| 000 -LEADER |
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| fixed length control field |
01824nam a2200205Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20241106153953.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
170804s2017 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
978-1-4704-1099-5 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA 300 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Barry Simon |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Real Analysis |
| Remainder of title |
: a comprehensive course in analysis, part 1 |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Name of publisher, distributor, etc. |
American Mathematical Society, |
| Date of publication, distribution, etc. |
[c2015] |
| Place of publication, distribution, etc. |
Rhode Island: |
| 300 ## - Physical Description |
|---|
| Pages: |
789 p. |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Chapter 1. Preliminaries<br/>Chapter 2. Topological spaces<br/>Chapter 3. A first look at Hilbert spaces and Fourier series<br/>Chapter 4. Measure theory<br/>Chapter 5. Convexity and Banach spaces<br/>Chapter 6. Tempered distributions and the Fourier transform<br/>Chapter 7. Bonus chapter: Probability basics<br/>Chapter 8. Bonus chapter: Hausdorff measure and dimension<br/>Chapter 9. Bonus chapter: Inductive limits and ordinary distributions<br/> |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and Lp spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory. --- summary provided by publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Koha item type |
Book |
