{"product_id":"abstract-algebra-an-inquiry-based-approach-9780367555016","title":"Abstract Algebra: An Inquiry-Based Approach","description":"\u003cp\u003e • Author(s): Jonathan K. Hodge\u003cbr\u003e • Publisher: Taylor \u0026amp; Francis\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Algebra - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAbstract Algebra: An Inquiry-Based Approach, Second Edition \u003c\/strong\u003enot only teaches abstract algebra, but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think.\u003c\/p\u003e\u003cp\u003eThe second edition of this unique, flexible approach builds on the success of the first edition. The authors offer an emphasis on active learning, helping students learn algebra by gradually building both their intuition and their ability to write coherent proofs in context. \u003c\/p\u003e\u003cp\u003eThe goals for this text include: \u003c\/p\u003e\u003cul\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eAllowing the flexibility to begin the course with either groups or rings.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eIntroducing the ideas behind definitions and theorems to help students develop intuition.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eHelping students understand how mathematics is done. Students will experiment through examples, make conjectures, and then refine or prove their conjectures. \u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eAssisting students in developing their abilities to effectively communicate mathematical ideas.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eActively involving students in realizing each of these goals through in-class and out-of-class activities, common in-class intellectual experiences, and challenging problem sets.\u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003eChanges in the Second Edition\u003c\/p\u003e\u003cul\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eStreamlining of introductory material with a quicker transition to the material on rings and groups.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eNew investigations on extensions of fields and Galois theory. \u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eNew exercises added and some sections reworked for clarity.\u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e \u003cli\u003eMore online Special Topics investigations and additional Appendices, including new appendices on other methods of proof and complex roots of unity.\u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003eEncouraging students to \u003cem\u003edo \u003c\/em\u003emathematics and be more than passive learners, this text shows students the way mathematics is developed is often different than how it is presented; definitions, theorems, and proofs do not simply appear fully formed; mathematical ideas are highly interconnected; and in abstract algebra, there is a considerable amount of intuition to be found.\u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Hardcover","offer_id":45242885669015,"sku":"9780367555016","price":8798.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780367555016.webp?v=1769233287","url":"https:\/\/atlanticbooks.com\/products\/abstract-algebra-an-inquiry-based-approach-9780367555016","provider":"Atlantic Books","version":"1.0","type":"link"}