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Author : Joseph Landin
Publisher : Courier Corporation
Page : 275 pages
File Size : 17,1 MB
Release : 2012-08-29
Category : Mathematics
ISBN : 0486150410
This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
Author : Palash B. Pal
Publisher : Cambridge University Press
Page : 717 pages
File Size : 26,78 MB
Release : 2019-05-23
Category : Science
ISBN : 1108492207
Algebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections.
Author : Larry J. Gerstein
Publisher : W H Freeman & Company
Page : 413 pages
File Size : 50,9 MB
Release : 1987-01-01
Category : Algebra, Abstract.
ISBN : 9780716718048
Provides a brief but substantial introduction to ideas, structures and techniques in discrete mathematics and abstract algebra. It addresses many of the common mathematical needs of students in mathematics and computer science at undergraduate level.
Author : Martyn R. Dixon
Publisher : John Wiley & Sons
Page : 240 pages
File Size : 49,5 MB
Release : 2014-11-17
Category : Mathematics
ISBN : 1118497759
A reader-friendly introduction to modern algebra with important examples from various areas of mathematics Featuring a clear and concise approach, An Introduction to Essential Algebraic Structures presents an integrated approach to basic concepts of modern algebra and highlights topics that play a central role in various branches of mathematics. The authors discuss key topics of abstract and modern algebra including sets, number systems, groups, rings, and fields. The book begins with an exposition of the elements of set theory and moves on to cover the main ideas and branches of abstract algebra. In addition, the book includes: Numerous examples throughout to deepen readers’ knowledge of the presented material An exercise set after each chapter section in an effort to build a deeper understanding of the subject and improve knowledge retention Hints and answers to select exercises at the end of the book A supplementary website with an Instructors Solutions manual An Introduction to Essential Algebraic Structures is an excellent textbook for introductory courses in abstract algebra as well as an ideal reference for anyone who would like to be more familiar with the basic topics of abstract algebra.
Author : Donald S. Passman
Publisher : Courier Corporation
Page : 754 pages
File Size : 33,46 MB
Release : 2011-01-01
Category : Mathematics
ISBN : 0486482065
"'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--
Author : F. J. Budden
Publisher :
Page : 136 pages
File Size : 47,23 MB
Release : 1975
Category : Algebra
ISBN : 9780582352186
Author : Larry Gerstein
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 21,16 MB
Release : 2013-11-21
Category : Science
ISBN : 1468467085
This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the rudiments of logic, set theory, equivalence relations, and other basic mathematical raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried the students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a nontrivial level if they are to achieve the sophisticated blend of knowledge, disci pline, and creativity that we call "mathematical maturity. " I don't believe that "theorem-proving" can be taught any more than "question-answering" can be taught. Nevertheless, I have found that it is possible to guide stu dents gently into the process of mathematical proof in such a way that they become comfortable with the experience and begin asking them selves questions that will lead them in the right direction.
Author : Stephan Foldes
Publisher : John Wiley & Sons
Page : 362 pages
File Size : 21,84 MB
Release : 2011-02-14
Category : Mathematics
ISBN : 1118031431
Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples.
Author : Jorge Martínez
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 30,14 MB
Release : 2002-08-31
Category : Mathematics
ISBN : 9781402007521
This publication surveys some of the disciplines within ordered algebraic structures and also contains chapters highlighting a broad spectrum of research interests. In all, this book represents a reasonably accurate cross-section of the state of the art in ordered algebraic structures.
Author : Peter J. Cameron
Publisher : Oxford University Press, USA
Page : 353 pages
File Size : 25,57 MB
Release : 2008
Category : Mathematics
ISBN : 0198569130
This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters,new material on axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics.