📖[PDF] An Introduction to Linear Algebra and Tensors by M. A. Akivis | Perlego
The online library for learning
Read this book and thousands more for a fair monthly price.
Join perlego now to get access to over 650,000 books
Join perlego now to get access to over 650,000 books
Join perlego now to get access to over 650,000 books
Join perlego now to get access to over 650,000 books
An Introduction to Linear Algebra and Tensors
An Introduction to Linear Algebra and Tensors
📖 Book - PDF

An Introduction to Linear Algebra and Tensors

M. A. Akivis, V. V. Goldberg, Richard A. Silverman
shareBook
Share book
pages
192 pages
language
English
format
ePUB (mobile friendly) and PDF
availableOnMobile
Available on iOS & Android
📖 Book - PDF

An Introduction to Linear Algebra and Tensors

M. A. Akivis, V. V. Goldberg, Richard A. Silverman
Book details
Table of contents

About This Book

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 ploynomials 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.

Read More

Information

Publisher
Dover Publications
Year
2012
ISBN
9780486148786
Topic
Mathematics
Subtopic
Linear Algebra

Table of contents