{"product_id":"a-book-of-proofs-adam-j-wick-9798262342150","title":"A Book of Proofs: Math Olympiad Contest Problems","description":"The study of proof forms the foundation of mathematics. Proofs provide the framework through which mathematical statements are justified, validated, and connected to one another. Without proof, mathematics would be a collection of isolated facts; with proof, it becomes a coherent and rigorous discipline. \u003cp\u003e\u003c\/p\u003eThis book, \u003ci\u003eA Book of Proof\u003c\/i\u003e, is intended as an introduction to the methods of mathematical reasoning. It begins with the fundamental concepts of logic and sets, then proceeds to the principal techniques of proof: direct proof, proof by contrapositive, proof by contradiction, and the use of counterexamples. Special attention is given to mathematical induction, a powerful method essential for establishing results about sequences, inequalities, and properties of integers. \u003cp\u003e\u003c\/p\u003eThe book is designed for students encountering proof for the first time, particularly those transitioning from computational mathematics to more abstract study. The exposition emphasizes clarity and precision while also offering numerous examples to illustrate the concepts. Each chapter concludes with a set of exercises, and selected solutions are provided to support independent learning. \u003cp\u003e\u003c\/p\u003eIt is my hope that this book will not only serve as a practical introduction to mathematical proof, but also foster an appreciation for the elegance and logical structure that proofs bring to mathematics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Adam J. Wick\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9798262342150\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Independently Published\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/26\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 160\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.42lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.50h x 5.50w x 0.37d","brand":"Adam J. Wick","offers":[{"title":"Paperback","offer_id":47931125530879,"sku":"9798262342150","price":20.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d6236e6a-e0d1-4ea8-a153-e4854a54e856.jpg?v=1766346622","url":"https:\/\/www.whiterainbookhouse.com\/products\/a-book-of-proofs-adam-j-wick-9798262342150","provider":"WR Book House","version":"1.0","type":"link"}