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Author: R. B. J. T. Allenby
Publisher: Butterworth-Heinemann
Published: 1991
Total Pages: 383
ISBN-13: 9780340544402
DOWNLOAD EBOOK →Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses
Author: Irving Kaplansky
Publisher: University of Chicago Press
Published: 1972
Total Pages: 217
ISBN-13: 0226424510
DOWNLOAD EBOOK →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: Ken Levasseur
Publisher: Lulu.com
Published: 2012-02-25
Total Pages: 574
ISBN-13: 1105559297
DOWNLOAD EBOOK →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: David A.R. Wallace
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 256
ISBN-13: 1447104250
DOWNLOAD EBOOK →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: Bharath Sethuraman
Publisher: Springer Science & Business Media
Published: 1996-11-26
Total Pages: 210
ISBN-13: 0387948481
DOWNLOAD EBOOK →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: Fernando Q. Gouvêa
Publisher: American Mathematical Soc.
Published: 2012-12-31
Total Pages: 309
ISBN-13: 1614442118
DOWNLOAD EBOOK →Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
Author: Zhe-Xian Wan
Publisher: World Scientific
Published: 2003
Total Pages: 360
ISBN-13: 9789812385703
DOWNLOAD EBOOK →This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasised. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.
Author: Shahriar Shahriar
Publisher: American Mathematical Soc.
Published: 2017-08-16
Total Pages: 675
ISBN-13: 1470428490
DOWNLOAD EBOOK →This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.
Author: R. B. J. T. Allenby
Publisher: Hodder Education
Published: 1983
Total Pages: 422
ISBN-13:
DOWNLOAD EBOOK →This book provides a stimulating and unusiual introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses in universities and polytechnics. The mixture of informal and formal presentation generates the enthusiasm of the reader without neglecting the axiomatic approach necessary for the serious study.
Author: P.M. Cohn
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 470
ISBN-13: 0857294288
DOWNLOAD EBOOK →This is the first volume of a revised edition of P.M. Cohn's classic three-volume text Algebra, widely regarded as one of the most outstanding introductory algebra textbooks. This volume covers the important results of algebra. Readers should have some knowledge of linear algebra, groups and fields, although all the essential facts and definitions are recalled.
