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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 |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boca Raton :
CRC Press, Taylor & Francis Group,
[2015]
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| Colección: | Textbooks in mathematics (Boca Raton, Fla.)
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Notas: | "A Chapman & Hall book." |
| Descripción Física: | 1 online resource (xxvii, 294 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781498702669 149870266X 9781498702652 1498702651 1322633878 9781322633879 |