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Analysis with ultrasmall numbers /
Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon-delta methods. Student...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boca Raton :
CRC Press, Taylor & Francis Group,
[2015]
|
| Colección: | Textbooks in mathematics (Boca Raton, Fla.)
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
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| 003 | OCoLC | ||
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| 100 | 1 | |a Hrbacek, Karel, |d 1944- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJhmPpvqBPRVCHc8YVvrbd | |
| 245 | 1 | 0 | |a Analysis with ultrasmall numbers / |c Karel Hrbacek, Olivier Lessmann, Richard O'Donovan. |
| 264 | 1 | |a Boca Raton : |b CRC Press, Taylor & Francis Group, |c [2015] | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (xxvii, 294 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a Textbooks in Mathematics | |
| 500 | |a "A Chapman & Hall book." | ||
| 520 | |a Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon-delta methods. Students can fully prove fundamental results, such as the Extreme Value Theorem, from the axioms immediately, without needing to master notions of supremum or compactness. The book is suitable for a calculus course at the undergraduate or high school level or for self-study with an emphasis on nonstandard. | ||
| 505 | 0 | |a Front Cover; Contents; Preface; Preface for Students; Acknowledgments; Authors; Part I: Elementary Analysis; Chapter 1: Basic Concepts; Chapter 2: Continuity and Limits; Chapter 3: Differentiability; Chapter 4: Integration of Continuous Functions; Part II: Higher Analysis; Chapter 5: Basic Concepts Revisited; Chapter 6: L'Hôpital's Rule and Higher Order Derivatives; Chapter 7: Sequences and Series; Chapter 8: First Order Differential Equations; Chapter 9: Integration; Chapter 10: Topology of Real Numbers; Answers to Exercises; Appendix: Foundations and Relative Set Theory; Bibliography. | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Calculus. | |
| 650 | 0 | |a Calculus |x History. | |
| 650 | 6 | |a Calcul infinitésimal. | |
| 650 | 6 | |a Calcul infinitésimal |x Histoire. | |
| 650 | 7 | |a calculus. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Calculus |2 fast | |
| 655 | 7 | |a History |2 fast | |
| 700 | 1 | |a Lessmann, Olivier, |e author. | |
| 700 | 1 | |a O'Donovan, Richard |q (Richard John), |d 1953- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjtmMJWPDD8v8xdQhcbMHd | |
| 758 | |i has work: |a Analysis with ultrasmall numbers (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFHJRpttWp6pqpwQWP9cHd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Hrbacek, Karel, 1944- |t Analysis with ultrasmall numbers |z 9781498702652 |w (DLC) 2014039044 |w (OCoLC)883647668 |
| 830 | 0 | |a Textbooks in mathematics (Boca Raton, Fla.) | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1719856 |z Texto completo |
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