Clearly and elegantly presented, Mathematical Methods in Science and Engineering provides a coherent treatment of mathematical methods, bringing advanced mathematical tools to a multidisciplinary audience. The growing interest in interdisciplinary studies has brought scientists from many disciplines such as physics, mathematics, chemistry, biology, economics, and finance together, which has increased the demand for courses in upper-level mathematical techniques. This book succeeds in not only being tuned in to the existing practical needs of this multidisciplinary audience, but also plays a role in the development of new interdisciplinary science by introducing new techniques to students and researchers.
Mathematical Methods in Science and Engineering’s modular structure affords instructors enough flexibility to use this book for several different advanced undergraduate and graduate level courses. Each chapter serves as a review of its subject and can be read independently, thus it also serves as a valuable reference and refresher for scientists and beginning researchers.
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.
2. Vector Analysis.
3. Generalized Coordinates and Tensors.
4. Determinants and Matrices.
5. Linear Algebra.
6. Sequences and Series.
7. Complex Numbers and Functions.
8. Complex Analysis.
9. Ordinary Differential Equations.
10. Second-Order Differential Equations and Special Functions.
11. Bessel’s Equation and Bessel Functions.
12. Partial Differential Equations and Separation Variables.
13. Fourier Series.
14. Fourier and Laplace Transforms.
15. Calculus of Variations.
16. Probability Theory and Distributions.
17. Information Theory.
S. Selçuk Bayin