Advanced Topics in Applied Mathematics: for Engineering and the Physical Sciences

This book is ideal for engineering, physical science and applied mathematics students and professionals who want to enhance their mathematical knowledge. Advanced Topics in Applied Mathematics covers four essential applied mathematics topics: Green's functions, integral equations, Fourier transforms and Laplace transforms. Also included is a useful discussion of topics such as the Wiener-Hopf method, finite Hilbert transforms, the Cagniard-De Hoop method and the proper orthogonal decomposition. This book reflects Sudhakar Nair's long classroom experience and includes numerous examples of differential and integral equations from engineering and physics to illustrate the solution procedures. The text includes exercise sets at the end of each chapter and a solutions manual, which is available for instructors.

Table of Contents

1. Green's functions; 2. Integral functions; 3. Fourier transforms; 4. Laplace transforms.

Author Biography

Sudhakar Nair is the Associate Dean for Academic Affairs of the Graduate College, Professor of Mechanical Engineering and Aerospace Engineering and Professor of Applied Mathematics at the Illinois Institute of Technology in Chicago. He is a Fellow of the ASME, an Associate Fellow of the AIAA and a member of the American Academy of Mechanics as well as Tau Beta Pi and Sigma Xi. Professor Nair is the author of numerous research articles and Introduction to Continuum Mechanics (2009).