عنوان

A primer of real analytic functions /

(Number (ISBN

0817642641

(Number (ISBN

3764342641

(Number (ISBN

9780817642648

(Number (ISBN

9783764342647

Number

b705855

Title Proper

A primer of real analytic functions /

General Material Designation

[Book]

First Statement of Responsibility

Steven G. Krantz, Harold R. Parks.

Edition Statement

2nd ed.

Place of Publication, Distribution, etc.

Boston :

Name of Publisher, Distributor, etc.

Birkhäuser,

Date of Publication, Distribution, etc.

©2002.

Specific Material Designation and Extent of Item

xii, 205 pages :

Other Physical Details

illustrations ;

Dimensions

23 cm.

Series Title

Birkhäuser advanced texts

Text of Note

Includes bibliographical references (pages 187-201) and index.

Text of Note

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.

0

Functions of real variables.

Mathematical analysis.

Analyse mathématique.

Fonctions de variables réelles.

Analytische Funktion

Analytische Funktion-- Reelle Funktion.

Fonctions analytiques.

Functions of real variables.

Mathematical analysis.

Reelle Funktion

Reelle Funktion-- Analytische Funktion.

QA

Number

Edition

Class number

Book number

Class number

System Code

Krantz, Steven G., (Steven George),1951-

Parks, Harold R.,1949-

Date of Transaction

20201207211149.0

Electronic name

[Book]

Y