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.


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


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


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 $K$-book

The $K$-book

Author: Charles A. Weibel

Publisher: American Mathematical Soc.

Published: 2013-06-13

Total Pages: 634

ISBN-13: 0821891324

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Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr


Linear Algebra As An Introduction To Abstract Mathematics

Linear Algebra As An Introduction To Abstract Mathematics

Author: Bruno Nachtergaele

Publisher: World Scientific Publishing Company

Published: 2015-11-30

Total Pages: 209

ISBN-13: 9814723797

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This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.


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"--