#1
2nd June 2015, 02:00 PM
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IIT Mumbai Applied Mathematics
I have done B.Sc course and now I want to do M.Sc. in Applied Mathematics from Indian Institute of Technology Bombay so tell me the details of eligibility criteria and the admission process? When the admissions will start in Indian Institute of Technology Bombay?
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#2
11th January 2016, 03:38 PM
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Re: IIT Mumbai Applied Mathematics
I am a student of the IIT Mumbai so I need some books for the Applied Mathematics so can you sugget me some books
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#3
11th January 2016, 03:39 PM
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Re: IIT Mumbai Applied Mathematics
Hi friend as you want some good books for the IIT Mumbai Applied Mathematics so I am giving you the same with course SI 507 Numerical Analysis 3 0 2 8 J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, 2nd ed., Texts in Applied Mathematics, Vol. 12, Springer Verlag, New York, 1993. SI 512 Finite Difference Methods for Partial Differential Equations Partial Differential Equations of Applied Mathematics, 2nd ed., Wiley, 1989. MA 417 Ordinary Differential Equations 3 1 0 8 L. Perko, Differential Equations and Dynamical Systems, Texts in Applied Mathematics, Vol. 7, 2nd ed., Springer Verlag, New York, 1998. MA 508 Mathematical Methods 3 1 0 6 J. Kevorkian and J.D. Cole, Perturbation Methods in Applied Mathematics, Springer Verlag, Berlin, 1985. MA 515 Partial Differential Equations 3 1 0 8 E. Zauderer, Partial Differential Equations of Applied Mathematics, 2nd ed., John Wiley and Sons, New York, 1989. MA 540 Numerical Methods for Partial Differential Equations 2 1 0 6 J.W. Thomas, Numerical Partial Differential Equations : Finite Difference Methods, Texts in Applied Mathematics, Vol. 22, Springer Verlag, NY, 1999. J.W. Thomas, Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations, Texts in Applied Mathematics, Vol. 33, Springer Verlag, NY, 1999. I am also giving you the syllabus for one of the above subject SI 507 Numerical Analysis 3 0 2 8 Principles of floating point computations and rounding errors. Systems of Linear Equations: factorization methods, pivoting and scaling, residual error correction method. Iterative methods: Jacobi, Gauss-Seidel methods with convergence analysis, conjugate gradient methods. Eigenvalue problems: only implementation issues. Nonlinear systems: Newton and Newton like methods and unconstrained optimization. Interpolation: review of Lagrange interpolation techniques, piecewise linear and cubic splines, error estimates. Approximation : uniform approximation by polynomials, data fitting and least squares approximation. Numerical Integration: integration by interpolation, adaptive quadratures and Gauss methods Initial Value Problems for Ordinary Differential Equations: Runge-Kutta methods, multi-step methods, predictor and corrector scheme, stability and convergence analysis. Two Point Boundary Value Problems : finite difference methods with convergence results. Lab. Component: Implementation of algorithms and exposure to public domain packages like LINPACK and ODEPACK. Texts / References K.E. Atkinson, An Introduction to Numerical Analysis, Wiley, 1989. S.D. Conte and C. De Boor, Elementary Numerical Analysis %G–%@ An Algorithmic Approach, McGraw-Hill, 1981. K. Eriksson, D. Estep, P. Hansbo and C. Johnson, Computational Differential Equations, Cambridge Univ. Press, Cambridge, 1996. G.H. Golub and J.M. Ortega, Scientific Computing and Differential Equations: An Introduction to Numerical Methods, Academic Press, 1992. J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, 2nd ed., Texts in Applied Mathematics, Vol. 12, Springer Verlag, New York, 1993. |
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