Measure theory and integration (Record no. 4237)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02405nam a2200337Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250125153107.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 241112s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821887189 (pbk.) |
| Terms of availability | ₹ 1270.00 |
| 040 ## - CATALOGING SOURCE | |
| Language of cataloging | ENG |
| Transcribing agency | IISER-BPR |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | ENG |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.42 |
| Item number | TAY |
| Edition number | 23rd |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Taylor, Michael |
| 9 (RLIN) | 1097 |
| 222 ## - KEY TITLE | |
| Key title | Mathematics |
| 245 #0 - TITLE STATEMENT | |
| Title | Measure theory and integration |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Rhode Island: |
| Name of publisher, distributor, etc | American Mathematical Society, |
| Date of publication, distribution, etc | c2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii, 319p. : |
| Dimensions | 24cm |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Graduate Studies in Mathematics |
| Volume number/sequential designation | Vol. 76 |
| 9 (RLIN) | 2623 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes appendices, bibliographic references, symbol index and subject index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This self-contained treatment of measure and integration begins with a brief review of the Riemann integral and proceeds to a construction of Lebesgue measure on the real line. From there the reader is led to the general notion of measure, to the construction of the Lebesgue integral on a measure space, and to the major limit theorems, such as the Monotone and Dominated Convergence Theorems. The treatment proceeds to Lp<br/> spaces, normed linear spaces that are shown to be complete (i.e., Banach spaces) due to the limit theorems. Particular attention is paid to L2<br/> spaces as Hilbert spaces, with a useful geometrical structure.<br/><br/>Having gotten quickly to the heart of the matter, the text proceeds to broaden its scope. There are further constructions of measures, including Lebesgue measure on n<br/>-dimensional Euclidean space. There are also discussions of surface measure, and more generally of Riemannian manifolds and the measures they inherit, and an appendix on the integration of differential forms. Further geometric aspects are explored in a chapter on Hausdorff measure. The text also treats probabilistic concepts, in chapters on ergodic theory, probability spaces and random variables, Wiener measure and Brownian motion, and martingales.<br/><br/>This text will prepare graduate students for more advanced studies in functional analysis, harmonic analysis, stochastic analysis, and geometric measure theory. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 9 (RLIN) | 2624 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analysis |
| 9 (RLIN) | 2625 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Theory of measure and integration |
| 9 (RLIN) | 2626 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Measure theory |
| 9 (RLIN) | 2627 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Integration |
| 9 (RLIN) | 2628 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| 947 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| a | 1270 |
| 948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) | |
| Series part designator, SPT (RLIN) | 22 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Vigyanpuri Campus | Vigyanpuri Campus | 24/01/2025 | 14 | 990.60 | 515.42 TAY | M00051 | 24/01/2025 | 1270.00 | 24/01/2025 | Books | Acquired through NBHM Library Grant 2024-2025. |
