Elements of Algebra
Author : Leonhard Euler
Publisher :
Page : 960 pages
File Size : 45,1 MB
Release : 1810
Category : Algebra
ISBN :
Author : Leonhard Euler
Publisher :
Page : 960 pages
File Size : 45,1 MB
Release : 1810
Category : Algebra
ISBN :
Author : Leonhard Euler
Publisher :
Page : 636 pages
File Size : 28,38 MB
Release : 1840
Category : Algebra
ISBN :
Author : Allan Clark
Publisher : Courier Corporation
Page : 242 pages
File Size : 43,51 MB
Release : 2012-07-06
Category : Mathematics
ISBN : 0486140350
Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.
Author : John Stillwell
Publisher : Princeton University Press
Page : 440 pages
File Size : 34,24 MB
Release : 2016
Category : Mathematics
ISBN : 0691171688
An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.
Author : Linda Gilbert
Publisher : Cengage Learning
Page : 456 pages
File Size : 25,33 MB
Release : 2008-11-01
Category : Algebra, Abstract
ISBN : 9780495561385
ELEMENTS OF MODERN ALGEBRA, 7e, INTERNATIONAL EDITION with its user-friendly format, provides you with the tools you need to get succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses.. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem solving skills.
Author : Arthur Schultze
Publisher :
Page : 336 pages
File Size : 41,82 MB
Release : 1918
Category : Algebra
ISBN :
Author : John Stillwell
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 47,75 MB
Release : 2012-11-12
Category : Mathematics
ISBN : 0387217355
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 are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.
Author : John D. Lipson
Publisher : Addison Wesley Publishing Company
Page : 368 pages
File Size : 31,76 MB
Release : 1981
Category : Mathematics
ISBN :
Author : P.M. Cohn
Publisher : CRC Press
Page : 244 pages
File Size : 24,57 MB
Release : 1994-07-01
Category : Mathematics
ISBN : 9780412552809
This volume presents a thorough discussion of systems of linear equations and their solutions. Vectors and matrices are introduced as required and an account of determinants is given. Great emphasis has been placed on keeping the presentation as simple as possible, with many illustrative examples. While all mathematical assertions are proved, the student is led to view the mathematical content intuitively, as an aid to understanding. The text treats the coordinate geometry of lines, planes and quadrics, provides a natural application for linear algebra and at the same time furnished a geometrical interpretation to illustrate the algebraic concepts.
Author : Charles C Pinter
Publisher : Courier Corporation
Page : 402 pages
File Size : 46,50 MB
Release : 2010-01-14
Category : Mathematics
ISBN : 0486474178
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.