Rings Fields And Vector Spaces

Author : B.A. Sethuraman
Publisher : Springer Science & Business Media
ISBN 13 : 1475727003
Total Pages : 201 pages
Book Rating : 4.05/5 ( download)

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Download or read book Rings, Fields, and Vector Spaces written by B.A. Sethuraman and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.

Author : Bharath Sethuraman
Publisher : Springer Science & Business Media
ISBN 13 : 0387948481
Total Pages : 210 pages
Book Rating : 4.85/5 ( download)

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Download or read book Rings, Fields, and Vector Spaces written by Bharath Sethuraman and published by Springer Science & Business Media. This book was released on 1996-11-26 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.

Author : B.A. Sethuraman
Publisher : Springer
ISBN 13 : 9781475727029
Total Pages : 192 pages
Book Rating : 4.2X/5 ( download)

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Download or read book Rings, Fields, and Vector Spaces written by B.A. Sethuraman and published by Springer. This book was released on 1997-12-10 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.

Author : B. A. Sethuraman
Publisher :
ISBN 13 : 9781475727012
Total Pages : 208 pages
Book Rating : 4.11/5 ( download)

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Download or read book Rings, Fields, and Vector Spaces written by B. A. Sethuraman and published by . This book was released on 1996-11-26 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Phani Bhushan Bhattacharya
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.92/5 ( download)

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Download or read book First Course in Rings, Fields, and Vector Spaces written by Phani Bhushan Bhattacharya and published by John Wiley & Sons. This book was released on 1977 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : BHATTACHARYA
Publisher : John Wiley & Sons
ISBN 13 : 9780471638704
Total Pages : pages
Book Rating : 4.06/5 ( download)

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Download or read book First Course in Rings Fields and Vector Spaces written by BHATTACHARYA and published by John Wiley & Sons. This book was released on 1971-05-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Thomas Scott Blyth
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.35/5 ( download)

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Download or read book Module Theory written by Thomas Scott Blyth and published by . This book was released on 1990 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a self-contained course on the basic properties of modules and their importance in the theory of linear algebra. The first 11 chapters introduce the central results and applications of the theory of modules. Subsequent chapters deal with advanced linear algebra, including multilinear and tensor algebra, and explore such topics as the exterior product approach to the determinants of matrices, a module-theoretic approach to the structure of finitely generated Abelian groups, canonical forms, and normal transformations. Suitable for undergraduate courses, the text now includes a proof of the celebrated Wedderburn-Artin theorem which determines the structure of simple Artinian rings.

Author : James B. Carrell
Publisher : Springer
ISBN 13 : 038779428X
Total Pages : 410 pages
Book Rating : 4.80/5 ( download)

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Download or read book Groups, Matrices, and Vector Spaces written by James B. Carrell and published by Springer. This book was released on 2017-09-02 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group. Applications involving symm etry groups, determinants, linear coding theory and cryptography are interwoven throughout. Each section ends with ample practice problems assisting the reader to better understand the material. Some of the applications are illustrated in the chapter appendices. The author's unique melding of topics evolved from a two semester course that he taught at the University of British Columbia consisting of an undergraduate honors course on abstract linear algebra and a similar course on the theory of groups. The combined content from both makes this rare text ideal for a year-long course, covering more material than most linear algebra texts. It is also optimal for independent study and as a supplementary text for various professional applications. Advanced undergraduate or graduate students in mathematics, physics, computer science and engineering will find this book both useful and enjoyable.

Author : Jeffrey Humpherys
Publisher : SIAM
ISBN 13 : 1611974895
Total Pages : 710 pages
Book Rating : 4.98/5 ( download)

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Download or read book Foundations of Applied Mathematics, Volume I written by Jeffrey Humpherys and published by SIAM. This book was released on 2017-07-07 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?

Author : Fernando Q. Gouvêa
Publisher : American Mathematical Soc.
ISBN 13 : 1614442118
Total Pages : 309 pages
Book Rating : 4.10/5 ( download)

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Download or read book A Guide to Groups, Rings, and Fields written by Fernando Q. Gouvêa and published by American Mathematical Soc.. This book was released on 2012-12-31 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.