Techniques of Functional Analysis for Differential and Integral Equations
eBook - ePub

Techniques of Functional Analysis for Differential and Integral Equations

  1. 320 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Techniques of Functional Analysis for Differential and Integral Equations

About this book

Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature. - Provides an introduction to mathematical techniques widely used in applied mathematics and needed for advanced research in ordinary and partial differential equations, integral equations, numerical analysis, fluid dynamics and other areas - Establishes the advanced background needed for sophisticated literature review and research in differential equations and integral equations - Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics

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Information

Publisher
Academic Press
Year
2017
Print ISBN
9780128114261
eBook ISBN
9780128114575
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Preface
  6. Chapter 1: Some Basic Discussion of Differential and Integral Equations
  7. Chapter 2: Vector Spaces
  8. Chapter 3: Metric Spaces
  9. Chapter 4: Banach Spaces
  10. Chapter 5: Hilbert Spaces
  11. Chapter 6: Distribution Spaces
  12. Chapter 7: Fourier Analysis
  13. Chapter 8: Distributions and Differential Equations
  14. Chapter 9: Linear Operators
  15. Chapter 10: Unbounded Operators
  16. Chapter 11: Spectrum of an Operator
  17. Chapter 12: Compact Operators
  18. Chapter 13: Spectra and Green’s Functions for Differential Operators
  19. Chapter 14: Further Study of Integral Equations
  20. Chapter 15: Variational Methods
  21. Chapter 16: Weak Solutions of Partial Differential Equations
  22. Appendix
  23. Bibliography
  24. Index

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Yes, you can access Techniques of Functional Analysis for Differential and Integral Equations by Paul Sacks in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.