{"title":"Allan Clark","description":"\u003cp\u003e0\u003c\/p\u003e","products":[{"product_id":"elements-of-abstract-algebra-book-allan-clark-9780486647258","title":"Elements of Abstract Algebra","description":"This concise, readable, college-level text treats basic abstract algebra in remarkable depth and detail. An antidote to the usual surveys of structure, the book presents group theory, Galois theory, and classical ideal theory in a framework emphasizing proof of important theorems.\u003cbr\u003eChapter I (Set Theory) covers the basics of sets. Chapter I (Group Theory) is a rigorous introduction to groups. It contains all the results needed for Galois theory as well as the Sylow theorems, the Jordan-Holder theorem, and a complete treatment of the simplicity of alternating groups. Chapter I (Field Theory) reviews linear algebra and introduces fields as a prelude to Galois theory. In addition there is a full discussion of the constructibility of regular polygons. Chapter IV (Galois Theory) gives a thorough treatment of this classical topic, including a detailed presentation of the solvability of equations in radicals that actually includes solutions of equations of degree 3 and 4 ― a feature omitted from all texts of the last 40 years. Chapter V (Ring Theory) contains basic information about rings and unique factorization to set the stage for classical ideal theory. Chapter VI (Classical Ideal Theory) ends with an elementary proof of the Fundamental Theorem of Algebraic Number Theory for the special case of Galois extensions of the rational field, a result which brings together all the major themes of the book.\u003cbr\u003eThe writing is clear and careful throughout, and includes many historical notes. Mathematical proof is emphasized. The text comprises 198 articles ranging in length from a paragraph to a page or two, pitched at a level that encourages careful reading. Most articles are accompanied by exercises, varying in level from the simple to the difficult.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49752657428753,"sku":"CIN0486647250G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50200507023633,"sku":"GOR006073780","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":50770400903441,"sku":"GOR008255545","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50946520940817,"sku":"CIN0486647250VG","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51002896711953,"sku":"NIN9780486647258","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ WELL_READ \/ SBYB","offer_id":52496414441745,"sku":"CIN0486647250A","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486647250.jpg?v=1750814918"},{"product_id":"camping-book-allan-c-clark-9781543967128","title":"Camping","description":"The author has spent a lifetime of camping in many of its forms. Experiences from tent camping, canoe camping, and camping as a backpacker all come together in this fully-packed guide. Whether you are considering camping for the first time or even if you are a seasoned camper, you'll find hundreds of useful tips in this guide.The information you will find within the guide includes how to plan your camping adventure, the equipment you might need, what to expect at a campground or remote location, which foods to consider, and the wildlife you might encounter. In order to help the reader to avoid pitfalls and mishaps that could await the inexperienced camper, the author portrays mistakes he has made and situations he has seen or experienced. In fact, the entire guide was created for the sole purpose of helping campers to have the best possible camping experience.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50311426048273,"sku":"CIN1543967124G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50975470027025,"sku":"CIN1543967124VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1543967124.jpg?v=1751374799"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-allan-clark.oembed","provider":"World of Books ","version":"1.0","type":"link"}