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Applied mathematical methods / Bhaskar Dasgupta

By: Material type: TextTextPublication details: Pearson Education, New Delhi : 2007Description: xvii, 505 pISBN:
  • 9798131700685
Subject(s): DDC classification:
  • 510 D2296
Contents:
1. Preliminary background 2. Matrices and linear transformations 3. Operational fundamentals of linear algebra 4. Systems of linear equations 5. Gauss elimination family of methods 6. Special systems and special methods 7. Numerical aspects in linear systems 8. Eigenvalues and eigenvectors 9. Diagonalization and similarity transformations 10. Jacobi and givens rotation methods 11. Householder transformation and tridiagonal matrices 12. Qr decomposition method 13. Eigenvalue problem of general matrices 14. Singular value decomposition 15. Vector spaces: fundamental concepts 16. Topics in multivariate calculus 17. Vector analysis: curves and surfaces 18. Scalar and vector fields 19. Polynomial equations 20. Solution of non liner equations and systems 21. Optimization: introduction 22. Multivariate optimization 23. Methods of nonlinear optimization 24. Constrained optimization 25. Linear and quadratic programming problems 26. Interpolation and approximation 27. Basic methods of numerical integration 28. Advanced topics in numerical integration 29. Numerical solution of ordinary differential equations 30. Ode solutions: advanced issues 31. Existence and uniqueness theory 32. First order ordinary differential equations 33. Second order liner homogeneous ode's 34. Second order linear non-homogeneous ode's 35. Higher order linear ode's 36. Laplace transforms 37. Ode systems 38. Stability of dynamic systems 39. Series solutions and special functions 40. Sturm-liouville theory 41. Fouriers series and integrals 42. Fourier transforms 43. Minimax approximation 44. Partial differential equations 45. Analytic functions 46. Integrals in the complex plane singularities of complex functions 47. Variational calculus
List(s) this item appears in: Mathematics
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includes index

1. Preliminary background
2. Matrices and linear transformations
3. Operational fundamentals of linear algebra
4. Systems of linear equations
5. Gauss elimination family of methods
6. Special systems and special methods
7. Numerical aspects in linear systems
8. Eigenvalues and eigenvectors
9. Diagonalization and similarity transformations
10. Jacobi and givens rotation methods
11. Householder transformation and tridiagonal matrices
12. Qr decomposition method
13. Eigenvalue problem of general matrices
14. Singular value decomposition
15. Vector spaces: fundamental concepts
16. Topics in multivariate calculus
17. Vector analysis: curves and surfaces
18. Scalar and vector fields
19. Polynomial equations
20. Solution of non liner equations and systems
21. Optimization: introduction
22. Multivariate optimization
23. Methods of nonlinear optimization
24. Constrained optimization
25. Linear and quadratic programming problems
26. Interpolation and approximation
27. Basic methods of numerical integration
28. Advanced topics in numerical integration
29. Numerical solution of ordinary differential equations
30. Ode solutions: advanced issues
31. Existence and uniqueness theory
32. First order ordinary differential equations
33. Second order liner homogeneous ode's
34. Second order linear non-homogeneous ode's
35. Higher order linear ode's
36. Laplace transforms
37. Ode systems
38. Stability of dynamic systems
39. Series solutions and special functions
40. Sturm-liouville theory
41. Fouriers series and integrals
42. Fourier transforms
43. Minimax approximation
44. Partial differential equations
45. Analytic functions
46. Integrals in the complex plane singularities of complex functions
47. Variational calculus

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