A Course in Modern Algebra PDF Download
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Author: Peter Hilton
Publisher: John Wiley & Sons
ISBN: 9780471504054
Category : Mathematics
Languages : en
Pages : 266
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Book Description
This classic work is now available in an unabridged paperback edition. Hilton and Wu's unique approach brings the reader from the elements of linear algebra past the frontier of homological algebra. They describe a number of different algebraic domains, then emphasize the similarities and differences between them, employing the terminology of categories and functors. Exposition begins with set theory and group theory, and continues with coverage categories, functors, natural transformations, and duality, and closes with discussion of the two most fundamental derived functors of homological algebra, Ext and Tor.
Author: Peter Hilton
Publisher: John Wiley & Sons
ISBN: 9780471504054
Category : Mathematics
Languages : en
Pages : 266
Get Book Here
Book Description
This classic work is now available in an unabridged paperback edition. Hilton and Wu's unique approach brings the reader from the elements of linear algebra past the frontier of homological algebra. They describe a number of different algebraic domains, then emphasize the similarities and differences between them, employing the terminology of categories and functors. Exposition begins with set theory and group theory, and continues with coverage categories, functors, natural transformations, and duality, and closes with discussion of the two most fundamental derived functors of homological algebra, Ext and Tor.
Author: Peter John Hilton
Publisher:
ISBN:
Category :
Languages : en
Pages : 249
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Book Description
Author: Joseph J. Rotman
Publisher: American Mathematical Society
ISBN: 1470472759
Category : Mathematics
Languages : en
Pages : 570
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Book Description
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.
Author: Seth Warner
Publisher: Courier Corporation
ISBN: 0486137090
Category : Mathematics
Languages : en
Pages : 852
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Book Description
Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402
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Book Description
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.
Author: Nathan Carter
Publisher: American Mathematical Soc.
ISBN: 1470464330
Category : Education
Languages : en
Pages : 295
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Book Description
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.
Author:
Publisher: Krishna Prakashan Media
ISBN: 9788182830561
Category :
Languages : en
Pages : 654
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Book Description
Author: Albert Cuoco
Publisher: MAA
ISBN: 1939512018
Category : Mathematics
Languages : en
Pages : 481
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Book Description
A guide to modern algebra for mathematics teachers. It makes explicit connections between abstract algebra and high-school mathematics.
Author: Paolo Aluffi
Publisher: American Mathematical Soc.
ISBN: 147046571X
Category : Education
Languages : en
Pages : 713
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Book Description
Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.
Author: Ėrnest Borisovich Vinberg
Publisher: American Mathematical Soc.
ISBN: 9780821834138
Category : Mathematics
Languages : en
Pages : 532
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Book Description
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.
