Intermediate Mathematical Analysis

R.D. Bhatt

Verlag: Narosa Publishing House, 2009
ISBN 10: 8173199582 / ISBN 13: 9788173199585
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Intermediate Mathematical Analysis aims at presenting advanced topics such as continuity, uniform continuity, tests of convergence of series, uniform convergence of series, power series, polynomial approximations and Fourier series in a more general setting. Metric and Normed Linear Spaces are introduced at an early stage and are used wherever found advantageous. The book places a consistent emphasis on showing the power of the classical analysis by applying it to the study of real valued functions and their applications. Requiring only a nodding acquaintance with ? ? d type arguments and definition of Riemann integral, the book will provide sufficient background material for studies in Functional Analysis, Topology, Complex Analysis, Theory of Differential Equations and so on. Key Features ? Theorems are proved in complete details and illustrated profusely using examples and counter examples ? About hundred illustrations and four hundred exercises, most of which have hints or solutions at the end of the book ? End of the chapter projects to challenge ambitious readers Table of Contents Preface / Metric Spaces: Definition of a Metric Space / Some Examples / Euclidean Metric in Kn / Normed Spaces: Normed Spaces / The Sequence Space lp, p>1: / Topology of Metric Spaces: Topological Spaces / Topology of Metric Spaces / Equivalent Metrics / Subspaces / Sequences in Metric Spaces / Closure, Interior and Boundary / Complete Metric Spaces: The Cauchy Sequence / Subsequences / Contraction Mapping / Continuity: Continuity between Metric Spaces / Open Maps, Closed Maps / Uniform Continuity / Homeomorphism and Isometry / Discontinuities and All That / Connected Metric Spaces: Connected Metric Spaces / Application of Intermediate Value Theorem / Connected Components / Path Connected Spaces / Compact Metric Spaces: Compactness / Characterization of Compact Metric Spaces / Applications / Sequences and Series of Functions: Pointwise Convergence / Uniform Convergence / Power Series: Limit Superior and Limit Inferior / Power Series / The Circular Functions / The Exponential Function / Fourier Series: Orthogonal Functions / Fourier Sine and Cosine Series / Mean Square Convergence of Fourier Series / The Pointwise Convergence of Fourier Series / Appendixes / Bibliography / Index / Index of Symbols. Printed Pages: 441. Buchnummer des Verkäufers 67404

Bibliografische Details

Titel: Intermediate Mathematical Analysis
Verlag: Narosa Publishing House
Erscheinungsdatum: 2009
Einband: Softcover
Zustand: New

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Thurston, Hugh
Verlag: Oxford University Press, Oxford University Press (1988)
Gebraucht Softcover Anzahl: 1
Plurabelle Books Ltd
(Cambridge, Vereinigtes Königreich)

Buchbeschreibung Oxford University Press, Oxford University Press, 1988. Buchzustand: Very Good. viii 164p large paperback, hardly used, spine, cover and edges a little yellowed, pages clean and unmarked, answers, index, index of notation, excellent condition, this title was published in the series Oxford Science Publications. Artikel-Nr. PAB 176754

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