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BL
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| Record Number
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951485
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| Doc. No
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b705855
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| Main Entry
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Krantz, Steven G., (Steven George),1951-
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| Title & Author
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A primer of real analytic functions /\ Steven G. Krantz, Harold R. Parks.
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| Edition Statement
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2nd ed.
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| Publication Statement
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Boston :: Birkhäuser,, ©2002.
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| Series Statement
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Birkhäuser advanced texts
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| Page. NO
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xii, 205 pages :: illustrations ;; 23 cm.
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| ISBN
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0817642641
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: 3764342641
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: 9780817642648
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: 9783764342647
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| Bibliographies/Indexes
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Includes bibliographical references (pages 187-201) and index.
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| Contents
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1. Elementary Properties -- 1.1. Basic Properties of Power Series -- 1.2. Analytic Continuation -- 1.3. The Formula of Faa di Bruno -- 1.4. Composition of Real Analytic Functions -- 1.5. Inverse Functions -- 2. Multivariable Calculus of Real Analytic Functions -- 2.1. Power Series in Several Variables -- 2.2. Real Analytic Functions of Several Variables -- 2.3. The Implicit Function Theorem -- 2.4. A Special Case of the Cauchy-Kowalewsky Theorem -- 2.5. The Inverse Function Theorem -- 2.6. Topologies on the Space of Real Analytic Functions -- 2.7. Real Analytic Submanifolds -- 2.8. The General Cauchy-Kowalewsky Theorem -- 3. Classical Topics -- 3.0. Introductory Remarks -- 3.1. The Theorem of Pringsheim and Boas -- 3.2. Besicovitch's Theorem -- 3.3. Whitney's Extension and Approximation Theorems -- 3.4. The Theorem of S. Bernstein -- 4. Some Questions of Hard Analysis -- 4.1. Quasi-analytic and Gevrey Classes -- 4.2. Puiseux Series -- 4.3. Separate Real Analyticity -- 5. Results Motivated by Partial Differential Equations -- 5.1. Division of Distributions I -- 5.2. Division of Distributions II -- 5.3. The FBI Transform -- 5.4. The Paley-Wiener Theorem -- 6. Topics in Geometry -- 6.1. The Weierstrass Preparation Theorem -- 6.2. Resolution of Singularities -- 6.3. Lojasiewicz's Structure Theorem for Real Analytic Varieties -- 6.4. The Embedding of Real Analytic Manifolds -- 6.5. Semianalytic and Subanalytic Sets.
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| Subject
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Functions of real variables.
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| Subject
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Mathematical analysis.
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| Subject
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Analyse mathématique.
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| Subject
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Fonctions de variables réelles.
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Analytische Funktion
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Analytische Funktion-- Reelle Funktion.
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Fonctions analytiques.
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Functions of real variables.
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| Subject
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Mathematical analysis.
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Reelle Funktion
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Reelle Funktion-- Analytische Funktion.
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| Dewey Classification
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515/.8
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| LC Classification
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QA331.5.K713 2002
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| NLM classification
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SK 420rvk
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| Added Entry
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Parks, Harold R.,1949-
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