Harmonic Analysis for Engineers and Applied Scientists

Book Details

• Author: Gregory S. Chirikjian

• Publisher: Dover

• Edition: Updated, Expanded

• Binding: Paperback

• Number of Pages: 850

• Release Date: 20-07-2016

• ISBN: 9780486795645

• Package Dimensions: 9.3 x 6.2 x 1.7 inches

• Languages: English

About the Book

In this updated and expanded edition, Gregory S. Chirikjian provides an accessible, self-contained exploration of harmonic analysis on groups and its wide-ranging applications in engineering. While the Fourier transform is one of the most powerful tools in engineering mathematics, Chirikjian introduces readers to the extended form of harmonic analysis, revealing its potential in solving real-world problems in diverse fields such as robotics, image analysis, mechanics, and beyond.

This volume focuses on the mathematical structure of Lie groups, and presents the theory in an accessible way, minimizing complex proofs and instead emphasizing applications. Topics covered include:

• Robotics: Application of harmonic analysis in robot motion, design, and control

• Mechanics: Advanced techniques in structural analysis and mechanical systems

• Tomography: Applications in medical imaging and diagnostics

• Sensor Calibration and Estimation: Using harmonic analysis in sensor systems for precise measurements

• Liquid Crystal Analysis: An exploration of harmonic methods for analyzing complex fluid dynamics

• Conformational Statistics of Macromolecules: Using group theory to model molecular structures

The text is written for engineers and applied mathematicians, focusing on practical applications while still offering a solid foundation in the mathematical theory. By framing harmonic analysis within the context of Lie groups, Chirikjian's book provides a bridge between pure mathematics and the practical challenges faced by modern engineers.

About the Author

Gregory S. Chirikjian is an expert in applied mathematics and engineering, with a particular focus on robotics, mathematical modeling, and control systems. His work combines mathematical theory with real-world engineering challenges, making this book an essential resource for professionals and students in robotics, engineering, and applied mathematics.