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Mathematical Methods in Science and Engineering / Edition 1

Mathematical Methods in Science and Engineering / Edition 1

by Selcuk S. Bayin, S. Selcuk Bayin
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Product Details

ISBN-13: 9780470041420
Publisher: Wiley
Publication date: 07/18/2006
Pages: 712
Product dimensions: 6.40(w) x 9.39(h) x 1.38(d)

About the Author

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.

Table of Contents

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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"The book is written in a clear and attractive style. It is rich in content, with a wide-ranging covering, and will be useful not only as a textbook for students of physical sciences and engineering but also as a reference book for them." (Zentralblatt MATH Database, 2011)

"The book is well written and thorough…" (CHOICE, February 2007)

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