Algebraic Structure and Matrices Book 2
£27.99
 Author: E. A. Maxwell
 Date Published: June 2009
 availability: Available
 format: Paperback
 isbn: 9780521109055
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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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×Product details
 Date Published: June 2009
 format: Paperback
 isbn: 9780521109055
 length: 336 pages
 dimensions: 216 x 140 x 19 mm
 weight: 0.43kg
 availability: Available
Table of Contents
Preface
Introduction
Bibliography
Part I. Algebraic Structure:
1. Oneprocess algebra
2. Neutral elements and inverse operations
3. The group structure
4. Euclidean spaces
5. Twoprocess algebra: vector spaces
6. Twoprocess algebra: single set, rings and fields
7. Subsets
8. Theory of numbers: congruences
9. Modules of integers
10. Polynomial forms
Part II. Matrices:
11. Matrices and mappings
12. The elementary manipulation of matrices
13. Matrices of orders 2 and 3
14. Partitioned matrices
15. Mappings and vector spaces
16. Linear equations: rank
Part III. Introduction to more Advanced Work:
17. Quadratic forms: eigenvectors
18. Eigenvalues and eigenvectors: special matrices
19. Some abstract conceptions
20. Some matrix groups
Index.
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