{"product_id":"proof-techniques-haneul-choi-9798281226363","title":"Proof Techniques: The All in One Textbook","description":"\u003cp\u003e\u003cb\u003eUnlock the Language of Mathematics-One Proof at a Time\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eWhether you're an undergraduate navigating your first proof-based course, a graduate student honing rigorous reasoning, or a self-taught enthusiast craving mathematical mastery, this definitive textbook delivers the complete toolkit you need to \u003ci\u003ethink, write, and teach\u003c\/i\u003e proofs with confidence.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eWhat You'll Discover Inside\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e- \u003cb\u003e44 crystal-clear modules\u003c\/b\u003e that build from foundational logic to advanced combinatorial, algebraic, and topological methods.\u003cbr\u003e- \u003cb\u003eDirect, contrapositive, and contradiction\u003c\/b\u003e strategies demystified with step-by-step walkthroughs.\u003cbr\u003e- \u003cb\u003eInduction unleashed\u003c\/b\u003e-standard, strong, structural, and well-ordering approaches translated into actionable templates.\u003cbr\u003e- \u003cb\u003eCombinatorial powerhouses\u003c\/b\u003e: pigeonhole principle, double counting, inclusion-exclusion, generating functions, bijective arguments, extremal techniques.\u003cbr\u003e- \u003cb\u003eNumber-theoretic essentials\u003c\/b\u003e: parity, divisibility, modular arithmetic, bounding, and inequality proofs.\u003cbr\u003e- \u003cb\u003eGeometry \u0026amp; linear algebra synergy\u003c\/b\u003e: vector methods, transformations, determinant tricks, eigenvalue wisdom.\u003cbr\u003e- \u003cb\u003eProbabilistic \u0026amp; polynomial methods\u003c\/b\u003e that dominate modern competition math and theoretical computer science.\u003cbr\u003e- \u003cb\u003eHundreds of graded exercises\u003c\/b\u003e (with fully worked solutions) designed for course adoption, self-study, and math olympiad prep.\u003cbr\u003e- \u003cb\u003eInstructor-friendly structure\u003c\/b\u003e with ready-to-use examples.\u003c\/p\u003e\u003cp\u003e\u003cb\u003ePerfect For\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e- Students in Discrete Math, Real Analysis, Abstract Algebra, and Proof-Writing courses\u003cbr\u003e- Putnam \u0026amp; Math Olympiad competitors\u003cbr\u003e- GRE Mathematics Subject Test and actuarial exam takers\u003cbr\u003e- Computer scientists needing formal proof fluency\u003cbr\u003e- Educators seeking a classroom-ready reference\u003c\/p\u003e\u003cp\u003eUpgrade from memorizing tricks to \u003ci\u003eunderstanding why proofs work\u003c\/i\u003e-and start creating elegant arguments of your own.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Haneul Choi\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9798281226363\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Independently Published\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/24\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 440\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.29lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.89d","brand":"Haneul Choi","offers":[{"title":"Paperback","offer_id":46907218264319,"sku":"9798281226363","price":39.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5c0fb5f3-8a87-4f02-a87e-602d9792ac4d.jpg?v=1748772673","url":"https:\/\/www.whiterainbookhouse.com\/products\/proof-techniques-haneul-choi-9798281226363","provider":"WR Book House","version":"1.0","type":"link"}