{"product_id":"theory-of-matroids-paperback-9780521092029","title":"Theory of Matroids (Paperback \/ softback) 9780521092029","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eTheory of Matroids\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eMatroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eNeil White (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521092029, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 4 December 2008\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e340 pages\u003cbr\u003e22.9 x 15.2 x 1.5 cm, 0.38 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\"\u003eThe theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. This book is a primer in the basic axioms and constructions of matroids. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions and an appendix on cryptomorphisms. The authors have concentrated on giving a lucid exposition of the individual topics; explanations of theorems are preferred to complete proofs and original work is thoroughly referenced. In addition, exercises are included for each topic.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Examples and Basic Concepts Henry Crapo\u003cbr\u003e 2. Axiom Systems Giorgio Nicoletti and Neil White\u003cbr\u003e 3. Lattices Ulrich Faigle\u003cbr\u003e 4. Basis-Exchange Properties Joseph P. S. Kung\u003cbr\u003e 5. Orthogonality Henry Crapo\u003cbr\u003e 6. Graphs and Series-Parallel Networks James Oxley\u003cbr\u003e 7. Constructions Thomas Brylawski\u003cbr\u003e 8. Strong Maps Joseph P. S. Kung\u003cbr\u003e 9. Weak Maps Joseph P. S. Kung and Hein Q. Nguyen\u003cbr\u003e 10. Semimodular Functions Hein Q. Nguyen.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\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":46006380658968,"sku":"9780521092029","price":64.79,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521092029i_40c5fc02-1a6a-4979-ab34-c702d37f195d.jpg?v=1694970463","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/theory-of-matroids-paperback-9780521092029","provider":"Freshly Printed Books","version":"1.0","type":"link"}