{"product_id":"algebraic-structure-and-matrices-book-2-paperback-9780521109055","title":"Algebraic Structure and Matrices Book 2 (Paperback \/ softback) 9780521109055","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAlgebraic Structure and Matrices Book 2\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book, which was originally published in 1965, shows the student meeting modern algebra for the first time what it is all about.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eE. A. Maxwell (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521109055, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 18 June 2009\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e336 pages\u003cbr\u003e21.6 x 14 x 1.9 cm, 0.43 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Introduction\u003cbr\u003e Bibliography\u003cbr\u003e Part I. Algebraic Structure: 1. One-process algebra\u003cbr\u003e 2. Neutral elements and inverse operations\u003cbr\u003e 3. The group structure\u003cbr\u003e 4. Euclidean spaces\u003cbr\u003e 5. Two-process algebra: vector spaces\u003cbr\u003e 6. Two-process algebra: single set, rings and fields\u003cbr\u003e 7. Subsets\u003cbr\u003e 8. Theory of numbers: congruences\u003cbr\u003e 9. Modules of integers\u003cbr\u003e 10. Polynomial forms\u003cbr\u003e Part II. Matrices: 11. Matrices and mappings\u003cbr\u003e 12. The elementary manipulation of matrices\u003cbr\u003e 13. Matrices of orders 2 and 3\u003cbr\u003e 14. Partitioned matrices\u003cbr\u003e 15. Mappings and vector spaces\u003cbr\u003e 16. Linear equations: rank\u003cbr\u003e Part III. Introduction to more Advanced Work: 17. Quadratic forms: eigenvectors\u003cbr\u003e 18. Eigenvalues and eigenvectors: special matrices\u003cbr\u003e 19. Some abstract conceptions\u003cbr\u003e 20. Some matrix groups\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006427287832,"sku":"9780521109055","price":33.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521109055i.jpg?v=1694976222","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/algebraic-structure-and-matrices-book-2-paperback-9780521109055","provider":"Freshly Printed Books","version":"1.0","type":"link"}