{"product_id":"introduction-to-combinatorics-9781032476995","title":"Introduction to Combinatorics","description":"\u003cp\u003e • Author(s): Walter D. Wallis\u003cbr\u003e • Publisher: Taylor \u0026amp; Francis\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Combinatorics\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eWhat Is Combinatorics Anyway?\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eBroadly speaking, combinatorics is the branch of mathematics dealing\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003ewith different ways of selecting objects from a set or arranging objects. It\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003etries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be chosen with a particular set of properties; and structural \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003equestions: does there exist a selection or arrangement of objects with a \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eparticular set of properties?\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe authors have presented a text for students at all levels of preparation.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eFor some, this will be the first course where the students see several real proofs. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eOthers will have a good background in linear algebra, will have completed the calculus \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003estream, and will have started abstract algebra. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe text starts by briefly discussing several examples of typical combinatorial problems\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eto give the reader a better idea of what the subject covers. The next\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003echapters explore enumerative ideas and also probability. It then moves on to\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eenumerative functions and the relations between them, and generating functions and recurrences., \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eImportant families of functions, or numbers and then theorems are presented. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eBrief introductions to computer algebra and group theory come next. Structures of particular \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003einterest in combinatorics: posets, graphs, codes, Latin squares, and experimental designs follow. The\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eauthors conclude with further discussion of the interaction between linear algebra\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eand combinatorics.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eFeatures\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cul\u003e \u003cp\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e \u003cli\u003eTwo new chapters on probability and posets. \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e \u003cli\u003eNumerous new illustrations, exercises, and problems.\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e \u003cli\u003eMore examples on current technology use \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e \u003cli\u003eA thorough focus on accuracy\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e \u003cli\u003eThree appendices: sets, induction and proof techniques, vectors and matrices, and biographies with historical notes, \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e \u003cli\u003eFlexible use of MapleTM and MathematicaTM\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003c\/ul\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Paperback","offer_id":45242286669975,"sku":"9781032476995","price":4189.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781032476995.webp?v=1769231737","url":"https:\/\/atlanticbooks.com\/products\/introduction-to-combinatorics-9781032476995","provider":"Atlantic Books","version":"1.0","type":"link"}