Advanced Mathematical Methods for Engineering and Science Students [Hardcover]

This book provides a solid foundation to a number of important topics in mathematics of interest to science and engineering students.A solid foundation for a number of topics of interest to science and engineering students is provided in this self- contained text that assumes only a basic understanding of related mathematics.A solid foundation for a number of topics of interest to science and engineering students is provided in this self- contained text that assumes only a basic understanding of related mathematics.This textbook provides a solid foundation to a number of important topics in mathematics of interest to science and engineering students. Included are tensor algebra, ordinary differential equations, contour integration, Laplace and Fourier transforms, partial differential equations and the calculus of variations. The authors' approach is simple and direct with an emphasis on the analytical understanding of the material. The text is virtually selfcontained, assuming only that the student has a solid understanding of ancillary mathematics. Each chapter contains a large number of worked examples, and concludes with problems for solution, with answers in the back of the book.1. Suffix notation and tensor algebra; 2. Special functions; 3. Non-linear ordinary differential equations; 4. Approximate solutions of ordinary differential equations; 5. Contour integration; 6. Applications of contour integration; 7. Laplace and Fourier transforms; 8. Partial differential equations; 9. Calculus of variations. ...a good introduction to the advanced undergraduate mathematical methods required by science and engineering students. Physics in Canada