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- 316 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Analysis with Ultrasmall Numbers
Book details
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About This Book
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
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Yes, you can access Analysis with Ultrasmall Numbers by Karel Hrbacek,Olivier Lessmann,Richard O'Donovan in PDF and/or ePUB format, as well as other popular books in Matemáticas & Matemáticas general. We have over one million books available in our catalogue for you to explore.
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Table of contents
- 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
- Back Cover