# ►Workshop 3 / Series 1 of APT (Academy of Physics Teachers) Workshop Series in Theoretical Physics

**Workshop Series in Theoretical Physics**

*organized by*APT**Series I : Mathematical Physics**

**Last date for registration : January 20.**

**Account holder : SHAJU K Y**

**SB account number : 33518390497**

**Bank & Branch : SBI, Irinjalakuda**

**IFSC code : SBIN0008618**

**Suggested Reading material :**"Tensors" in Mathematical Methods for Physics and Engineering by Riley, Hobson and Bence [Chapter 26 in 3rd edition (2006), Cambridge University Press; chapter 19 in Cambridge low-price 1st edition (1999).]

**Lecture 1: Multilinear Functionals**

Linear, Bilinear and Multilinear functions, tensors, rank of a tensor, Cartesian tensors, Transformation properties, Tensor notation: free indices, repeated indices, Einstein summation.

**Lecture 2: Tensor Algebra**

**Lecture 3: Physical Applications of Tensors**

Moment of Inertia tensor, dielectric constant tensor of a birefringent material, electrical conductivity tensor of a crystal, Maxwell stress tensor, Four vectors and Covariant form of (i) Charge continuity equation (ii) Maxwell's equation (iii) Klein Gordon equation and (iv) Dirac equation.

**Lecture 4: Tensor Calculus**

Tensor fields, Differentiation of tensor fields, Tensor fields in Curvilinear coordinates, Derivatives of basis vectors and Christoffel symbols, Covariant differentiation, Gradiant, Divergence and Curl in tensor notation, Geodesics.

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