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An introduction to nonstandard real analysis /
The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Orlando :
Academic Press,
1985.
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| Colección: | Pure and Applied Mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 008 | 090320s1985 flu ob 001 0 eng d | ||
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| 050 | 4 | |a QA299.82 |b .H87 1985eb | |
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| 082 | 0 | 4 | |a 515 |2 22 |
| 100 | 1 | |a Hurd, A. E. |q (Albert Emerson), |d 1931- | |
| 245 | 1 | 3 | |a An introduction to nonstandard real analysis / |c Albert E. Hurd, Peter A. Loeb. |
| 260 | |a Orlando : |b Academic Press, |c 1985. | ||
| 300 | |a 1 online resource (xii, 232 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Pure and Applied Mathematics | |
| 520 | |a The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models. | ||
| 505 | 0 | |a Preface. Infinitesimals and The Calculus. Nonstandard Analysis on Superstructures. Nonstandard Theory of Topological Spaces. Nonstandard Integration Theory. Appendix. | |
| 504 | |a Includes bibliographical references (pages 222-224) and index. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 650 | 0 | |a Nonstandard mathematical analysis. | |
| 650 | 6 | |a Analyse math�ematique non standard. |0 (CaQQLa)201-0076405 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Nonstandard mathematical analysis |2 fast |0 (OCoLC)fst01039000 | |
| 650 | 1 | 7 | |a Niet-standaardanalyse. |2 gtt |
| 700 | 1 | |a Loeb, Peter A. | |
| 776 | 0 | 8 | |i Print version: |a Hurd, A.E. (Albert Emerson), 1931- |t Introduction to nonstandard real analysis. |d Orlando : Academic Press, 1985 |z 0123624401 |z 9780123624406 |w (DLC) 84024563 |w (OCoLC)11370976 |
| 830 | 0 | |a Pure and Applied Mathematics. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780123624406 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00798169&volume=118 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00798169/118 |z Texto completo |