{"product_id":"analytic-combinatorics-in-several-variables-hardback-9781108836623","title":"Analytic Combinatorics in Several Variables (Hardback) 9781108836623","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAnalytic Combinatorics in Several Variables\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eIntroduces the theory of multivariate generating functions, with new exercises, computational examples, and a conceptual overview chapter.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRobin Pemantle (Author), Mark C. Wilson (Author), Stephen Melczer (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108836623, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 15 February 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e592 pages\u003cbr\u003e23.6 x 15.8 x 3.7 cm, 1.02 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'This book is an invaluable resource that is certain to have dramatic impact on research and teaching in this rapidly developing area of mathematics. The first edition broke new ground; this edition prepares the field for others to harvest new knowledge with important applications in many scientific disciplines.' Robert Sedgewick, Princeton University\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eDiscrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic machinery to recover asymptotics of multivariate sequences from their generating functions, using multivariate methods that rely on a combination of analytic, algebraic, and topological tools. The resulting theory of analytic combinatorics in several variables is put to use in diverse applications from mathematics, combinatorics, computer science, and the natural sciences. This new edition is even more accessible to graduate students, with many more exercises, computational examples with Sage worksheets to illustrate the main results, updated background material, additional illustrations, and a new chapter providing a conceptual overview.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Combinatorial Enumeration: 1. Introduction\u003cbr\u003e 2. Generating functions\u003cbr\u003e 3. Univariate asymptotics\u003cbr\u003e Part II. Mathematical Background: 4. Fourier–Laplace integrals in one variable\u003cbr\u003e 5. Multivariate Fourier–Laplace integrals\u003cbr\u003e 6. Laurent series, amoebas, and convex geometry\u003cbr\u003e Part III. Multivariate Enumeration: 7. Overview of analytic methods for multivariate generating functions\u003cbr\u003e 8. Effective computations and ACSV\u003cbr\u003e 9. Smooth point asymptotics\u003cbr\u003e 10. Multiple point asymptotics\u003cbr\u003e 11. Cone point asymptotics\u003cbr\u003e 12. Combinatorial applications\u003cbr\u003e 13. Challenges and extensions\u003cbr\u003e Appendices: A. Integration on manifolds\u003cbr\u003e B. Algebraic topology\u003cbr\u003e C. Residue forms and classical Morse theory\u003cbr\u003e D. Stratification and stratified Morse theory\u003cbr\u003e References\u003cbr\u003e Author index\u003cbr\u003e Subject index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Discrete mathematics [\u003ca title=\"See our other books on Discrete mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Discrete%20mathematics%20%5BPBD%5D%22\"\u003ePBD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52501431746840,"sku":"9781108836623","price":60.28,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781108836623i.jpg?v=1786238291","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/analytic-combinatorics-in-several-variables-hardback-9781108836623","provider":"Freshly Printed Books","version":"1.0","type":"link"}