Introduction To Abstract And Linear Algebra
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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
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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.
Linear Algebra As An Introduction To Abstract Mathematics
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Author : Isaiah Lankham
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-11-30
Linear Algebra As An Introduction To Abstract Mathematics written by Isaiah Lankham 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.
Introduction To Abstract And Linear Algebra
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Author : Zhe-xian Wan
language : en
Publisher:
Release Date : 1992
Introduction To Abstract And Linear Algebra written by Zhe-xian 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.
Introduction To Abstract Algebra Third Edition
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Author : T.A. Whitelaw
language : en
Publisher: CRC Press
Release Date : 1995-05-15
Introduction To Abstract Algebra Third Edition written by T.A. Whitelaw and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-15 with Mathematics categories.
The first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.
Linear Algebra
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Author : Robert J. Valenza
language : en
Publisher: Springer
Release Date : 1999-02-01
Linear Algebra written by Robert J. Valenza and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-01 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.
Introduction To Abstract Algebra
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Author : W. Keith Nicholson
language : en
Publisher: John Wiley & Sons
Release Date : 2012-03-20
Introduction To Abstract Algebra written by W. Keith Nicholson 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 2012-03-20 with Mathematics categories.
Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text. The Fourth Edition features important concepts as well as specialized topics, including: The treatment of nilpotent groups, including the Frattini and Fitting subgroups Symmetric polynomials The proof of the fundamental theorem of algebra using symmetric polynomials The proof of Wedderburn's theorem on finite division rings The proof of the Wedderburn-Artin theorem Throughout the book, worked examples and real-world problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book's exercises. Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upper-undergraduate and beginning-graduate levels. The book also serves as a valuable reference and self-study tool for practitioners in the fields of engineering, computer science, and applied mathematics.
Introduction To Abstract Algebra Third Edition
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Author : T.A. Whitelaw
language : en
Publisher: Routledge
Release Date : 2020-04-14
Introduction To Abstract Algebra Third Edition written by T.A. Whitelaw and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-14 with Mathematics categories.
The first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.
Introduction To Abstract Algebra
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Author : Louis Shapiro
language : en
Publisher: McGraw-Hill Companies
Release Date : 1975
Introduction To Abstract Algebra written by Louis Shapiro and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
An Introduction To Abstract Algebra
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Author : John W. Lawrence
language : en
Publisher: Cambridge University Press
Release Date : 2021-04-15
An Introduction To Abstract Algebra written by John W. Lawrence and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-15 with Mathematics categories.
A lucid guide to abstract algebra, this comprehensive textbook provides in depth coverage for upper undergraduate students.