Real analysis through modern infinitesimals (Record no. 34697)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02209cam a2200193 i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781107002029 (hardback) |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515 |
| Item number | VAK/R |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Vakil, Nader, |
| 245 10 - TITLE STATEMENT | |
| Title | Real analysis through modern infinitesimals |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cambridge ; |
| -- | New York : |
| Name of publisher | Cambridge University Press, |
| Year of publication | 2011, ©2011 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xix, 565 pages ; |
| 490 0# - SERIES STATEMENT | |
| Series statement | Encyclopedia of mathematics and its applications ; |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "Real Analysis Through Modern Infinitesimals provides a course on mathematical analysis based on Internal Set Theory (IST) introduced by Edward Nelson in 1977. After motivating IST through an ultrapower construction, the book provides a careful development of this theory representing each external class as a proper class. This foundational discussion, which is presented in the first two chapters, includes an account of the basic internal and external properties of the real number system as an entity within IST. In its remaining fourteen chapters, the book explores the consequences of the perspective offered by IST as a wide range of real analysis topics are surveyed. The topics thus developed begin with those usually discussed in an advanced undergraduate analysis course and gradually move to topics that are suitable for more advanced readers. This book may be used for reference, self-study, and as a source for advanced undergraduate or graduate courses"-- |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "This book provides a course in mathematical analysis using the methods of modern infinitesimals, which are developed within the framework of internal set theory (IST), introduced by Edward Nelson in 1977. After motivating IST through an ultrapower construction, the author provides a careful development of the theory in which each external class is represented as a proper class. The basic standard and nonstandard properties of the real numbers follow, together with a thorough discussion of the central topics of analysis that begins with those usually discussed in an advanced undergraduate course and gradually moves to topics suitable for more advanced readers"-- |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Set theory. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | MATHEMATICS / Mathematical Analysis |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BK |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Withdrawn status | |
| Lost status | |
| Damaged status | Collection code | Home library | Current library | Shelving location | Date acquired | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| Stack | Kannur University Central Library | Kannur University Central Library | Stack | 11/09/2015 | 515 VAK/R | 33054 | BK |