language: en
Pages: 221
Authors: Horst G. Zimmer
Categories: Mathematics
Type: BOOK - Published: 1996-01-01 - Publisher: Walter de Gruyter
Books about Group Theory, Algebra, and Number Theory
Algebraic Groups and Number Theory
Language: en
Pages: 614
Authors: Vladimir Platonov, Andrei Rapinchuk, Rachel Rowen
Categories: Mathematics
Type: BOOK - Published: 1993-12-07 - Publisher: Academic Press
This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is
Problems and Theorems in Classical Set Theory
Language: en
Pages: 516
Authors: Peter Komjath, Vilmos Totik
Categories: Mathematics
Type: BOOK - Published: 2006-05-02 - Publisher: Springer Science & Business Media
This volume contains a variety of problems from classical set theory and represents the first comprehensive collection of such problems. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. Rather than using drill exercises, most problems are challenging and require
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
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
A Course in Computational Algebraic Number Theory
Language: en
Pages: 536
Authors: Henri Cohen
Categories: Mathematics
Type: BOOK - Published: 2000-08-01 - Publisher: Springer Science & Business Media
A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units,
Ramsey Theory on the Integers
Language: en
Pages: 317
Authors: Bruce M. Landman, Aaron Robertson
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.
Ramsey theory is the study of the structure of mathematical objects that is preserved under partitions. In its full generality, Ramsey theory is quite powerful, but can quickly become complicated. By limiting the focus of this book to Ramsey theory applied to the set of integers, the authors have produced