eBook - ePub
Analysis
About this book
Building on the basic concepts through a careful discussion of covalence, (while adhering resolutely to sequences where possible), the main part of the book concerns the central topics of continuity, differentiation and integration of real functions. Throughout, the historical context in which the subject was developed is highlighted and particular attention is paid to showing how precision allows us to refine our geometric intuition. The intention is to stimulate the reader to reflect on the underlying concepts and ideas.
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Yes, you can access Analysis by Ekkehard Kopp in PDF and/or ePUB format, as well as other popular books in Mathematik & Funktionsanalyse. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Other titles in this series
- Copyright
- Series Preface
- Preface
- Acknowledgements
- Chapter 1: Introduction: Why We Study Analysis
- Chapter 2: Convergent Sequences and Series
- Chapter 3: Completeness and Convergence
- Chapter 4: Functions Defined by Power Series
- Chapter 5: Functions and Limits
- Chapter 6: Continuous Functions
- Chapter 7: Continuity on Intervals
- Chapter 8: Differentiable Real Functions
- Chapter 9: Mean Values and Taylor Series
- Chapter 10: The Riemann Integral
- Chapter 11: Integration Techniques
- Chapter 12: What Next? Extensions and Developments
- Appendix A: Program Listings
- Solutions to Exercises
- Index
