Basic Algebra

Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817645292
Category : Mathematics
Languages : en
Pages : 762

Book Description
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. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.

Basic Algebra I

Author: Nathan Jacobson
Publisher: Courier Corporation
ISBN: 0486135225
Category : Mathematics
Languages : en
Pages : 530

Book Description
A classic text and standard reference for a generation, this volume covers all undergraduate algebra topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition.

Basic Algebra I

Author: Nathan Jacobson
Publisher: Courier Corporation
ISBN: 0486471896
Category : Mathematics
Languages : en
Pages : 530

Book Description
"Explores all of the topics typically covered in undergraduate courses including the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra"--Cover p. 4

Basic Abstract Algebra

Author: Robert B. Ash
Publisher: Courier Corporation
ISBN: 0486318117
Category : Mathematics
Languages : en
Pages : 434

Book Description
Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.

Algebra I: A Basic Course in Abstract Algebra

Author: Rajendra Kumar Sharma
Publisher: Pearson Education India
ISBN: 8131797627
Category :
Languages : en
Pages : 781

Book Description
Algebra is a compulsory paper offered to the undergraduate students of Mathematics. The majority of universities offer the subject as a two /three year paper or in two/three semesters. Algebra I: A Basic Course in Abstract Algebra covers the topic required for a basic course.

Advanced Algebra

Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817646132
Category : Mathematics
Languages : en
Pages : 757

Book Description
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.

Basic Algebra

Author: P.M. Cohn
Publisher: Springer Science & Business Media
ISBN: 0857294288
Category : Mathematics
Languages : en
Pages : 470

Book Description
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.

Basic Abstract Algebra

Author: P. B. Bhattacharya
Publisher: Cambridge University Press
ISBN: 9780521466295
Category : Mathematics
Languages : en
Pages : 512

Book Description
This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.

Basic Notions of Algebra

Author: Igor R. Shafarevich
Publisher: Springer Science & Business Media
ISBN: 9783540251774
Category : Mathematics
Languages : en
Pages : 272

Book Description
Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields studied in every university maths course, through Lie groups to cohomology and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Required reading for mathematicians, from beginners to experts.

Algebra I

Author: Alexey L. Gorodentsev
Publisher: Springer
ISBN: 3319452851
Category : Mathematics
Languages : en
Pages : 575

Book Description
This book is the first volume of an intensive “Russian-style” two-year graduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.