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· 제목 : Mathematical Methods in Science and Engineering (Hardcover)
· 분류 : 외국도서 > 과학/수학/생태 > 과학 > 과학일반
· ISBN : 9780470041420
· 쪽수 : 712쪽
· 분류 : 외국도서 > 과학/수학/생태 > 과학 > 과학일반
· ISBN : 9780470041420
· 쪽수 : 712쪽
목차
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
