Advanced Engineering Mathematics with MATLAB, Fourth Edition builds upon three successful previous editions. It is written for today’s STEM (science, technology, engineering, and mathematics) student.

Three assumptions under lie its structure: (1) All students need a firm grasp of the traditional disciplines of ordinary and partial differential equations, vector calculus and linear algebra. (2) The modern student must have a strong foundation in transform methods because they provide the mathematical basis for electrical and communication studies. (3) The biological revolution requires an understanding of stochastic (random) processes. The chapter on Complex Variables, positioned as the first chapter in previous editions, is now moved to Chapter 10.

The author employs MATLAB to reinforce concepts and solve problems that require heavy computation. Along with several updates and changes from the third edition, the text continues to evolve to meet the needs of today’s instructors and students.  


  • Complex Variables, formerly Chapter 1, is now Chapter 10.
  • A new Chapter 18: Itô’s Stochastic Calculus.
  • Implements numerical methods using MATLAB, updated and expanded
  • Takes into account the increasing use of probabilistic methods in engineering and the physical sciences
  • Includes many updated examples, exercises, and projects drawn from the scientific and engineering literature
  • Draws on the author’s many years of experience as a practitioner and instructor
  • Gives answers to odd-numbered problems in the back of the book
  • Offers downloadable MATLAB code at www.crcpress.com
  • chapter 3|48 pages

    Linear Algebra

    chapter 4|42 pages

    Vector Calculus

    chapter 5|52 pages

    Fourier Series

    chapter 6|58 pages

    The Sturm-Liouville Problem

    chapter 7|39 pages

    The Wave Equation

    chapter 8|47 pages

    The Heat Equation

    chapter 9|55 pages

    Laplace’s Equation

    chapter 10|68 pages

    Complex Variables

    chapter 11|49 pages

    The Fourier Transform

    chapter 12|108 pages

    The Laplace Transform

    chapter 13|36 pages

    The Z-Transform

    chapter 14|21 pages

    The Hilbert Transform

    chapter 15|78 pages

    Green’s Functions

    chapter 16|51 pages


    chapter 17|39 pages

    Random Processes

    chapter 18|50 pages

    Itô’s Stochastic Calculus