Mathematical Methods in Science and Engineering
John Wiley & Sons Ltd (Verlag)
978-0-470-04142-0 (ISBN)
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There are a growing number of research areas in applied sciences, such as earthquakes, rupture, financial markets, and crashes, that employ the techniques of fractional calculus and path integrals. The book's two unique chapters on these subjects, written in a style that makes these advanced techniques accessible to a multidisciplinary audience, are an indispensable tool for researchers and instructors who want to add something new to their compulsory courses.
Mathematical Methods in Science and Engineering includes: Comprehensive chapters on coordinates and tensors and on continuous groups and their representations An emphasis on physical motivation and the multidisciplinary nature of the methods discussed A coherent treatment of carefully selected topics in a style that makes advanced mathematical tools accessible to a multidisciplinary audience Exercises at the end of every chapter and plentiful examples throughout the book Mathematical Methods in Science and Engineering is not only appropriate as a text for advanced undergraduate and graduate physics programs, but is also appropriate for engineering science and mechanical engineering departments due to its unique chapter coverage and easily accessible style. Readers are expected to be familiar with topics typically covered in the first three years of science and engineering undergraduate programs. Thoroughly class-tested, this book has been used in classes by more than 1,000 students over the past eighteen years.
S. SELCUK BAYIN, PHD, is Professor in the Department of Physics at the Middle East Technical University in Ankara, Turkey. Dr. Bayin is a member of the Turkish Physical Society and the American Physical Society. He received his PhD in physics from the University of Michigan in 1979. The author has been teaching mathematical methods for physics courses for the past eighteen years.
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.
Erscheint lt. Verlag | 15.8.2006 |
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Zusatzinfo | Graphs: 113 B&W, 0 Color |
Verlagsort | Chichester |
Sprache | englisch |
Maße | 163 x 239 mm |
Gewicht | 1121 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
Naturwissenschaften ► Physik / Astronomie | |
Technik ► Elektrotechnik / Energietechnik | |
ISBN-10 | 0-470-04142-0 / 0470041420 |
ISBN-13 | 978-0-470-04142-0 / 9780470041420 |
Zustand | Neuware |
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