Mathematical Methods in Engineering and Physics
1. Auflage Mai 2015
832 Seiten, Softcover
Wiley & Sons Ltd
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.
* Taylor Series and Series Convergence
* Complex Numbers
* Partial Derivatives
* Integrals in Two or More Dimensions
* Linear Algebra
* Linear Algebra II: The Sequel
* Vector Calculus
* Fourier Series and Transforms
* Methods of Solving Ordinary Differential Equations
* Partial Differential Equations
* Special Functions and ODE Series Solutions
* Calculus with Complex Numbers
Appendices
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
Appendix J. Some Common Differential Equations and Their Solutions
Appendix K. Special Functions
