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Record Nr. |
UNINA9910139597703321 |
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Autore |
Akcoglu Mustafa A (Mustafa Agah), <1934-> |
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Titolo |
Analysis in vector spaces [[electronic resource] ] : a course in advanced calculus / / Mustafa A. Akcoglu, Paul F.A. Bartha, Dzung M. Ha |
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Pubbl/distr/stampa |
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Hoboken, N.J., : Wiley-Interscience, c2009 |
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ISBN |
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1-283-27395-0 |
9786613273956 |
1-118-16458-X |
1-118-16459-8 |
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Descrizione fisica |
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1 online resource (480 p.) |
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Altri autori (Persone) |
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BarthaPaul F. A. <1964-> |
HaDzung Minh |
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Disciplina |
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Soggetti |
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Vector spaces |
Functional analysis |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di contenuto |
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Analysis in Vector Spaces: A Course in Advanced Calculus; CONTENTS; Preface; PART I BACKGROUND MATERIAL; 1 Sets and Functions; 1.1 Sets in General; 1.2 Sets of Numbers; 1.3 Functions; 2 Real Numbers; 2.1 Review of the Order Relations; 2.2 Completeness of Real Numbers; 2.3 Sequences of Real Numbers; 2.4 Subsequences; 2.5 Series of Real Numbers; 2.6 Intervals and Connected Sets; 3 Vector Functions; 3.1 Vector Spaces: The Basics; 3.2 Bilinear Functions; 3.3 Multilinear Functions; 3.4 Inner Products; 3.5 Orthogonal Projections; 3.6 Spectral Theorem; PART II DIFFERENTIATION; 4 Normed Vector Spaces |
4.1 Preliminaries4.2 Convergence in Normed Spaces; 4.3 Norms of Linear and Multilinear Transformations; 4.4 Continuity in Normed Spaces; 4.5 Topology of Normed Spaces; 5 Derivatives; 5.1 Functions of a Real Variable; 5.2 Differentiable Functions; 5.3 Existence of Derivatives; 5.4 Partial Derivatives; 5.5 Rules of Differentiation; 5.6 Differentiation of Products; 6 Diffeomorphisms and Manifolds; 6.1 The Inverse Function Theorem; 6.2 Graphs; 6.3 Manifolds in Parametric |
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