Mathematical Methods in Engineering and Physics

Gary N. Felder, Kenny M. Felder

• Publisher: Wiley
• Year: 2015
• Print ISBN: 9781118449608
• eBook ISBN: 9781119045847
• Edition: 1
• Topic: Physical Sciences
• Subtopic: Mathematical & Computational Physics

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.

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 “Check Yourself” in Exercises
• Index
• EULA