An Introduction to Algebraic Structures

An Introduction to Algebraic Structures

Author: Joseph Landin

Publisher: Courier Corporation

Published: 2012-08-29

Total Pages: 275

ISBN-13: 0486150410

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This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.


A Physicists Introduction to Algebraic Structures

A Physicists Introduction to Algebraic Structures

Author: Palash B. Pal

Publisher: Cambridge University Press

Published: 2019-05-23

Total Pages: 717

ISBN-13: 1108492207

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Algebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections.


Introduction to Algebra

Introduction to Algebra

Author: Peter J. Cameron

Publisher: Oxford University Press, USA

Published: 2008

Total Pages: 353

ISBN-13: 0198569130

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This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters,new material on axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics.


The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings

Author: Donald S. Passman

Publisher: Courier Corporation

Published: 2011-01-01

Total Pages: 754

ISBN-13: 0486482065

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"'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--


Discrete Mathematics and Algebraic Structures

Discrete Mathematics and Algebraic Structures

Author: Larry J. Gerstein

Publisher: W H Freeman & Company

Published: 1987-01-01

Total Pages: 413

ISBN-13: 9780716718048

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Provides a brief but substantial introduction to ideas, structures and techniques in discrete mathematics and abstract algebra. It addresses many of the common mathematical needs of students in mathematics and computer science at undergraduate level.


Lattices and Ordered Algebraic Structures

Lattices and Ordered Algebraic Structures

Author: T.S. Blyth

Publisher: Springer Science & Business Media

Published: 2005-04-18

Total Pages: 311

ISBN-13: 1852339055

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"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS


Introduction · to Mathematical Structures and · Proofs

Introduction · to Mathematical Structures and · Proofs

Author: Larry Gerstein

Publisher: Springer Science & Business Media

Published: 2013-11-21

Total Pages: 355

ISBN-13: 1468467085

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This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the rudiments of logic, set theory, equivalence relations, and other basic mathematical raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried the students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a nontrivial level if they are to achieve the sophisticated blend of knowledge, disci pline, and creativity that we call "mathematical maturity. " I don't believe that "theorem-proving" can be taught any more than "question-answering" can be taught. Nevertheless, I have found that it is possible to guide stu dents gently into the process of mathematical proof in such a way that they become comfortable with the experience and begin asking them selves questions that will lead them in the right direction.


Undergraduate Algebra

Undergraduate Algebra

Author: Serge Lang

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 380

ISBN-13: 1475768982

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The companion title, Linear Algebra, has sold over 8,000 copies The writing style is very accessible The material can be covered easily in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group