Bayin, Selcuk Mathematical Methods in Science and Engineering
1. Auflage - August 2006 129,- Euro 2006. 712 Seiten, Hardcover ISBN-10: 0-470-04142-0 ISBN-13: 978-0-470-04142-0 - John Wiley & Sons
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Kurzbeschreibung There are a growing number of research areas in applied sciences like earthquakes, rupture, financial markets, and crashes that employ the techniques of fractional calculus and path integrals. This book successfully fills a gap in the existing literature on mathematical methods and takes into account the new interdisciplinary audience.
Aus dem Inhalt 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".