{"product_id":"how-to-count-robert-a-beeler-9783319138435","title":"How to Count: An Introduction to Combinatorics and Its Applications","description":"Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In particular, the book places special emphasis the Principle of Inclusion and Exclusion and the Multiplication Principle. To this end, exercise sets are included at the end of every section, ranging from simple computations (evaluate a formula for a given set of values) to more advanced proofs. The exercises are designed to test students' understanding of new material, while reinforcing a working mastery of the key concepts previously developed in the book. Intuitive descriptions for many abstract techniques are included. Students often struggle with certain topics, such as generating functions, and this intuitive approach to the problem is helpful in their understanding. When possible, the book introduces concepts using combinatorial methods (as opposed to induction or algebra) to prove identities. Students are also asked to prove identities using combinatorial methods as part of their exercises. These methods have several advantages over induction or algebra.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Robert A. Beeler\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 331913843X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783319138435\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/27\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 361\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.56lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.88d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 09\/01\/2015","brand":"Robert A. Beeler","offers":[{"title":"Hardcover","offer_id":45933989658879,"sku":"9783319138435","price":64.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_2c29c25c-554e-43e8-9951-d8d545b51cd9.jpg?v=1721790080","url":"https:\/\/www.whiterainbookhouse.com\/products\/how-to-count-robert-a-beeler-9783319138435","provider":"WR Book House","version":"1.0","type":"link"}