An Introduction to Linear Algebra and Tensors Paperback - 2010
by Akivis, M. A.; Goldberg, V. V
- Used
- Acceptable
- Paperback
Description
NZ$13.62
FREE Shipping to USA
Standard delivery: 4 to 8 days
More Shipping Options
Ships from ThriftBooks (Washington, United States)
Details
- Title An Introduction to Linear Algebra and Tensors
- Author Akivis, M. A.; Goldberg, V. V
- Binding Paperback
- Edition [ Edition: Revis
- Condition Used - Acceptable
- Pages 192
- Volumes 1
- Language ENG
- Publisher Dover Publications, New York
- Date 2010
- Illustrated Yes
- Features Bibliography, Illustrated
- Bookseller's Inventory # G0486635457I5N00
- ISBN 9780486635453 / 0486635457
- Weight 0.46 lbs (0.21 kg)
- Dimensions 8.24 x 5.62 x 0.39 in (20.93 x 14.27 x 0.99 cm)
- Library of Congress Catalog Number 77078589
- Dewey Decimal Code 512.5
About ThriftBooks Washington, United States
Biblio member since 2018
From the largest selection of used titles, we put quality, affordable books into the hands of readers
From the rear cover
The present book, a valuable addition to the English-language literature on linear algebra and tensors, constitutes a lucid, eminently readable and completely elementary introduction to this field of mathematics. A special merit of the book is its free use of tensor notation, in particular the Einstein summation convention. The treatment is virtually self-contained. In fact, the mathematical background assumed on the part of the reader hardly exceeds a smattering of calculus and a casual acquaintance with determinants.
The authors begin with linear spaces, starting with basic concepts and ending with topics in analytic geometry. They then treat multilinear forms and tensors (linear and bilinear forms, general definition of a tensor, algebraic operations on tensors, symmetric and antisymmetric tensors, etc.), and linear transformation (again basic concepts, the matrix and multiplication of linear transformations, inverse transformations and matrices, groups and subgroups, etc.). The last chapter deals with further topics in the field: eigenvectors and eigenvalues, matrix polynomials and the Hamilton-Cayley theorem, reduction of a quadratic form to canonical form, representation of a nonsingular transformation, and more. Each individual section -- there are 25 in all -- contains a problem set, making a total of over 250 problems, all carefully selected and matched. Hints and answers to most of the problems can be found at the end of the book.
Dr. Silverman has revised the text and numerous pedagogical and mathematical improvements, and restyled the language so that it is even more readable. With its clear exposition, many relevant and interesting problems, ample illustrations, index and bibliography, this book will be useful in the classroom or for self-study as an excellent introduction to the important subjects of linear algebra and tensors.
Unabridged and unaltered republication of revised English edition originally titled Introductory Linear Algebra, 1972.
The authors begin with linear spaces, starting with basic concepts and ending with topics in analytic geometry. They then treat multilinear forms and tensors (linear and bilinear forms, general definition of a tensor, algebraic operations on tensors, symmetric and antisymmetric tensors, etc.), and linear transformation (again basic concepts, the matrix and multiplication of linear transformations, inverse transformations and matrices, groups and subgroups, etc.). The last chapter deals with further topics in the field: eigenvectors and eigenvalues, matrix polynomials and the Hamilton-Cayley theorem, reduction of a quadratic form to canonical form, representation of a nonsingular transformation, and more. Each individual section -- there are 25 in all -- contains a problem set, making a total of over 250 problems, all carefully selected and matched. Hints and answers to most of the problems can be found at the end of the book.
Dr. Silverman has revised the text and numerous pedagogical and mathematical improvements, and restyled the language so that it is even more readable. With its clear exposition, many relevant and interesting problems, ample illustrations, index and bibliography, this book will be useful in the classroom or for self-study as an excellent introduction to the important subjects of linear algebra and tensors.
Unabridged and unaltered republication of revised English edition originally titled Introductory Linear Algebra, 1972.
