Select Ideas in Partial Differential Equations
eBook - PDF

Select Ideas in Partial Differential Equations

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

Select Ideas in Partial Differential Equations

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About This Book

This text provides an introduction to the applications and implementations of partial differential equations. The content is structured in three progressive levels which are suited for upper–level undergraduates with background in multivariable calculus and elementary linear algebra (chapters 1–5), first– and second–year graduate students who have taken advanced calculus and real analysis (chapters 6-7), as well as doctoral-level students with an understanding of linear and nonlinear functional analysis (chapters 7-8) respectively. Level one gives readers a full exposure to the fundamental linear partial differential equations of physics. It details methods to understand and solve these equations leading ultimately to solutions of Maxwell's equations. Level two addresses nonlinearity and provides examples of separation of variables, linearizing change of variables, and the inverse scattering transform for select nonlinear partial differential equations. Level three presents rich sources of advanced techniques and strategies for the study of nonlinear partial differential equations, including unique and previously unpublished results. Ultimately the text aims to familiarize readers in applied mathematics, physics, and engineering with some of the myriad techniques that have been developed to model and solve linear and nonlinear partial differential equations.

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Yes, you can access Select Ideas in Partial Differential Equations by Peter J Costa in PDF and/or ePUB format, as well as other popular books in Mathématiques & Mathématiques générales. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Springer
Year
2022
ISBN
9783031024344
Topic
Mathématiques
Subtopic
Mathématiques générales

Table of contents

  1. Cover
  2. Copyright Page
  3. Title Page
  4. Dedication
  5. Contents
  6. Preface
  7. Acknowledgments
  8. Introduction
  9. Chapter 1: The Equations of Maxwell
  10. Chapter 2: Laplace’s Equation
  11. Chapter 3: Fourier Series, Bessel Functions, and Mathematical Physics
  12. Chapter 4: Fourier Transform, Heat Conduction, and the Wave Equation
  13. Chapter 5: The Three–Dimensional Wave Equation
  14. Chapter 6: An Introduction to Nonlinear Partial Differential Equations
  15. Chapter 7: Raman Scattering and Numerical Methods
  16. Chapter 8: The Hartman–Grobman Theorem
  17. Appendix: MATLAB® Commands and Functions
  18. References
  19. Index