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UGC-CSIR NET (JRF & LS) Physical Science (Old Edition)

UGC-CSIR NET (JRF & LS) Physical Science (Old Edition)

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Language English
Contributor(s) W. Malemnganba Chenglei
Binding Paperback
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Paperback, April 2, 2012

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Overview: UGC-CSIR NET

Contents Unit-I 1. Dimensional Analysis,Vectors and Matrices Dimensional Analysis Linear Algebra, Matrices, Cayley-Hamilton Vector Algebra and Vector Calculus Theorem Eigen values and Eigen vectors 2. Linear Differential Equations and Special Functions Special Functions (Hermite, Bessel, Laguerre and Legendre Functions). 3. Fourier Series and Laplace Transform Fourier Series Fourier and Laplace Transforms 4. Complex Analysis and Probability Elements of Complex Analysis. Analytic Functions. Random Variables. Taylor Laurent Series Poles, Residues and Evaluation of Integrals. Binomial, Poisson and Normal Distributions. Central Limit Theorem. 5. Greens Function and Partial Differential Equations Greens Function. heat equations in two and three dimensions). Partial Differential Equations (Laplace, wave and 6. Numerical Methods Elements of Computational Techniques: Root of Functions, Interpolation, Extrapolation. Solution of First Order Differential Equation Using Runge-Kutta Method. Integration by Trapezoid and Simpsons Rule. Finite Difference Methods. 7. Tensors and Group Theory Tensors. Elementary Group Theory Unit-II 8. Newtonian Mechanics and Rigid Body Dynamics Newtons Laws. Central Force Motions. Dynamical Systems. Two Body Collisions-Scattering in Laboratory and Centre of Mass Frames. Phase Space Dynamics. Stability Analysis. Rigid Body Dynamics-Moment of Inertia, Tensor. Non-inertial Frames and Pseudo Forces. 9. Lagrangian and Hamiltonian Approach Variational Principle. Conservation Laws and Cyclic Coordinates. Generalized Coordinates. Periodic Motion: Small Oscillations, Normal Lagrangian and Hamiltonian Formalism and Modes. Equations of Motion. 10. Special Theory of Relativity Special Theory of Relativity- Lorentz Transformations. Relativistic Kinematics and Mass-Energy Equivalence. Unit-III 11. Basic Electrostatics and Magneto statics Electrostatics: Gausss Law and its Applications. Magneto statics : Bi
Product Details
Language English
Publication Date April 2, 2012
Publisher Arihant
Contributor(s) W. Malemnganba Chenglei
Binding Paperback
Edition 2012
Page Count 1300
ISBN 10 9350750449
ISBN 13 9789350750445
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