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Mathematical Methods In Science And Engineering

Mathematical Methods In Science And Engineering

          
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About the Book

This book successfully fills a gap in the existing literature on mathematical methods. 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. 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 beginning researchers and instructors who want to add something new to their compulsory courses. Readers are expected to be familiar with the topics generally covered in the first three years of the science and engineering undergraduate programs. The book contains enough material for a three-semester course. However, the modular structure of the book gives instructors enough flexibility to adopt the book for several different advanced undergraduate and graduate level courses. The book has been classroom tested on over more than 1000 students during the past 20 years.

About the Author

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 20 years.



Table of Contents:
Preface. Acknowledgment. · Nature and Mathematics. · Legendre Equation and Polynomials. · Laguerre Polynomials. · Hermite Polynomials. · Gegenbauer and Chebyshev Polynomials. · Bessel Functions. · Gauss Equation and its Solutions. · Sturm-Liouville Theory. · Sturm-Liouville Systems anad the Factorization Method. · Coordinates and Tensors. · Continuous Group and Representations. · Complex Variables and Functions. · Complex Integrals and Series. · Fractional Derivatives and Integrals: "Differintegrals". · Infinite Series. · Integral Transforms. · Variational Analysis. · Integral Equations. · Green's Functions. · Green's Functions and Path Integrals. References. Index.



Product Details
  • ISBN-13: 9788126529681
  • Publisher: Wiley India Pvt Ltd
  • Binding: Paperback
  • No of Pages: 712
  • ISBN-10: 8126529687
  • Publisher Date: 2011
  • Language: English

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