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Mathematical Methods in Engineering and Physics
Gary N. Felder, Kenny M. Felder
- 832 pages
- English
- PDF
- Available on iOS & Android
Mathematical Methods in Engineering and Physics
Gary N. Felder, Kenny M. Felder
About This Book
This text is intended for the undergraduate course in math methods, with an audience of physics and engineering majors. As a required course in most departments, the text relies heavily on explained examples, real-world applications and student engagement. Supporting the use of active learning, a strong focus is placed upon physical motivation combined with a versatile coverage of topics that can be used as a reference after students complete the course. Each chapter begins with an overview that includes a list of prerequisite knowledge, a list of skills that will be covered in the chapter, and an outline of the sections. Next comes the motivating exercise, which steps the students through a real-world physical problem that requires the techniques taught in each chapter.
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Table of contents
- Cover
- Title Page
- Copyright
- Contents
- Preface
- Chapter 1 Introduction to Ordinary Differential Equations
- Chapter 2 Taylor Series and Series Convergence
- Chapter 3 Complex Numbers
- Chapter 4 Partial Derivatives
- Chapter 5 Integrals in Two or More Dimensions
- Chapter 6 Linear Algebra I
- Chapter 7 Linear Algebra II
- Chapter 8 Vector Calculus
- Chapter 9 Fourier Series and Transforms
- Chapter 10 Methods of Solving Ordinary Differential Equations
- Chapter 11 Partial Differential Equations
- Chapter 12 Special Functions and ODE Series Solutions
- Chapter 13 Calculus with Complex Numbers
- Appendix A Different Types of Differential Equations
- Appendix B Taylor Series
- Appendix C Summary of Tests for Series Convergence
- Appendix D Curvilinear Coordinates
- Appendix E Matrices
- Appendix F Vector Calculus
- Appendix G Fourier Series and Transforms
- Appendix H Laplace Transforms
- Appendix I Summary: Which PDE Technique Do I Use?
- Appendix J Some Common Differential Equations and Their Solutions
- Appendix K Special Functions
- Appendix L Answers to âCheck Yourselfâ in Exercises
- Index
- EULA