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008			150903s2007 xxu| o |||| 0|eng d
020			_a9780817647070 _99780817647070
024	7		_a10.1007/9780817647070 _2doi
035			_avtls000333619
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050		4	_aQA150-272
100	1		_aMichel, Anthony N. _eautor _9305417
245	1	0	_aAlgebra and Analysis for Engineers and Scientists / _cby Anthony N. Michel, Charles J. Herget.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2007.
300			_brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aFundamental Concepts -- Algebraic Structures -- Vector Spaces and Linear Transformations -- Finite-Dimensional Vector Spaces and Matrices -- Metric Spaces -- Normed Spaces and Inner Product Spaces -- Linear Operators.
520			_a"This is an intermediate level text, with exercises, whose avowed purpose is to provide the science and engineering graduate student with an appropriate modern mathematical (analysis and algebra) background in a succinct, but nontrivial, manner.... [T]he book is quite thorough and can serve as a text, for self-study, or as a reference." —Mathematical Reviews Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to: * provide readers with appropriate mathematical background for graduate study in engineering or science; * allow students in engineering or science to become familiar with a great deal of pertinent mathematics in a rapid and efficient manner without sacrificing rigor; * give readers a unified overview of applicable mathematics, enabling them to choose additional, advanced topical courses in mathematics more intelligently. Whereas these objectives for writing this book were certainly pertinent over twenty years ago when the work was first published, they are even more compelling now. Today’s graduate students in engineering or science are expected to be more knowledgeable and sophisticated in mathematics than students in the past. Moreover, today’s graduate students in engineering or science are expected to be familiar with a great deal of ancillary material (primarily in the computer science area), acquired in courses that did not even exist a couple of decades ago. The book is divided into three parts: set theory (Chapter 1), algebra (Chapters 2–4), and analysis (Chapters 5–7). The first two chapters deal with the fundamental concepts of sets, functions, relations and equivalence relations, and algebraic structures. Chapters 3 and 4 cover vector spaces and linear transformations, and finite-dimensional vector spaces and matrices. The last three chapters investigate metric spaces, normed and inner product spaces, and linear operators. Because of its flexible structure, Algebra and Analysis for Engineers and Scientists may be used either in a one- or two-semester course by deleting appropriate sections, taking into account the students’ backgrounds and interests. A generous number of exercises have been integrated into the text, and a section of references and notes is provided at the end of each chapter. Applications of algebra and analysis having a broad appeal are also featured, including topics dealing with ordinary differential equations, integral equations, applications of the contraction mapping principle, minimization of functionals, an example from optimal control, and estimation of random variables. Supplementary material for students and instructors is available at http://Michel.Herget.net.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aHerget, Charles J. _eautor _9305680
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817647063
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4707-0 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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