Algebraic Structure and Matrices Book 2

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Paperback | 18 June 2009

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336 Pages

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21.59 x 13.97 x 1.91

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This book was originally published in 1965. Dr Maxwell relates the ideas being introduced into the teaching of elementary university and advanced school algebra to the topics and methods with which teachers and students are already familiar and which are treated in the author's Advanced Algebra, Part I. Dr Maxwell shows the student meeting modern algebra for the first time what it is all about and leads those who will be taking the subject further to a firm grasp of the details that will come later in their course. From a discussion of algebraic systems with a single operation, he introduces the idea of a group and goes on to survey other algebraic structures: vector spaces, fields and rings. The second section is on linear algebra, mainly in terms of matrices and the solution of linear equations. A final section introduces the reader to more advanced concepts, including eigenvectors and eigenvalues and their use for quadratic forms. There is a large number of examples, with answers.

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Non-Fiction Mathematics Algebra

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Non-Fiction Mathematics Algebra

Preface
Introduction
Bibliography
Algebraic Structure
One-process algebra
Neutral elements and inverse operations
The group structure
Euclidean spaces
Two-process algebra: vector spaces
Two-process algebra: single set, rings and fields
Subsets
Theory of numbers: congruences
Modules of integers
Polynomial forms
Matrices
Matrices and mappings
The elementary manipulation of matrices
Matrices of orders 2 and 3
Partitioned matrices
Mappings and vector spaces
Linear equations: rank
Introduction to more Advanced Work
Quadratic forms: eigenvectors
Eigenvalues and eigenvectors: special matrices
Some abstract conceptions
Some matrix groups
Index
Table of Contents provided by Publisher. All Rights Reserved.

Algebraic Structure and Matrices Book 2

At a Glance

Paperback

Shipping

How to return your order

Defective items

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