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Applied Mathematical Methods, 1/e


Applied Mathematical Methods, 1/e
Author(s)  Bhaskar Dasgupta
ISBN  9788131700686
Imprint  Pearson Education
Copyright  2006
Pages  524
Binding  Paperback
List Price  Rs. 1210.00
  
 
 

This book covers the material vital for research in today's world and can be covered in a regular semester course. It is the consolidation of the efforts of teaching the compulsory first semester post-graduate applied mathematics course at the Department of Mechanical Engineering at IIT Kanpur in two successive years.
  • About the Author
  • Contents
  • Downloadable Resources

Bhaskar Dasgupta is associate professor in the Department of Mechanical Engineering at Indian Institute of Technology Kanpur. He received his doctorate from the Indian Institute of Science, Bangalore, India in 1997. His ever-expanding research interests include topics in robotics such as serial and parallel manipulators, and motion planning methods; as well as nonlinear optimization, domain mapping, geometric modelling and protein docking. In his spare time, he takes a zealous interest in languages, literature, history and philosophy.
 

  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 Nonlinear 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 Linear 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. Fourier Series and Integrals

  42. Fourier Transforms

  43. Minimax Approximation*

  44. Partial Di_erential Equations

  45. Analytic Functions

  46. Integrals in the Complex Plane

  47. Singularities of Complex Functions

  48. Variational Calculus*
 
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