Mathematical Physics

CSIR NET 2020 Syllabus

  • Fourier series, Fourier and Laplace transform.
  • Vector algebra and vector calculus. Linear algebra, matrices
  • Elements of complex analysis, analytic functions;
  • Linear ordinary differential equations of first & second order, Special functions (Hermite, Bessel, Laguerre and Legendre functions).
  • Dimensional analysis.
  • Vector algebra and vector calculus.
  • Linear algebra, matrices, 
  • Cayley-Hamilton Theorem. Eigenvalues and eigenvectors.
  • Taylor & Laurent series; poles, residues and evaluation of integrals. 
  • Elementary probability theory, random variables, binomial, Poisson and normal distributions. 
  • Central limit theorem.

GATE 2020

  • Linear vector space: basis, orthogonality and completeness; 
  • matrices; vector calculus; linear differential equations; elements of complex analysis: 
  • Cauchy- Riemann conditions, Cauchy’s theorems, singularities, residue theorem and applications; 
  • Laplace transforms, Fourier analysis; 
  • elementary ideas about tensors: covariant and contravariant tensor, Levi-Civita and Christoffel symbols.

The best Reference book for mathematical Physics

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