An Introduction to Tensors and Group Theory for Physicists

✍ Scribed by Nadir Jeevanjee (auth.)

• Publisher: Birkhäuser Boston
• Year: 2011
• Tongue: English
• Leaves: 247
• Edition: 1st Edition
• Category: Library

✦ Synopsis

An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystify tensors and provide a unified framework for understanding them in the context of classical and quantum physics. Connecting the component formalism prevalent in physics calculations with the abstract but more conceptual formulation found in many mathematical texts, the work will be a welcome addition to the literature on tensors and group theory. Advanced undergraduate and graduate students in physics and applied mathematics will find clarity and insight into the subject in this textbook.

✦ Table of Contents

Front Matter....Pages I-XVI
Front Matter....Pages 1-1
A Quick Introduction to Tensors....Pages 3-7
Vector Spaces....Pages 9-37
Tensors....Pages 39-83
Front Matter....Pages 85-85
Groups, Lie Groups, and Lie Algebras....Pages 87-143
Basic Representation Theory....Pages 145-212
The Wigner–Eckart Theorem and Other Applications....Pages 213-226
Back Matter....Pages 227-242

✦ Subjects

Mathematical Physics;Mathematical Methods in Physics;Linear and Multilinear Algebras, Matrix Theory;Applications of Mathematics;Quantum Physics