Book Details

• Author: Gerald Goertzel

• Publisher: Dover Publications

• Language: English

• Edition: 2014

• ISBN: 9780486780634

• Number of Pages: 320

• Cover: Paperback

• Dimensions: Not specified

• Weight: Not specified

About the Book

This textbook is a comprehensive and detailed introduction to mathematical methods essential for advanced undergraduates and graduate students. It provides a solid foundation in the mathematical physics concepts involved in the study of linear systems. With a focus on eigenvalues, eigenfunctions, and Green's functions, the book is designed for those who have already encountered differential equations and theoretical physics.

The text is structured into three well-defined sections:

• Systems with Finite Degrees of Freedom: This first part explores systems that can be described by matrices, focusing on the core concepts of eigenvalues and eigenfunctions.

• Continuous Systems: Building on the previous section, the second part extends the mathematical methods for discrete systems to continuous systems, introducing essential new concepts and techniques.

• Approximation Methods: The final section addresses a range of approximation techniques such as perturbation theory, variational methods, and numerical methods, which are crucial in solving complex problems encountered in physical sciences.

In addition to the main content, two appendices offer valuable supplementary material, ensuring that readers have all the tools they need to understand and apply the concepts discussed. This 1960 edition remains an essential text for anyone seeking a deep understanding of mathematical physics and its application to linear systems.