{"product_id":"combinatorics-of-compositions-and-words-9781420072679","title":"Combinatorics of Compositions and Words","description":"\u003cp\u003e • Author(s): Silvia Heubach | Toufik Mansour\u003cbr\u003e • Publisher: CRC Press\u003cbr\u003e • Publisher Imprint: Chapman and Hall\/CRC\u003cbr\u003e • BISAC: Combinatorics\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eA One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Directions\u003c\/em\u003e \u003c\/p\u003e\u003cp\u003eFocusing on a very active area of research in the last decade, \u003cstrong\u003eCombinatorics of Compositions and Words\u003c\/strong\u003e provides an introduction to the methods used in the combinatorics of pattern avoidance and pattern enumeration in compositions and words. It also presents various tools and approaches that are applicable to other areas of enumerative combinatorics.\u003c\/p\u003e\u003cp\u003eAfter a historical perspective on research in the area, the text introduces techniques to solve recurrence relations, including iteration and generating functions. It then focuses on enumeration of basic statistics for compositions. The text goes on to present results on pattern avoidance for subword, subsequence, and generalized patterns in compositions and then applies these results to words. The authors also cover automata, the ECO method, generating trees, and asymptotic results via random compositions and complex analysis. \u003c\/p\u003e\u003cp\u003eHighlighting both established and new results, this book explores numerous tools for enumerating patterns in compositions and words. It includes a comprehensive bibliography and incorporates the use of the computer algebra systems Maple(TM) and \u003cem\u003eMathematica\u003c\/em\u003e(R), as well as C++ to perform computations.\u003c\/p\u003e","brand":"CRC Press","offers":[{"title":"Hardcover","offer_id":46931691602071,"sku":"9781420072679","price":15413.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781420072679.webp?v=1771615446","url":"https:\/\/atlanticbooks.com\/products\/combinatorics-of-compositions-and-words-9781420072679","provider":"Atlantic Books","version":"1.0","type":"link"}