{"product_id":"introduction-to-mathematical-structures-and-proofs-9781493951468","title":"Introduction to Mathematical Structures and Proofs","description":"\u003cp\u003e • Author(s): Larry J. Gerstein\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Logic\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eAs a student moves from basic calculus courses into upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, and so on, a \"bridge\" course can help ensure a smooth transition. \u003ci\u003eIntroduction to Mathematical Structures and Proofs\u003c\/i\u003e is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor--and the flexible thinking--required to prove a nontrivial result. In short, this book seeks to enhance the mathematical maturity of the reader. \u003c\/p\u003e\u003cp\u003e The new material in this second edition includes a section on graph theory, several new sections on number theory (including primitive roots, with an application to card-shuffling), and a brief introduction to the complex numbers (including a section on the arithmetic of the Gaussian integers). Solutions for even numbered exercises are available on springer.com for instructors adopting the text for a course. \u003c\/p\u003e\u003cp\u003eFrom a review of the first edition: \u003c\/p\u003e\u003cp\u003e\"...Gerstein wants--very gently--to teach his students to think. He wants to show them how to wrestle with a problem (one that is more sophisticated than \"plug and chug\"), how to build a solution, and ultimately he wants to teach the students to take a statement and develop a way to prove it...Gerstein writes with a certain flair that I think students will find appealing. ...I am confident that a student who works through Gerstein's book will really come away with (i) some mathematical technique, and (ii) some mathematical knowledge....\u003c\/p\u003e\u003cp\u003eGerstein's book states quite plainly that the text is designed for use in a transitions course. Nothing benefits a textbook author more than having his goals clearly in mind, and Gerstein's book achieves its goals. I would be happy to use it in a transitions course.\" \u003c\/p\u003e\u003cp\u003e--Steven Krantz, \u003cb\u003eAmerican Mathematical Monthly\u003c\/b\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274241990807,"sku":"9781493951468","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781493951468.webp?v=1769279332","url":"https:\/\/atlanticbooks.com\/products\/introduction-to-mathematical-structures-and-proofs-9781493951468","provider":"Atlantic Books","version":"1.0","type":"link"}