{"product_id":"basic-algebra-9780817632489","title":"Basic Algebra","description":"\u003cp\u003e • Author(s): Anthony W. Knapp\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Algebra - Linear\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eBasic Algebra\u003c\/em\u003e and \u003cem\u003eAdvanced Algebra\u003c\/em\u003e systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole.\u003c\/p\u003e \u003cp\u003eKey topics and features of \u003cem\u003eBasic Algebra: \u003c\/em\u003e\u003c\/p\u003e \u003cp\u003e*Linear algebra and group theory build on each other continually\u003c\/p\u003e \u003cp\u003e*Chapters on modern algebra treat groups, rings, fields, modules, and Galois groups, with emphasis on methods of computation throughout\u003c\/p\u003e \u003cp\u003e*Three prominent themes recur and blend together at times: the analogy between integers and polynomials in one variable over a field, the interplay between linear algebra and group theory, and the relationship between number theory and geometry\u003c\/p\u003e \u003cp\u003e*Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems\u003c\/p\u003e \u003cp\u003e*The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; includes blocks of problems that introduce additional topics and applications for further study\u003c\/p\u003e \u003cp\u003e*Applications to science and engineering (e.g., the fast Fourier transform, the theory of error-correcting codes, the use of the Jordan canonical form in solving linear systems of ordinary differential equations, and constructions of interest in mathematical physics) appear in sequences of problems\u003c\/p\u003e \u003cp\u003e\u003cem\u003eBasic Algebra\u003c\/em\u003e presents the subject matter in a forward-looking way that takes into account its historical development. It is suitable as a text in a two-semester advanced undergraduate or first-year graduate sequence in algebra, possibly supplemented by some material from \u003cem\u003eAdvanced Algebra \u003c\/em\u003eat the graduate level. It requires of the reader only familiarity with matrix algebra, an understanding of the geometry and reduction of linear equations, and an acquaintance with proofs.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45274018807959,"sku":"9780817632489","price":10283.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780817632489.webp?v=1769238452","url":"https:\/\/atlanticbooks.com\/products\/basic-algebra-9780817632489","provider":"Atlantic Books","version":"1.0","type":"link"}