Advanced Engineering Mathematics with MATLAB

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Advanced Engineering Mathematics with MATLAB

Introduction

Advanced Engineering Mathematics with MATLAB

    In the four previous editions the author presented a text firmly grounded in the mathematics that engineers and scientists must understand and know how to use. Tapping into decades of teaching at the US Navy Academy and the US Military Academy and serving for twenty-five years at (NASA) Goddard Space Flight, he combines a teaching and practical experience that is rare among authors of advanced engineering mathematics books.

    To assist in the choice of topics included in this new edition, the author reviewed the syllabi of various engineering mathematics courses that are taught at a wide variety of schools. Due to time constraints an instructor can select perhaps three to four topics from the book, the most likely being ordinary differential equations, Laplace transforms, Fourier series and separation of variables to solve the wave, heat, or Laplace's equation. Laplace transforms are occasionally replaced by linear algebra or vector calculus.

Electrical Installation at Sewage Treatment Plants

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Table Of Contents

Introduction

List of Definitions

Chapter 1: First-Order Ordinary Differential Equations 1

Chapter 2: Higher-Order Ordinary Differential Equations

Chapter 3: Linear Algebra

Chapter 4: Vector Calculus

Chapter 5: Fourier Series

Chapter 6: The Fourier Transform

Chapter 7: The Laplace Transform

Chapter 8: The Wave Equation

Chapter 9: The Heat Equation

Chapter 10: Laplace’s Equation

Chapter 11: The Sturm-Liouville Problem

Chapter 12: Special Functions

Appendix A: Derivation of the Laplacian in Polar Coordinates 565

Appendix B: Derivation of the Laplacian in Spherical Polar Coordinates 566

Answers

Index

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