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001			281163
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007			cr nn 008mamaa
008			150903s2010 xxu| o |||| 0|eng d
020			_a9780387980980 _99780387980980
024	7		_a10.1007/9780387980980 _2doi
035			_avtls000333430
039		9	_a201509030231 _bVLOAD _c201404130436 _dVLOAD _c201404092226 _dVLOAD _y201402041111 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA299.6-433
100	1		_aDavidson, Kenneth R. _eautor _9306616
245	1	0	_aReal Analysis and Applications : _bTheory in Practice / _cby Kenneth R. Davidson, Allan P. Donsig.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_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		_aUndergraduate Texts in Mathematics, _x0172-6056
500			_aSpringer eBooks
505	0		_aAnalysis -- Review -- The Real Numbers -- Series -- Topology of -- Functions -- Differentiation and Integration -- Norms and Inner Products -- Limits of Functions -- Metric Spaces -- Applications -- Approximation by Polynomials -- Discrete Dynamical Systems -- Differential Equations -- Fourier Series and Physics -- Fourier Series and Approximation -- Wavelets -- Convexity and Optimization.
520			_aThis new approach to real analysis stresses the use of the subject in applications, showing how the principles and theory of real analysis can be applied in various settings. Applications cover approximation by polynomials, discrete dynamical systems, differential equations, Fourier series and physics, Fourier series and approximation, wavelets, and convexity and optimization. Each chapter has many useful exercises. The treatment of the basic theory covers the real numbers, functions, and calculus, while emphasizing the role of normed vector spaces, and particularly of Rn. The applied chapters are mostly independent, giving the reader a choice of topics. This book is appropriate for students with a prior knowledge of both calculus and linear algebra who want a careful development of both analysis and its use in applications. Review of the previous version of this book, Real Analysis with Real Applications: "A well balanced book! The first solid analysis course, with proofs, is central in the offerings of any math.-dept.; ---and yet, the new books that hit the market don't always hit the mark: the balance between theory and applications, ---between technical proofs and intuitive ideas, ---between classical and modern subjects, and between real life exercises vs. the ones that drill a new concept. The Davidson-Donsig book is outstanding, and it does hit the mark." Palle E. T. Jorgenson, Review from Amazon.com Kenneth R. Davidson is University Professor of Mathematics at the University of Waterloo. Allan P. Donsig is Associate Professor of Mathematics at the University of Nebraska-Lincoln.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aDonsig, Allan P. _eautor _9306617
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780387980973
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-98098-0 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c281163 _d281163