A modern theory of integration (Record no. 1608)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02158nam a2200241Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20241025150558.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180205s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821852156 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA312 |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bartle, G. Robert |
| 245 ## - TITLE STATEMENT | |
| Title | A modern theory of integration |
| 250 ## - EDITION STATEMENT | |
| Edition statement | Indian edition |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Name of publisher, distributor, etc. | American Mathematical Society, |
| Date of publication, distribution, etc. | [c2001] |
| Place of publication, distribution, etc. | Rhode Island: |
| 300 ## - Physical Description | |
| Pages: | 458 p. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate studies in mathematics |
| Volume/sequential designation | Vol. 32 |
| 500 ## - GENERAL NOTE | |
| General note | Part 1. Integration on compact intervals<br/>Chapter 1. Gauges and integrals<br/>Chapter 2. Some examples<br/>Chapter 3. Basic properties of the integral<br/>Chapter 4. The fundamental theorems of calculus<br/>Chapter 5. The Saks-Henstock lemma<br/>Chapter 6. Measurable functions<br/>Chapter 7. Absolute integrability<br/>Chapter 8. Convergence theorems<br/>Chapter 9. Integrability and mean convergence<br/>Chapter 10. Measure, measurability, and multipliers<br/>Chapter 11. Modes of convergence<br/>Chapter 12. Applications to calculus<br/>Chapter 13. Substitution theorems<br/>Chapter 14. Absolute continuity<br/>Part 2. Integration on infinite intervals<br/>Chapter 15. Introduction to Part 2<br/>Chapter 16. Infinite intervals<br/>Chapter 17. Further re-examination<br/>Chapter 18. Measurable sets<br/>Chapter 19. Measurable functions<br/>Chapter 20. Sequences of functions |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book gives an introduction to integration theory via the "generalized Riemann integral" due to Henstock and Kurzweil. The class of integrable functions coincides with those of Denjoy and Perron and includes all conditionally convergent improper integrals as well as the Lebesgue integrable functions. Using this general integral the author gives a full treatment of the Lebesgue integral on the line.<br/><br/>The book is designed for students of mathematics and of the natural sciences and economics. An understanding of elementary real analysis is assumed, but no familiarity with topology or measure theory is needed. The author provides many examples and a large collection of exercises—many with solutions. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://www.ams.org/books/gsm/032/">https://www.ams.org/books/gsm/032/</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | Book |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Shelving location | Date acquired | Full call number | Accession No. | Koha item type | Inventory number |
|---|---|---|---|---|---|---|---|---|---|---|---|
| ICTS | Rack No 5 | 01/18/2018 | QA312 | 00866 | Book | ||||||
| Mathematics | ICTS | Rack No 5 | 11/23/2023 | QA312 | 02773 | Book | Donated by TIFE CAM |