{"product_id":"9789814725293","title":"Combinatorial Identities For Stirling Numbers: The Unpublished Notes Of H W Gould: The Unpublished Notes of H W Gould","description":"\u003cp\u003eThis book is a unique work which provides an in-depth exploration into the mathematical expertise, philosophy, and knowledge of H W Gould. It is written in a style that is accessible to the reader with basic mathematical knowledge, and yet contains material that will be of interest to the specialist in enumerative combinatorics. This book begins with exposition on the combinatorial and algebraic techniques that Professor Gould uses for proving binomial identities. These techniques are then applied to develop formulas which relate Stirling numbers of the second kind to Stirling numbers of the first kind. Professor Gould's techniques also provide connections between both types of Stirling numbers and Bernoulli numbers. Professor Gould believes his research success comes from his intuition on how to discover combinatorial identities.\u003c\/p\u003e\u003cp\u003eThis book will appeal to a wide audience and may be used either as lecture notes for a beginning graduate level combinatorics class, or as a research supplement for the specialist in enumerative combinatorics.\u003c\/p\u003e\u003cp\u003eThis book is a unique work which provides an in-depth exploration into the mathematical expertise, philosophy, and knowledge of H W Gould. It is written in a style that is accessible to the reader with basic mathematical knowledge, and yet contains material that will be of interest to the specialist in enumerative combinatorics. This book begins with exposition on the combinatorial and algebraic techniques that Professor Gould uses for proving binomial identities. These techniques are then applied to develop formulas which relate Stirling numbers of the second kind to Stirling numbers of the first kind. Professor Gould's techniques also provide connections between both types of Stirling numbers and Bernoulli numbers. Professor Gould believes his research success comes from his intuition on how to discover combinatorial identities.\u003c\/p\u003e\u003cp\u003eThis book will appeal to a wide audience and may be used either as lecture notes for a beginning graduate level combinatorics class, or as a research supplement for the specialist in enumerative combinatorics.\u003c\/p\u003e\u003cb\u003eReadership:\u003c\/b\u003e Undergraduates, graduates and researchers interested in combinatorial and algebraic techniques.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eProfessor Gould is an acknowledged expert in the field of Stirling number identities\u003c\/li\u003e\n\u003cli\u003eFor the first time in print, this book collects Professor's Gould's vast knowledge on this subject in one accessible location\u003c\/li\u003e\n\u003cli\u003eThis book contains Professor Gould's unique approaches to discovering and proving binomial identities\u003c\/li\u003e\n\u003cli\u003eThis book contains many fully-worked detailed proofs of the identities found in H W Gould's \"Combinatorial Identities: A Standardized Set of Tables Listing 500 Binomial Coefficient Summations\"\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185626923248,"sku":"9789814725293","price":36.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814725293_p0.jpg?v=1763691294","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814725293","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}