Applications of Tensor Analysis (Dover Books on Mathematics)

Book Details:

• Publisher: Dover

• Author: A.J. McConnell

• Language: English

• Binding: Paperback

• Edition: New

• ISBN: 9780486603735

• Number of Pages: 352

• Dimensions: 7.9 x 5.0 x 1.0 inches

• Part Number: Ill.

• Release Date: 28-03-2003

About The Book:

This book by A.J. McConnell serves as a comprehensive guide to tensor theory and its applications across several fields of advanced mathematics. Aimed at advanced college students, it begins with the essential principles and notations of tensor theory, before delving into the geometric treatment of tensor algebra. The text also covers tensor differentiation theory, offering a robust foundation in the concepts of tensor calculus.

McConnell applies these theoretical frameworks to real-world applications in dynamics, electricity, elasticity, and hydrodynamics, making this text a valuable resource for anyone working in physics, engineering, or applied mathematics. The book is broken down into four main sections: algebraic preliminaries, algebraic geometry, differential geometry, and applied mathematics. These sections cover a broad range of essential topics, including conic sections, affine transformations, and the fundamentals of surface geometry, as well as applications like the dynamics of particles and rigid bodies, electromagnetism, and even special relativity.

Ideal for:

• Advanced undergraduate or graduate students in mathematics or physics.

• Professionals seeking to understand or apply tensor analysis in various scientific domains.