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Mathematical Methods in Science and Engineering

ISBN: 978-0-470-04142-0
Hardcover
712 pages
July 2006
List Price: US $190.25
Government Price: US $131.16
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Preface xxi

Acknowledgment xxvii

1. Nature and Mathematics 1

2. Legendre Equation and Polynomials 9

3. Laguerre Polynomials 43

4. Hermite Polynomials 57

5. Gegenbauer and Chebyshev Polynomials 71

6. Bessel Functions 83

7. Gauss Equation and its Solutions 99

8. Sturm-Liouville Theory 107

9. Sturm-Liouville Systems anad the Factorization Method 121

10. Coordinates and Tensors 163

11. Continuous Group and Representations 223

12. Complex Variables and Functions 293

13. Complex Integrals and Series 335

14. Fractional Derivatives and Integrals: "Differintegrals" 379

15. Infinite Series 431

16. Integral Transforms 477

17. Variational Analysis 517

18. Integral Equations 547

19. Green's Functions 567

20. Green's Functions and Path Integrals 633

References 665

Index 669

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