Rings Fields And Vector Spaces

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Rings Fields And Vector Spaces

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Author : Bharath Sethuraman
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-11-26

Rings Fields And Vector Spaces written by Bharath Sethuraman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-26 with Mathematics categories.

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.

Rings Fields And Vector Spaces

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Author : B.A. Sethuraman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09

Rings Fields And Vector Spaces written by B.A. Sethuraman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.

This book is an attempt to communicate to undergraduate math ematics majors my enjoyment of abstract algebra. It grew out of a course offered at California State University, Northridge, in our teacher preparation program, titled Foundations of Algebra, that was intended to provide an advanced perspective on high-school mathe matics. When I first prepared to teach this course, I needed to select a set of topics to cover. The material that I selected would clearly have to have some bearing on school-level mathematics, but at the same time would have to be substantial enough for a university-level course. It would have to be something that would give the students a perspective into abstract mathematics, a feel for the conceptual elegance and grand simplifications brought about by the study of structure. It would have to be of a kind that would enable the stu dents to develop their creative powers and their reasoning abilities. And of course, it would all have to fit into a sixteen-week semester. The choice to me was clear: we should study constructibility. The mathematics that leads to the proof of the nontrisectibility of an arbitrary angle is beautiful, it is accessible, and it is worthwhile. Every teacher of mathematics would profit from knowing it. Now that I had decided on the topic, I had to decide on how to develop it. All the students in my course had taken an earlier course . .

Rings Fields And Vector Spaces

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Author : B. A. Sethuraman
language : en
Publisher:
Release Date : 1996-11-26

Rings Fields And Vector Spaces written by B. A. Sethuraman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-26 with categories.

Rings Fields And Vector Spaces

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Author : B.A. Sethuraman
language : en
Publisher: Springer
Release Date : 1997-12-10

Rings Fields And Vector Spaces written by B.A. Sethuraman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-10 with Mathematics categories.

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.

Groups Matrices And Vector Spaces

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Author : James B. Carrell
language : en
Publisher: Springer
Release Date : 2017-09-02

Groups Matrices And Vector Spaces written by James B. Carrell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-02 with Mathematics categories.

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.

First Course In Rings Fields And Vector Spaces

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Author : Phani Bhushan Bhattacharya
language : en
Publisher: John Wiley & Sons
Release Date : 1977

First Course In Rings Fields And Vector Spaces written by Phani Bhushan Bhattacharya and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.

Algebra

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Author : Laurence Edward Sigler
language : en
Publisher: Springer-Verlag
Release Date : 2013-07-02

Algebra written by Laurence Edward Sigler and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-02 with Mathematics categories.

Foundations Of Applied Mathematics Volume I

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Author : Jeffrey Humpherys
language : en
Publisher: SIAM
Release Date : 2017-07-07

Foundations Of Applied Mathematics Volume I written by Jeffrey Humpherys and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-07 with Mathematics categories.

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?

Abstract Algebra

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Author : Thomas Judson
language : en
Publisher: Orthogonal Publishing L3c
Release Date : 2023-08-11

Abstract Algebra written by Thomas Judson and has been published by Orthogonal Publishing L3c this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-11 with categories.

Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.

Abstract Algebra For Beginners

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Author : Steve Warner
language : en
Publisher:
Release Date : 2019-07-28

Abstract Algebra For Beginners written by Steve Warner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-28 with Mathematics categories.

"This book [provides] a basic but rigorous introduction to abstract algebra." --