Applied Exterior Calculus (Dover Books on Mathematics)

Book Details:

• Publisher: Dover

• Author: Dominic G.B. Edelen

• Language: English

• Binding: Paperback

• Edition: Revised Edition

• ISBN: 9780486438719

• Number of Pages: 528

• Dimensions: 9.2 x 6.1 x 0.9 inches

• Release Date: 16-11-2011

About The Book:

"Exterior Calculus and Its Applications" by Dominic G.B. Edelen is a comprehensive text designed for upper-level undergraduates and graduate students who have a background in algebra and analysis. This book presents a thorough exploration of exterior calculus and its applications to a variety of physical disciplines.

The text is divided into three distinct parts, each focusing on different aspects of the exterior calculus and its real-world applications:

1. Introduction to Exterior Calculus: The first part of the book covers the essential elements of exterior calculus, providing students with the foundational knowledge needed to understand this advanced mathematical tool. It also includes a number of abbreviated applications to help illustrate how exterior calculus can be used in practice.

2. Applications of Exterior Calculus: The second part delves deeper into specific applications of exterior calculus, helping students understand how the concepts can be applied to a range of problems in physics and other scientific fields.

3. In-Depth Studies in Physical Disciplines: The final part of the book focuses on the application of exterior calculus in advanced physical disciplines. Topics include classical thermodynamics, irreversible thermodynamics, electrodynamics with electric and magnetic charges, and the modern theory of gauge fields.

Key Features:

• Comprehensive Coverage: This book provides a detailed and structured approach to understanding exterior calculus, making it accessible for students who are new to the topic while also offering in-depth analysis for more advanced learners.

• Real-World Applications: The text highlights a range of applications in physics, making the material relevant and useful for students in various scientific disciplines.

• Illustrated Edition: With numerous illustrations, the book aids in visualizing the concepts and applications discussed, making complex topics easier to understand.

Ideal for:

• Upper-Level Students: Perfect for advanced undergraduates and graduate students studying mathematics, physics, and engineering.

• Researchers and Professionals: Those working in fields where exterior calculus is applied, such as theoretical physics, engineering, and mathematical sciences, will find this book a valuable resource.

About the Author:
Dominic G.B. Edelen is a recognized authority in the field of mathematics and physics, with extensive experience in applying exterior calculus to various physical theories. His clear and methodical approach to teaching makes this book a valuable resource for students and professionals alike.

Conclusion:
This text is a must-have for anyone seeking to deepen their understanding of exterior calculus and its applications in advanced physical theories. The revised edition enhances the clarity and accessibility of the material, ensuring it remains a vital learning tool for students and professionals in the field.