000			03633nam a22005655i 4500
001			978-0-8176-4514-4
003			DE-He213
005			20161121231125.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780817645144 _9978-0-8176-4514-4
024	7		_a10.1007/978-0-8176-4514-4 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aGiaquinta, Mariano. _eauthor.
245	1	0	_aMathematical Analysis _h[electronic resource] : _bLinear and Metric Structures and Continuity / _cby Mariano Giaquinta, Giuseppe Modica.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2007.
300			_aXX, 466 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aLinear Algebra -- Vectors, Matrices and Linear Systems -- Vector Spaces and Linear Maps -- Euclidean and Hermitian Spaces -- Self-Adjoint Operators -- Metrics and Topology -- Metric Spaces and Continuous Functions -- Compactness and Connectedness -- Curves -- Some Topics from the Topology of ?n -- Continuity in Infinite-Dimensional Spaces -- Spaces of Continuous Functions, Banach Spaces and Abstract Equations -- Hilbert Spaces, Dirichlet’s Principle and Linear Compact Operators -- Some Applications.
520			_aThis self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces. The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators. Mathematical Analysis: Linear and Metric Structures and Continuity motivates the study of linear and metric structures with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, and Mathematical Analysis: Approximation and Discrete Processes. This book builds upon the discussion in these books to provide the reader with a strong foundation in modern-day analysis.
650		0	_aMathematics.
650		0	_aMathematical analysis.
650		0	_aAnalysis (Mathematics).
650		0	_aFunctional analysis.
650		0	_aDifferential equations.
650		0	_aFunctions of real variables.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650		0	_aTopology.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aTopology.
650	2	4	_aFunctional Analysis.
650	2	4	_aReal Functions.
650	2	4	_aApplications of Mathematics.
700	1		_aModica, Giuseppe. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817643751
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4514-4
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c508940 _d508940