{"product_id":"9781493951468","title":"Introduction to Mathematical Structures and Proofs","description":"\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. Introduction to Mathematical Structures and Proofs 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\u003eThe 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\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":47048734572784,"sku":"9781493951468","price":59.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781493951468_p0.jpg?v=1763665110","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781493951468","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}