{"product_id":"combinatorics-hardback-9780471262961","title":"Combinatorics (Hardback) 9780471262961","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eCombinatorics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eRussell Merris (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471262961, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 28 August 2003\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e576 pages, Charts: 4 B\u0026amp;W, 0 Color; Photos: 1 B\u0026amp;W, 0 Color; Drawings: 125 B\u0026amp;W, 0 Color; Tables: 41 B\u0026amp;W, 0 Color; Graphs: 16 B\u0026amp;W, 0 Color\u003cbr\u003e24.1 x 16 x 3.1 cm, 0.93 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e“…broad and interesting…” (\u003ci\u003eZentralblatt Math\u003c\/i\u003e, Vol.1035, No.10, 2004)  \u003cp\u003e“...engagingly written...a robust learning tool...” (\u003ci\u003eAmerican Mathematical Monthly\u003c\/i\u003e, March 2004)\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eA mathematical gem–freshly cleaned and polished  \u003cp\u003eThis book is intended to be used as the text for a first course in combinatorics. the text has been shaped by two goals, namely, to make complex mathematics accessible to students with a wide range of abilities, interests, and motivations; and to create a pedagogical tool, useful to the broad spectrum of instructors who bring a variety of perspectives and expectations to such a course.\u003c\/p\u003e \u003cp\u003eFeatures retained from the first edition:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eLively and engaging writing style\u003c\/li\u003e \u003cli\u003eTimely and appropriate examples\u003c\/li\u003e \u003cli\u003eNumerous well-chosen exercises\u003c\/li\u003e \u003cli\u003eFlexible modular format\u003c\/li\u003e \u003cli\u003eOptional sections and appendices\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eHighlights of Second Edition enhancements:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eSmoothed and polished exposition, with a sharpened focus on key ideas\u003c\/li\u003e \u003cli\u003eExpanded discussion of linear codes\u003c\/li\u003e \u003cli\u003eNew optional section on algorithms\u003c\/li\u003e \u003cli\u003eGreatly expanded hints and answers section\u003c\/li\u003e \u003cli\u003eMany new exercises and examples\u003c\/li\u003e \u003c\/ul\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1 The Mathematics of Choice 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1. The Fundamental Counting Principle 2\u003c\/p\u003e \u003cp\u003e1.2. Pascal’s Triangle 10\u003c\/p\u003e \u003cp\u003e* 1.3. Elementary Probability 21\u003c\/p\u003e \u003cp\u003e* 1.4. Error-Correcting Codes 33\u003c\/p\u003e \u003cp\u003e1.5. Combinatorial Identities 43\u003c\/p\u003e \u003cp\u003e1.6. Four Ways to Choose 56\u003c\/p\u003e \u003cp\u003e1.7. The Binomial and Multinomial Theorems 66\u003c\/p\u003e \u003cp\u003e1.8. Partitions 76\u003c\/p\u003e \u003cp\u003e1.9. Elementary Symmetric Functions 87\u003c\/p\u003e \u003cp\u003e* 1.10. Combinatorial Algorithms 100\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2 The Combinatorics of Finite Functions 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1. Stirling Numbers of the Second Kind 117\u003c\/p\u003e \u003cp\u003e2.2. Bells, Balls, and Urns 128\u003c\/p\u003e \u003cp\u003e2.3. The Principle of Inclusion and Exclusion 140\u003c\/p\u003e \u003cp\u003e2.4. Disjoint Cycles 152\u003c\/p\u003e \u003cp\u003e2.5. Stirling Numbers of the First Kind 161\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3 Pólya’s Theory of Enumeration 175\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1. Function Composition 175\u003c\/p\u003e \u003cp\u003e3.2. Permutation Groups 184\u003c\/p\u003e \u003cp\u003e3.3. Burnside’s Lemma 194\u003c\/p\u003e \u003cp\u003e3.4. Symmetry Groups 206\u003c\/p\u003e \u003cp\u003e3.5. Color Patterns 218\u003c\/p\u003e \u003cp\u003e3.6. Pólya’s Theorem 228\u003c\/p\u003e \u003cp\u003e3.7. The Cycle Index Polynomial 241\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4 Generating Functions 253\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1. Difference Sequences 253\u003c\/p\u003e \u003cp\u003e4.2. Ordinary Generating Functions 268\u003c\/p\u003e \u003cp\u003e4.3. Applications of Generating Functions 284\u003c\/p\u003e \u003cp\u003e4.4. Exponential Generating Functions 301\u003c\/p\u003e \u003cp\u003e4.5. Recursive Techniques 320\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5 Enumeration in Graphs 337\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1. The Pigeonhole Principle 338\u003c\/p\u003e \u003cp\u003e* 5.2. Edge Colorings and Ramsey Theory 347\u003c\/p\u003e \u003cp\u003e5.3. Chromatic Polynomials 357\u003c\/p\u003e \u003cp\u003e* 5.4. Planar Graphs 372\u003c\/p\u003e \u003cp\u003e5.5. Matching Polynomials 383\u003c\/p\u003e \u003cp\u003e5.6. Oriented Graphs 394\u003c\/p\u003e \u003cp\u003e5.7. Graphic Partitions 408\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6 Codes and Designs 421\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1. Linear Codes 422\u003c\/p\u003e \u003cp\u003e6.2. Decoding Algorithms 432\u003c\/p\u003e \u003cp\u003e6.3. Latin Squares 447\u003c\/p\u003e \u003cp\u003e6.4. Balanced Incomplete Block Designs 461\u003c\/p\u003e \u003cp\u003eAppendix A1 Symmetric Polynomials 477\u003c\/p\u003e \u003cp\u003eAppendix A2 Sorting Algorithms 485\u003c\/p\u003e \u003cp\u003eAppendix A3 Matrix Theory 495\u003c\/p\u003e \u003cp\u003eBibliography 501\u003c\/p\u003e \u003cp\u003eHints and Answers to Selected Odd-Numbered Exercises 503\u003c\/p\u003e \u003cp\u003eIndex of Notation 541\u003c\/p\u003e \u003cp\u003eIndex 547\u003c\/p\u003e\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":"Wiley-Interscience","offers":[{"title":"Brand New","offer_id":52507208515864,"sku":"9780471262961","price":112.88,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780471262961.jpg?v=1786439736","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/combinatorics-hardback-9780471262961","provider":"Freshly Printed Books","version":"1.0","type":"link"}