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Mathematical Methods in Science and Engineering

ISBN: 978-0-470-04142-0
Hardcover
712 pages
July 2006
US $166.00 Add to Cart

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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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