Analysis with Ultrasmall Numbers
eBook - PDF

Analysis with Ultrasmall Numbers

  1. 316 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Analysis with Ultrasmall Numbers

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 Matematica & Analisi funzionale. We have over one million books available in our catalogue for you to explore.

Information

Edition
1

Table of contents

  1. Front Cover
  2. Contents
  3. Preface
  4. Preface for Students
  5. Acknowledgments
  6. Authors
  7. Part I: Elementary Analysis
  8. Chapter 1: Basic Concepts
  9. Chapter 2: Continuity and Limits
  10. Chapter 3: Differentiability
  11. Chapter 4: Integration of Continuous Functions
  12. Part II: Higher Analysis
  13. Chapter 5: Basic Concepts Revisited
  14. Chapter 6: L’Hôpital’s Rule and Higher Order Derivatives
  15. Chapter 7: Sequences and Series
  16. Chapter 8: First Order Differential Equations
  17. Chapter 9: Integration
  18. Chapter 10: Topology of Real Numbers
  19. Answers to Exercises
  20. Appendix: Foundations and Relative Set Theory
  21. Bibliography
  22. Back Cover