Elements Of Linear And Multilinear Algebra
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Elements Of Linear And Multilinear Algebra
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Author : John M Erdman
language : en
Publisher: World Scientific
Release Date : 2020-12-22
Elements Of Linear And Multilinear Algebra written by John M Erdman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-22 with Mathematics categories.
This set of notes is an activity-oriented introduction to linear and multilinear algebra. The great majority of the most elementary results in these subjects are straightforward and can be verified by the thoughtful student. Indeed, that is the main point of these notes — to convince the beginner that the subject is accessible. In the material that follows there are numerous indicators that suggest activity on the part of the reader: words such as 'proposition', 'example', 'theorem', 'exercise', and 'corollary', if not followed by a proof (and proofs here are very rare) or a reference to a proof, are invitations to verify the assertions made.These notes are intended to accompany an (academic) year-long course at the advanced undergraduate or beginning graduate level. (With judicious pruning most of the material can be covered in a two-term sequence.) The text is also suitable for a lecture-style class, the instructor proving some of the results while leaving others as exercises for the students.This book has tried to keep the facts about vector spaces and those about inner product spaces separate. Many beginning linear algebra texts conflate the material on these two vastly different subjects.
Advanced Linear Algebra
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Author : Nicholas Loehr
language : en
Publisher: CRC Press
Release Date : 2014-04-10
Advanced Linear Algebra written by Nicholas Loehr and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-10 with Mathematics categories.
Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra,
An Introduction To Elements Of Multilinear Algebra
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Author : Ali R. Amir-Moéz
language : en
Publisher:
Release Date : 1968
An Introduction To Elements Of Multilinear Algebra written by Ali R. Amir-Moéz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Algebras, Linear categories.
Multilinear Algebra
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Author : Werner Greub
language : en
Publisher:
Release Date : 1978-08-24
Multilinear Algebra written by Werner Greub and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-08-24 with Algebras, Linear categories.
Multilinear Algebra By W H Greub
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Author : Werner Hildbert Greub
language : en
Publisher: Springer
Release Date : 1967
Multilinear Algebra By W H Greub written by Werner Hildbert Greub and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
An Introduction To Elements Of Multilinear Algebra
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Author : Ali R. Amir-Moez
language : en
Publisher:
Release Date : 1975
An Introduction To Elements Of Multilinear Algebra written by Ali R. Amir-Moez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Multilinear Algebra
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Author : Russell Merris
language : en
Publisher: CRC Press
Release Date : 1997-08-20
Multilinear Algebra written by Russell Merris and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-20 with Mathematics categories.
The prototypical multilinear operation is multiplication. Indeed, every multilinear mapping can be factored through a tensor product. Apart from its intrinsic interest, the tensor product is of fundamental importance in a variety of disciplines, ranging from matrix inequalities and group representation theory, to the combinatorics of symmetric func
Matrix Calculus And Kronecker Product A Practical Approach To Linear And Multilinear Algebra 2nd Edition
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Author : Willi-hans Steeb
language : en
Publisher: World Scientific Publishing Company
Release Date : 2011-03-24
Matrix Calculus And Kronecker Product A Practical Approach To Linear And Multilinear Algebra 2nd Edition written by Willi-hans Steeb 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 2011-03-24 with Mathematics categories.
This book provides a self-contained and accessible introduction to linear and multilinear algebra. Besides the standard techniques for linear and multilinear algebra many advanced topics are included. Emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, computer graphics, fractals, quantum mechanics and quantum computing. All these fields are covered in detail. A key feature of the book is the many detailed worked-out examples. Computer algebra applications are also given. Each chapter includes useful exercises. The book is well suited for pure and applied mathematicians as well as theoretical physicists and engineers.New topics added to the second edition are: braid-like relations, Clebsch-Gordan expansion, nearest Kronecker product, Clifford and Pauli group, universal enveloping algebra, computer algebra and Kronecker product.
Linear Algebra And Group Representations Multilinear Algebra And Group Representations
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Author : Ronald Shaw
language : en
Publisher:
Release Date : 1982
Linear Algebra And Group Representations Multilinear Algebra And Group Representations written by Ronald Shaw and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Advanced Linear Algebra With An Introduction To Module Theory
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Author : Shou-te Chang
language : en
Publisher: World Scientific
Release Date : 2024-01-24
Advanced Linear Algebra With An Introduction To Module Theory written by Shou-te Chang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-24 with Mathematics categories.
Certain essential concepts in linear algebra cannot be fully explained in a first course. This is due to a lack of algebraic background for most beginning students. On the other hand, these concepts are taken for granted in most of the mathematical courses at graduate school level. This book will provide a gentle guidance for motivated students to fill the gap. It is not easy to find other books fulfilling this purpose. This book is a suitable textbook for a higher undergraduate course, as well as for a graduate student's self-study. The introduction of set theory and modules would be of particular interest to students who aspire to becoming algebraists.There are three parts to this book. One is to complete the discussion of bases and dimension in linear algebra. In a first course, only the finite dimensional vector spaces are treated, and in most textbooks, it will assume the scalar field is the real number field. In this book, the general case of arbitrary dimension and arbitrary scalar fields is examined. To do so, an introduction to cardinality and Zorn's lemma in set theory is presented in detail. The second part is to complete the proof of canonical forms for linear endomorphisms and matrices. For this, a generalization of vector spaces, and the most fundamental results regarding modules are introduced to readers. This will provide the natural entrance into a full understanding of matrices. Finally, tensor products of vector spaces and modules are briefly discussed.