An Introduction to Linear Algebra and Tensors (Dover Books on Mathematics)

Book Details

• Author: M.A. Akivis

• Brand: Dover

• Edition: New

• Binding: Paperback

• Format: Illustrated

• Number of Pages: 167

• Release Date: 20-09-2010

• ISBN: 9780486635453

• Languages: English

• Package Dimensions: 8.4 x 5.5 x 0.5 inches

About The Book

Introduction to Linear Algebra and Tensors by M.A. Akivis is a valuable addition to the English-language literature on linear algebra and tensors, providing a lucid and accessible introduction to the subject. This book is particularly notable for its use of tensor notation, including the Einstein summation convention, making it an excellent starting point for those new to these mathematical concepts.

The book begins with fundamental topics in linear spaces and progresses to more complex areas such as multilinear forms, tensors, and linear transformations. Key concepts covered include linear and bilinear forms, symmetric and antisymmetric tensors, matrix operations, and groups and subgroups. The final chapter delves into more advanced topics, such as eigenvectors and eigenvalues, matrix polynomials, the Hamilton-Cayley theorem, and canonical form reduction.

With 25 sections, each featuring a set of problems (totaling over 250 carefully selected questions), the book provides a hands-on approach to learning. Hints and solutions for most problems are provided at the end, making it suitable for both classroom study and self-guided learning.

The revised edition enhances the clarity of the original text with numerous pedagogical improvements, making this book an invaluable resource for students or anyone wishing to learn the foundational principles of linear algebra and tensors.