Continuous Functions
eBook - ePub

Continuous Functions

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Continuous Functions

Book details
Table of contents
Citations

About This Book

This book is the second of a set dedicated to the mathematical tools used in partial differential equations derived from physics. It presents the properties of continuous functions, which are useful for solving partial differential equations, and, more particularly, for constructing distributions valued in a Neumann space. The author examines partial derivatives, the construction of primitives, integration and the weighting of value functions in a Neumann space. Many of them are new generalizations of classical properties for values in a Banach space. Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers, without restricting or generalizing the results.

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Information

Publisher
Wiley-ISTE
Year
2020
ISBN
9781119777274
Edition
1
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Cover
  2. Table of Contents
  3. Title Page
  4. Copyright Page
  5. Introduction
  6. Familiarization with Semi-normed Spaces
  7. Notations
  8. Chapter 1: Spaces of Continuous Functions
  9. Chapter 2: Differentiable Functions
  10. Chapter 3: Differentiating Composite Functions and Others
  11. Chapter 4: Integrating Uniformly Continuous Functions
  12. Chapter 5: Properties of the Measure of an Open Set
  13. Chapter 6: Additional Properties of the Integral
  14. Chapter 7: Weighting and Regularization of Functions
  15. Chapter 8: Line Integral of a Vector Field Along a Path
  16. Chapter 9: Primitives of Continuous Functions
  17. Chapter 10: Additional Results: Integration on a Sphere
  18. Appendix: Reminders
  19. Bibliography
  20. Index
  21. Other titles from ISTE in Mathematics and Statistics
  22. End User License Agreement