Preface.
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.
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