{"product_id":"algebra-a-teaching-and-source-book-9783319197333","title":"Algebra: A Teaching and Source Book","description":"\u003cp\u003e • Author(s): Ernest Shult\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Geometry - Algebraic\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis book presents a graduate-level course on modern algebra. It can be used as a teaching book - owing to the copious exercises - and as a source book for those who wish to use the major theorems of algebra.\u003c\/p\u003e\u003cp\u003eThe course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan-Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products.\u003c\/p\u003e\u003cp\u003eBeginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45276277637271,"sku":"9783319197333","price":3639.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783319197333.webp?v=1769285210","url":"https:\/\/atlanticbooks.com\/products\/algebra-a-teaching-and-source-book-9783319197333","provider":"Atlantic Books","version":"1.0","type":"link"}