傑夫基編著的《物理學家用的張量和群論導論》是一部講述張量和群論的物理學專業的教程，用直觀、嚴謹的方法介紹張量和群論以及其在理論物理和應用數學的重要性。本書旨在用一種比較獨特的框架，揭開張量的神秘面紗，使得讀者在經典物理和量子物理的背景理解它。將物理計算中的許多流形公式和數學中的抽像的或者*加概念性公式的聯繫起來，對張量和群論的的人來說，這項工作是很歡迎的。

Part Ⅰ Linear Algebra and Tensors
1 A Quick Introduction to Tensors
2 Vector Spaces
2.1 Definition and Examples
2.2 Span, Linear Independence, and Bases
2.3 Components
2.4 Linear Operators
2.5 Dual Spaces
2.6 Non-degenerate Hermitian Forms
2.7 Non-degenerate Hermitian Forms and Dual Spaces
2.8 Problems
3 Tensors
3.1 Definition and Examples
3.2 Change of Basis
3.3 Active and Passive Transformations
3.4 The Tensor Product Definition and Properties
3.5 Tensor Products of V and V*
3.6 Applications of the Tensor Product in Classical Physics
3.7 Applications of the Tensor Product in Quantum Physics
3.8 Symmetric Tensors
3.9 Antisymmetric Tensors
3.10 Problems
Part Ⅱ Group Theory
4 Groups, Lie Groups, and Lie Algebras
4.1 Groups--Definition and Examples
4.2 The Groups of Classical and Quantum Physics
4.3 Homomorphism and Isomorphism
4.4 From Lie Groups to Lie Algebras
4.5 Lie Algebras--Definition, Properties, and Examples
4.6 The Lie Algebras of Classical and Quantum Physics
4.7 Abstract Lie Algebras
4.8 Homomorphism and Isomorphism Revisited
4.9 Problems
5 Basic Representation Theory
5.1 Representations: Definitions and Basic Examples
5.2 Further Examples
5.3 Tensor Product Representations
5.4 Symmetric and Antisymmetric Tensor Product Representations
5.5 Equivalence of Representations
5.6 Direct Sums and Irreducibility
5.7 More on Irreducibility
5.8 The Irreducible Representations of su(2), SU(2) and SO(3)
5.9 Real Representations and Complexifications
5.10 The Irreducible Representations of sl(2, C)R, SL(2, C) andS0(3, 1)o
5.11 Irreducibility and the Representations of O(3, 1) and Its Double Covers
5.12 Problems
6 The Wigner-Eckart Theorem and Other Applications
6.1 Tensor Operators, Spherical Tensors and Representation Operators
6.2 Selection Rules and the Wigner-Eckart Theorem
6.3 Gamma Matrices and Dirac Bilinears
6.4 Problems
Appendix Complexifications of Real Lie Algebras and the Tensor
Product Decomposition of sl(2, C)R Representations
A.1 Direct Sums and Complexifications of Lie Algebras
A.2 Representations of Complexified Lie Algebras and the Tensor Product Decomposition of s[(2, C)R Representations
References
Index