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Author : Fernando Q. Gouvêa
Publisher : American Mathematical Soc.
Page : 309 pages
File Size : 41,64 MB
Release : 2012-12-31
Category : Mathematics
ISBN : 1614442118
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
Author : Fernando Q. Gouvêa
Publisher : MAA
Page : 329 pages
File Size : 49,4 MB
Release : 2012
Category : Mathematics
ISBN : 0883853558
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
Author : Irving Kaplansky
Publisher : University of Chicago Press
Page : 217 pages
File Size : 49,10 MB
Release : 1972
Category : Mathematics
ISBN : 0226424510
This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules. "In all three parts of this book the author lives up to his reputation as a first-rate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease."—A. Rosenberg, Mathematical Reviews
Author : Bharath Sethuraman
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 42,77 MB
Release : 1996-11-26
Category : Mathematics
ISBN : 0387948481
Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.
Author : Steve Warner
Publisher :
Page : 346 pages
File Size : 43,37 MB
Release : 2019-07-28
Category : Mathematics
ISBN : 9780999811788
"This book [provides] a basic but rigorous introduction to abstract algebra." --
Author : Ken Levasseur
Publisher : Lulu.com
Page : 574 pages
File Size : 49,33 MB
Release : 2012-02-25
Category : Applied mathematics
ISBN : 1105559297
Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.
Author : Marlow Anderson
Publisher : CRC Press
Page : 684 pages
File Size : 22,69 MB
Release : 2005-01-27
Category : Mathematics
ISBN : 1420057111
Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with something students know and abstracting from there
Author : David A.R. Wallace
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 50,2 MB
Release : 2001-06-22
Category : Mathematics
ISBN : 9783540761778
This is a basic introduction to modern algebra, providing a solid understanding of the axiomatic treatment of groups and then rings, aiming to promote a feeling for the evolutionary and historical development of the subject. It includes problems and fully worked solutions, enabling readers to master the subject rather than simply observing it.
Author : M.R. Adhikari
Publisher : Universities Press
Page : 336 pages
File Size : 48,65 MB
Release : 2003
Category : Commutative rings
ISBN : 9788173714290
Author : Nathan Carter
Publisher : American Mathematical Soc.
Page : 295 pages
File Size : 42,75 MB
Release : 2021-06-08
Category : Education
ISBN : 1470464330
Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.