Applied Fourier Analysis

Concise yet thorough overview provides self-contained introduction to theory

Covers a broad range of state-of-the-art applications in many disciplines, including medical imaging and radar processing

Abundant problems, exercises, and projects reinforce integration of theory with applications

Useful for both undergraduates and graduates in mathematics and engineering-related sciences

Adaptable to one and two semester courses and independent study

Concise yet thorough overview provides self-contained introduction to theory Covers a broad range of state-of-the-art applications in many disciplines, including medical imaging and radar processing Abundant problems, exercises, and projects reinforce integration of theory with applications Useful for both undergraduates and graduates in mathematics and engineering-related sciences Adaptable to one and two semester courses and independent study Includes supplementary material: sn.pub/extras

Autorentext

Tim Olson is an Associate Professor of Mathematics at the University of Florida. His research focuses on applications of Fourier Analysis to medical imaging and radar processing, electromagnetics, and other related fields.
He is also an experienced fly-fisherman and a fishing guide in the rivers of Montana.

Inhalt
Introduction: From Linear Algebra to Linear Analysis.- Basic Fourier Series.- The Discrete Fourier Transform.- The Fourier Transform.- Sampling and Interpolation.- Digital Communications.- Radar Processing.- Image Processing.- Medical Imaging.- Partial Differential Equations.