{"product_id":"introduction-to-proofs-and-proof-strategies-paperback-9781009096287","title":"Introduction to Proofs and Proof Strategies (Paperback \/ softback) 9781009096287","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eIntroduction to Proofs and Proof Strategies\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eWith a conversational style and no prerequisites, this transition to advanced mathematics emphasizes creative thinking and problem-solving.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eShay Fuchs (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009096287, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 22 June 2023\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e349 pages\u003cbr\u003e25.3 x 17.8 x 1.7 cm, 0.73 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This textbook is easy to read and designed to enhance students' problem-solving skills in their first year of university. The book really stands out due to the variety and quality of exercises at the end of each chapter. The latter chapters dive into more advanced topics for interested students.' Marina Tvalavadze, University of Toronto Mississauga\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eEmphasizing the creative nature of mathematics, this conversational textbook guides students through the process of discovering a proof. The material revolves around possible strategies to approaching a problem without classifying 'types of proofs' or providing proof templates. Instead, it helps students develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow. Beginning by discussing familiar and fundamental topics from a more theoretical perspective, the book moves on to inequalities, induction, relations, cardinality, and elementary number theory. The final supplementary chapters allow students to apply these strategies to the topics they will learn in future courses. With its focus on 'doing mathematics' through 200 worked examples, over 370 problems, illustrations, discussions, and minimal prerequisites, this course will be indispensable to first- and second-year students in mathematics, statistics, and computer science. Instructor resources include solutions to select problems.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eContents\u003cbr\u003e Preface\u003cbr\u003e Part I. Core Material\u003cbr\u003e 1. Numbers, Quadratics and Inequalities\u003cbr\u003e 2. Sets, Functions and the Field Axioms\u003cbr\u003e 3. Informal Logic and Proof Strategies\u003cbr\u003e 4. Mathematical Induction\u003cbr\u003e 5. Bijections and Cardinality\u003cbr\u003e 6. Integers and Divisibility\u003cbr\u003e 7. Relations\u003cbr\u003e Part II. Additional Topics\u003cbr\u003e 8. Elementary Combinatorics\u003cbr\u003e 9. Preview of Real Analysis – Limits and Continuity\u003cbr\u003e 10. Complex Numbers\u003cbr\u003e 11. Preview of Linear Algebra\u003cbr\u003e Notes\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45999539847448,"sku":"9781009096287","price":30.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781009096287i_22af510b-47d4-4860-af01-d8138db61de3.jpg?v=1696782912","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/introduction-to-proofs-and-proof-strategies-paperback-9781009096287","provider":"Freshly Printed Books","version":"1.0","type":"link"}