{"product_id":"an-invitation-to-abstract-mathematics","title":"An Invitation to Abstract Mathematics","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics.\u003c\/p\u003e\u003cp\u003eDivided into four parts, this book begins with a playful exploration of the building blocks of mathematics, such as definitions, axioms, and proofs. A study of the fundamental concepts of logic, sets, and functions follows, before focus turns to methods of proof. Having covered the core of a transition course, the author goes on to present a selection of advanced topics that offer opportunities for extension or further study. Throughout, appendices touch on historical perspectives, current trends, and open questions, showing mathematics as a vibrant and dynamic human enterprise.\u003c\/p\u003e\u003cp\u003eThis second edition has been reorganized to better reflect the layout and curriculum of standard transition courses. It also features recent developments and improved appendices. \u003ci\u003eAn Invitation to Abstract Mathematics\u003c\/i\u003e is ideal for those seeking a challenging and engaging transition to advanced mathematics, and will appeal to both undergraduates majoring in mathematics, as well as non-math majors interested in exploring higher-level concepts.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom reviews of the first edition:\u003c\/b\u003e\u003c\/p\u003e\u003ci\u003eBajnok's new book truly \u003c\/i\u003einvites \u003ci\u003estudents to enjoy the beauty, power, and challenge of abstract mathematics. ... The book can be used as a text for traditional transition or structure courses ... but since Bajnok invites all students, not just mathematics majors, to enjoy the subject, he assumes very little background knowledge.\u003c\/i\u003e \u003cb\u003eJill Dietz, MAA Reviews\u003c\/b\u003e\u003cp\u003e\u003ci\u003eThe style of writing is careful, but joyously enthusiastic.... The author's clear attitude is that mathematics consists of problem s\u003c\/i\u003e\u003c\/p\u003e","brand":"Springer Nature B.V.","offers":[{"title":"Default Title","offer_id":67658859151727,"sku":"9783030561734","price":452.56,"currency_code":"BRL","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0921\/9384\/9711\/files\/3030561739.jpg?v=1791087510","url":"https:\/\/internacional.umlivro.com.br\/products\/an-invitation-to-abstract-mathematics","provider":"UmLivro Internacional","version":"1.0","type":"link"}