{"product_id":"9781032102795-elements-of-advanced-mathematics","title":"The Elements of Advanced Mathematics","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003e\u003cp\u003eThis edition offers a more instructive Preface to assist instructors on developing the course they prefer. The prerequisites are more explicit and provide a roadmap for the course. Sample syllabi are included.\u003c\/p\u003e\n\u003cbr\u003e\u003cp\u003eThis book has enjoyed considerable use and appreciation during its first four editions. With hundreds of students having learned out of early editions, the author continues to find ways to modernize and maintain a unique presentation.\u003c\/p\u003e\n\u003cp\u003eWhat sets the book apart is the excellent writing style, exposition, and unique and thorough sets of exercises. This edition offers a more instructive preface to assist instructors on developing the course they prefer. The prerequisites are more explicit and provide a roadmap for the course. Sample syllabi are included.\u003c\/p\u003e\n\u003cp\u003eAs would be expected in a fifth edition, the overall content and structure of the book are sound.\u003c\/p\u003e\n\u003cp\u003eThis new edition offers a more organized treatment of axiomatics. Throughout the book, there is a more careful and detailed treatment of the axioms of set theory. The rules of inference are more carefully elucidated.\u003c\/p\u003e\n\u003cp\u003eAdditional new features include:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eAn emphasis on the art of proof.\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eEnhanced number theory chapter presents some easily accessible but still-unsolved problems. These include the Goldbach conjecture, the twin prime conjecture, and so forth.\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eThe discussion of equivalence relations is revised to present reflexivity, symmetry, and transitivity \u003ci\u003ebefore \u003c\/i\u003ewe define equivalence relations.\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eThe discussion of the RSA cryptosystem in Chapter 8 is expanded.\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eThe author introduces groups much earlier. Coverage of group theory, formerly in Chapter 11, has been moved up; this is an incisive example of an axiomatic theory.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eRecognizing new ideas, the author has enhanced the overall presentation to create a fifth edition of this classic and widely-used textbook.\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":41812014039137,"sku":"9781032102795","price":71.15,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/orig_36641784.jpg?v=1760619552","url":"https:\/\/www.rarewaves.com\/products\/9781032102795-elements-of-advanced-mathematics","provider":"Rarewaves.com","version":"1.0","type":"link"}