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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.

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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.

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The best Reference book for mathematical Physics