Mathematical Methods in Science and Engineering

Acknowledgment.

1. Nature and Mathematics.

2. Legendre Equation and Polynomials.

3. Laguerre Polynomials.

4. Hermite Polynomials.

5. Gegenbauer and Chebyshev Polynomials.

6. Bessel Functions.

7. Gauss Equation and its Solutions.

8. Sturm-Liouville Theory.

9. Sturm-Liouville Systems anad the Factorization Method.

10. Coordinates and Tensors.

11. Continuous Group and Representations.

12. Complex Variables and Functions.

13. Complex Integrals and Series.

14. Fractional Derivatives and Integrals: "Differintegrals".

15. Infinite Series.

16. Integral Transforms.

17. Variational Analysis.

18. Integral Equations.

19. Green's Functions.

20. Green's Functions and Path Integrals.

References.

Index.