{"product_id":"invitation-to-abstract-algebra","title":"Invitation To Abstract Algebra","description":"\u003cp\u003eStudying abstract algebra can be an adventure of awe-inspiring discovery. The subject need not be watered down nor should it be presented as if all students will become mathematics instructors. This is a beautiful, profound, and useful field which is part of the shared language of many areas both within and outside of mathematics. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eTo begin this journey of discovery, some experience with mathematical reasoning is beneficial. This text takes a fairly rigorous approach to its subject, and expects the reader to understand and create proofs as well as examples throughout.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe book follows a single arc, starting from humble beginnings with arithmetic and high-school algebra, gradually introducing abstract structures and concepts, and culminating with Niels Henrik Abel and Evariste Galois’ achievement in understanding how we can—and cannot—represent the roots of polynomials. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe mathematically experienced reader may recognize a bias toward commutative algebra and fondness for number theory. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe presentation includes the following features:\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cli\u003eExercises are designed to support and extend the material in the chapter, as well as prepare for the succeeding chapters. \u003c\/li\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cli\u003eThe text can be used for a one, two, or three-term course. \u003c\/li\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cli\u003eEach new topic is motivated with a question.\u003c\/li\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003cli\u003eA collection of projects appears in Chapter 23.\u003c\/li\u003e\n\u003cp\u003e\u003c\/p\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eAbstract algebra is indeed a deep subject; it can transform not only the way one thinks about mathematics, but the way that one thinks—period. This book is offered as a manual to a new way of thinking. The author’s aim is to instill the desire to understand the material, to encourage more discovery, and to develop an appreciation of the subject for its own sake.\u003c\/p\u003e","brand":"MediaPlace","offers":[{"title":"Default Title","offer_id":57199895118206,"sku":"NW9781032171784","price":54.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1379\/1261\/files\/9781032171784.jpg?v=1778533421","url":"https:\/\/mediaplace.com\/products\/invitation-to-abstract-algebra","provider":"MediaPlace","version":"1.0","type":"link"}