Finite Dimensional Multilinear Algebra
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Finite Dimensional Multilinear Algebra
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Author : Marvin Marcus
language : en
Publisher:
Release Date : 1973
Finite Dimensional Multilinear Algebra written by Marvin Marcus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Finite Dimensional Multilinear Algebra
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Author : Marvin Marcus
language : en
Publisher:
Release Date : 1975
Finite Dimensional Multilinear Algebra written by Marvin Marcus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Algebras, Linear categories.
Finite Dimensional Multilinear Algebra
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Author : Marvin Marcus
language : en
Publisher:
Release Date : 1973
Finite Dimensional Multilinear Algebra written by Marvin Marcus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Finite Dimensional Multilinear Algebra Tensor Spaces
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Author : Marvin Marcus
language : en
Publisher:
Release Date : 1973
Finite Dimensional Multilinear Algebra Tensor Spaces written by Marvin Marcus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Algebras, Linear categories.
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.
Finite Dimensional Multilinear Algebra
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Author :
language : en
Publisher:
Release Date :
Finite Dimensional Multilinear Algebra written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Multilinear Algebra
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Author : Werner Greub
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Multilinear Algebra written by Werner Greub 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.
This book is a revised version of the first edition and is intended as a Linear Algebra sequel and companion volume to the fourth edition of (Graduate Texts in Mathematics 23). As before, the terminology and basic results of Linear Algebra are frequently used without refer~nce. In particular, the reader should be familiar with Chapters 1-5 and the first part of Chapter 6 of that book, although other sections are occasionally used. In this new version of Multilinear Algebra, Chapters 1-5 remain essen tially unchanged from the previous edition. Chapter 6 has been completely rewritten and split into three (Chapters 6, 7, and 8). Some of the proofs have been simplified and a substantial amount of new material has been added. This applies particularly to the study of characteristic coefficients and the Pfaffian. The old Chapter 7 remains as it stood, except that it is now Chapter 9. The old Chapter 8 has been suppressed and the material which it con tained (multilinear functions) has been relocated at the end of Chapters 3, 5, and 9. The last two chapters on Clifford algebras and their representations are completely new. In view of the growing importance of Clifford algebras and the relatively few references available, it was felt that these chapters would be useful to both mathematicians and physicists.
Multilinear Algebra
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Author : Werner H. Greub
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Multilinear Algebra written by Werner H. Greub 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.
This book is built around the material on multilinear algebra which in chapters VI to IX of the second edition of Linear Algebra was included but exc1uded from the third edition. It is designed to be a sequel and companion volume to the third edition of Linear Algebra. In fact, the terminology and basic results of that book are frequently used without reference. In particular, the reader should be familiar with chapters I to V and the first part of chapter VI although other sections are occasionally used. The essential difference between the present treatment and that of the second edition lies in the full exploitation of universal properties which eliminates the restrietion to vector spaces of finite dimension. Chapter I contains standard material on multilinear mappings and the tensor product of vector spaces. These results are extended in Chapter 11 to vector spaces with additional structure, such as algebras and differ ential spaces. The fundamental concept of "tensor product" is used in Chapter 111 to construct the tensor algebra over a given vector space. In the next chapter the link is provided between tensor algebra on the one hand and exterior and symmetrie tensor algebra on the other. Chapter V contains material on exterior algebra which is developed in considerable depth. Exterior algebra techniques are used in the followmg chapter as a powerful tool to obtain matrix-free proofs of many classical theorems on linear transformation.
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.
Linear Algebra
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Author : Werner H. Greub
language : en
Publisher: Springer
Release Date : 1967-04-26
Linear Algebra written by Werner H. Greub and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967-04-26 with Mathematics categories.
The major change between the second and third edition is the separation of linear and multilinear algebra into two different volumes as well as the incorporation of a great deal of new material. However, the essential character of the book remains the same; in other words, the entire presentation continues to be based on an axiomatic treatment of vector spaces. In this first volume the restriction to finite dimensional vector spaces has been eliminated except for those results which do not hold in the infinite dimensional case. The restriction of the coefficient field to the real and complex numbers has also been removed and except for chapters VII to XI, § 5 of chapter I and § 8, chapter IV we allow any coefficient field of characteristic zero. In fact, many of the theorems are valid for modules over a commutative ring. Finally, a large number of problems of different degree of difficulty has been added. Chapter I deals with the general properties of a vector space. The topology of a real vector space of finite dimension is axiomatically characterized in an additional paragraph.