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| fixed length control field |
02398nam a22002177a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20241025120133.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
220607b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780486689234 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
Donation by CAM (Prof. A S Vasudeva Murthy) |
| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA320 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Georgi E.Shilov |
| 245 ## - TITLE STATEMENT |
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| Title |
Elementary functional analysis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
New York: |
| Name of publisher, distributor, etc. |
Dover Publication, |
| Date of publication, distribution, etc. |
[c1974] |
| 300 ## - Physical Description |
|---|
| Pages: |
334 p. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Graduate Texts in Mathematics |
| Volume/sequential designation |
Vol. 253 |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Chapter 1. Basic Structured of Mathematical Analysis<br/>Chapter 2. Differential Equation <br/>Chapter 3. Space Curves <br/>Chapter 4. Orthogonal Expansions<br/>Chapter 5. The Fourier Transform |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis: linear spaces, metric spaces, normed linear spaces, Hilbert spaces, and normed algebras. The standard models for all these spaces are sets of functions (hence the term "functional analysis"), rather than sets of points in a finite-dimensional space.the basic theorems on existence and uniqueness of solutions of ordinary differential equations for functions taking values in a Banach space. The solution of the linear equation with constant (operator) coefficients is written in general form in terms of the exponential of the operator. This leads, in the finite-dimensional case, to explicit formulas not only for the solutions of first-order equations, but also to the solutions of higher-order equations and systems of equations. The third chapter presents a theory of curvature for curve in a multidimensional space.<br/>The final two chapters essentially comprise an introduction to Fourier analysis. In the treatment of orthogonal expansions, a key role is played by Fourier series and the various kinds of convergence and summability for such series. The material on Fourier transforms, in addition to presenting the more familiar theory, also deals with problems in the complex domain, in particular with problems involving the Laplace transform.Designed for students at the upper-undergraduate or graduate level, the text includes a set of problems for each chapter, with hints and answers at the end of the book.---Summary provided by publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Koha item type |
Book |
