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020 _a9780817645298
_99780817645298
024 7 _a10.1007/9780817645298
_2doi
035 _avtls000333536
039 9 _a201509030802
_bVLOAD
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
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050 4 _aQA150-272
100 1 _aKnapp, Anthony W.
_eautor
_9305660
245 1 0 _aBasic Algebra /
_cby Anthony W. Knapp.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2006.
300 _axxii, 717 páginas 42 ilustraciones
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aCornerstones
500 _aSpringer eBooks
505 0 _aPreliminaries about the Integers, Polynomials, and Matrices -- Vector Spaces over ?, ?, and ? -- Inner-Product Spaces -- Groups and Group Actions -- Theory of a Single Linear Transformation -- Multilinear Algebra -- Advanced Group Theory -- Commutative Rings and Their Modules -- Fields and Galois Theory -- Modules over Noncommutative Rings.
520 _aBasic Algebra and Advanced Algebra 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. Key topics and features of Basic Algebra: *Linear algebra and group theory build on each other continually *Chapters on modern algebra treat groups, rings, fields, modules, and Galois groups, with emphasis on methods of computation throughout *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 *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 *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 *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 Basic Algebra 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 Advanced Algebra at 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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780817632489
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4529-8
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c280661
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