Advanced Modern Algebra

Advanced Modern Algebra
Author: Joseph J. Rotman
Publisher: American Mathematical Society
Total Pages: 570
Release: 2023-02-22
Genre: Mathematics
ISBN: 1470472759

This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.

A Book of Abstract Algebra

A Book of Abstract Algebra
Author: Charles C Pinter
Publisher: Courier Corporation
Total Pages: 402
Release: 2010-01-14
Genre: 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.

Modern Higher Algebra

Modern Higher Algebra
Author: Abraham Adrian Albert
Publisher: Courier Dover Publications
Total Pages: 337
Release: 2018-03-21
Genre: Mathematics
ISBN: 0486823849

Originally published: Chicago: University of Chicago Press, 1937.

A Course in Algebra

A Course in Algebra
Author: Ėrnest Borisovich Vinberg
Publisher: American Mathematical Soc.
Total Pages: 532
Release: 2003-04-10
Genre: Mathematics
ISBN: 9780821834138

Presents modern algebra. This book includes such topics as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. It is suitable for independent study for advanced undergraduates and graduate students.

Advanced Algebra

Advanced Algebra
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
Total Pages: 757
Release: 2007-10-11
Genre: Mathematics
ISBN: 0817646132

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.

Elements of Modern Algebra, International Edition

Elements of Modern Algebra, International Edition
Author: Linda Gilbert
Publisher: Cengage Learning
Total Pages: 456
Release: 2008-11-01
Genre: 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.

Post-Modern Algebra

Post-Modern Algebra
Author: Jonathan D. H. Smith
Publisher: John Wiley & Sons
Total Pages: 386
Release: 2011-09-30
Genre: Mathematics
ISBN: 1118030834

Advanced algebra in the service of contemporary mathematicalresearch-- a unique introduction. This volume takes an altogether new approach to advanced algebra.Its intriguing title, inspired by the term postmodernism, denotes adeparture from van der Waerden's Modern Algebra--a book that hasdominated the field for nearly seventy years. Post-Modern Algebraoffers a truly up-to-date alternative to the standard approach,explaining topics from an applications-based perspective ratherthan by abstract principles alone. The book broadens the field ofstudy to include algebraic structures and methods used in currentand emerging mathematical research, and describes the powerful yetsubtle techniques of universal algebra and category theory.Classical algebraic areas of groups, rings, fields, and vectorspaces are bolstered by such topics as ordered sets, monoids,monoid actions, quasigroups, loops, lattices, Boolean algebras,categories, and Heyting algebras. The text features: * A clear and concise treatment at an introductory level, tested inuniversity courses. * A wealth of exercises illustrating concepts and their practicalapplication. * Effective techniques for solving research problems in the realworld. * Flexibility of presentation, making it easy to tailor material tospecific needs. * Help with elementary proofs and algebraic notations for studentsof varying abilities. Post-Modern Algebra is an excellent primary or supplementary textfor graduate-level algebra courses. It is also an extremely usefulresource for professionals and researchers in many areas who musttackle abstract, linear, or universal algebra in the course oftheir work.

A Concrete Introduction to Higher Algebra

A Concrete Introduction to Higher Algebra
Author: Lindsay Childs
Publisher: Springer Science & Business Media
Total Pages: 348
Release: 2012-12-06
Genre: Mathematics
ISBN: 1468400657

This book is written as an introduction to higher algebra for students with a background of a year of calculus. The book developed out of a set of notes for a sophomore-junior level course at the State University of New York at Albany entitled Classical Algebra. In the 1950s and before, it was customary for the first course in algebra to be a course in the theory of equations, consisting of a study of polynomials over the complex, real, and rational numbers, and, to a lesser extent, linear algebra from the point of view of systems of equations. Abstract algebra, that is, the study of groups, rings, and fields, usually followed such a course. In recent years the theory of equations course has disappeared. Without it, students entering abstract algebra courses tend to lack the experience in the algebraic theory of the basic classical examples of the integers and polynomials necessary for understanding, and more importantly, for ap preciating the formalism. To meet this problem, several texts have recently appeared introducing algebra through number theory.