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Abstract Linear Algebra

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Abstract Linear Algebra

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Author : Morton L. Curtis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Abstract Linear Algebra written by Morton L. Curtis 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 2012-12-06 with Mathematics categories.

Beginning from scratch and developing the standard topics of Linear Algebra, this book is intended as a text for a first course on the subject. The goal to which this work leads is the Theorem of Hurwitz - that the only normed algebras over the real numbers are the real numbers, the complex numbers, the quaternions, and the octonions. Unique in presenting this material at an elementary level, the book stresses the complete logical development of the subject and will provide a bavuable reference for mathematicians in general.

Abstract And Linear Algebra

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Author : David M. Burton
language : en
Publisher:
Release Date : 1972

Abstract And Linear Algebra written by David M. Burton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.

Lectures In Abstract Algebra

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Author : N. Jacobson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Lectures In Abstract Algebra written by N. Jacobson 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 2013-03-09 with Mathematics categories.

The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups, rings, fields, homomorphisms, is presupposed. However, we have tried to make this account of linear algebra independent of a detailed knowledge of our first volume. References to specific results are given occasionally but some of the fundamental concepts needed have been treated again. In short, it is hoped that this volume can be read with complete understanding by any student who is mathematically sufficiently mature and who has a familiarity with the standard notions of modern algebra. Our point of view in the present volume is basically the abstract conceptual one. However, from time to time we have deviated somewhat from this. Occasionally formal calculational methods yield sharper results. Moreover, the results of linear algebra are not an end in themselves but are essentialtools for use in other branches of mathematics and its applications. It is therefore useful to have at hand methods which are constructive and which can be applied in numerical problems. These methods sometimes necessitate a somewhat lengthier discussion but we have felt that their presentation is justified on the grounds indicated. A stu dent well versed in abstract algebra will undoubtedly observe short cuts. Some of these have been indicated in footnotes. We have included a large number of exercises in the text.

Abstract And Linear Algebra

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Author :
language : en
Publisher: Krishna Prakashan Media
Release Date :

Abstract And Linear Algebra written by and has been published by Krishna Prakashan Media this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Introduction To Abstract And Linear Algebra

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Author : Zhexian Wan
language : en
Publisher:
Release Date : 1992

Introduction To Abstract And Linear Algebra written by Zhexian Wan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Algebra, Abstract categories.

It is known that linear algebra is a useful tool in engineering but, since the middle of this century, abstract linear algebra has also found more and more applications. For instance, finite fields play a prominent role in coding theory and ring theory is the foundation of linear systems over rings. Both linear and abstract algebra should now be in the curriculum of undergraduate engineering students. This introductory book on algebra aims to provide the basic material for such a course. It also constitutes a solid algebraic basis for the non-specialists who wish to become specialists in, for example, coding theory, cryptography and linear systems theory.

Linear Algebra As An Introduction To Abstract Mathematics

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Author : Bruno Nachtergaele
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-11-30

Linear Algebra As An Introduction To Abstract Mathematics written by Bruno Nachtergaele and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-30 with Mathematics categories.

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.

Linear Algebra

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Author : Robert J. Valenza
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Linear Algebra written by Robert J. Valenza 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 2012-12-06 with Mathematics categories.

Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.