A course in analysis. (Record no. 72714)
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| fixed length control field | 03028nmm a2200421Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | 00010548 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220711214205.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190107s2017 si a ob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789813221673 |
| -- | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (pbk.) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 515 |
| 100 1# - AUTHOR NAME | |
| Author | Jacob, Niels. |
| 245 12 - TITLE STATEMENT | |
| Title | A course in analysis. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Singapore : |
| Publisher | World Scientific Publishing Co. Pte Ltd., |
| Year of publication | ©2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (784 p.) : |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "In this third volume of "A Course in Analysis", two topics indispensible for every mathematician are treated: Measure and Integration Theory; and Complex Function Theory. In the first part measurable spaces and measure spaces are introduced and Caratheodory's extension theorem is proved. This is followed by the construction of the integral with respect to a measure, in particular with respect to the Lebesgue measure in the Euclidean space. The Radon-Nikodym theorem and the transformation theorem are discussed and much care is taken to handle convergence theorems with applications, as well as Lp-spaces. Integration on product spaces and Fubini's theorem is a further topic as is the discussion of the relation between the Lebesgue integral and the Riemann integral. In addition to these standard topics we deal with the Hausdorff measure, convolutions of functions and measures including the Friedrichs mollifier, absolutely continuous functions and functions of bounded variation. The fundamental theorem of calculus is revisited, and we also look at Sard's theorem or the Riesz-Kolmogorov theorem on pre-compact sets in Lp-spaces. The text can serve as a companion to lectures, but it can also be used for self-studying. This volume includes more than 275 problems solved completely in detail which should help the student further."-- |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| General subdivision | Study and teaching (Higher) |
| 700 1# - AUTHOR 2 | |
| Author 2 | Evans, Kristian P. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.worldscientific.com/worldscibooks/10.1142/10548#t=toc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 588 ## - | |
| -- | Title from web page (viewed January 17, 2019). |
| 520 ## - SUMMARY, ETC. | |
| -- | Publisher's website. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical analysis |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematics |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Calculus |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Electronic books. |
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