Matrices and Tensors in Physics
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
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Matrices and Tensors in Physics

Matrices and Tensors in Physics


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About the Book

The first part of this book begins with an introduction to matrices through linear transformations on vector spaces, followed by a discussion on the algebra of matrices, special matrices, linear equations, the eigenvalue problem, bilinear and quadratic forms, Kronecker sum and product of matrices. Other matrices which occur in physics, such as the rotation matrix, Pauli spin matrices and Dirac matrices, are then presented. A brief account of infinite matrices from the point of view of matrix formulation of quantum mechanics is also included. The emphasis in this part is on linear dependence and independence of vectors and matrices, linear combinations, independent parameters of various special matrices and such other concepts as help the student in obtaining a linear understanding of the subject. A simplified proof of the theorem that a common set of eigenvectors can be found for two commuting matrices is given. The second part deals with Cartesian and general tensors. Many physical situations are discussed which require the use of second and higher rank tensors, such as effective mass tensor, moment of inertia tensor, stress, strain and elastic constants, piezoelectric strain coefficient tensor, etc. Einstein's summation convention is explained in detail and common errors arising in its use are pointed out. Rules for checking the correctness of tensor equations are given. This is followed by four-vectors in special relativity and covariant formulation of electrodynamics. This part comes to an end with the concept of parallel displacement of vectors in Riemannian space and covariant derivative of tensors, leading to the curvature tensors and its properties. Appendix I has expanded and two new appendices have been added in this edition.

About the Author :
A.W. Joshi is a professor of physics at the University of Poona. He received his Ph.D from the same university in 1967, for which he worked at the National Chemical Laboratory in Pune. He then worked at the Tata Institute of Fundamental Research, Mumbai, H H Wills Physics Laboratory, University of Bristol, UK, Meerut University, Himachal Pradesh University, Shimla and moved to University of Poona in 1984. He has published about 100 popular, semipopular, research, educational and social articles in newspapers, magazines and journals, including popular science articles in Indian languages. He has written two other books and edited one.


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Product Details
  • ISBN-13: 9788122405637
  • Publisher: New Age International Pvt Ltd Publishers
  • Publisher Imprint: New Age International Pvt Ltd Publishers
  • Language: English
  • ISBN-10: 8122405630
  • Publisher Date: 01 Dec 2008
  • Binding: Paperback
  • No of Pages: 356


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