Advanced Engineering Mathematics

by N.P. Bali, Manish Goyal, Christopher Watkins

Unlike many engineering mathematics books, the new edition of this comprehensive applications-oriented book uses computer programs in almost every chapter to demonstrate the mathematical concepts under discussion. Designed for engineering students as well as practicing engineers and scientists, the book has hundreds of examples with in-text solutions. In terms of content, it covers the entire sequence of mathematical topics needed by the majority of university programs, including ODE, PDE, complex variables, probability/statistics, and numerical methods. The authors demonstrate how the mathematical concepts will be used in practical applications such as Fractals, Robotics, Circuits, Membrane simulation, Collision Detection, Ray Tracing, Signal Processing, and more. A CD-ROM with the source code for the in-text computer programs (written in C) includes calculation routines and simulations. Features „X Includes computer programs to demonstrate mathematical concepts used in Fractals, Robotics, Circuits, Membrane simulation, Collision Detection, Ray Tracing, Signal Processing and more „X Accompanied by a CD-ROM with source code, calculation programs, ¡§live¡¨ figures, and simulations „X Provides self-instruction techniques with hundreds of examples with in text, worked-out solutions Brief Table of Contents 1. Complex Numbers; 2. Theory of Equations and Curve Fitting; 3. Determinants and Matrices; 4. Analytical Solid Geometry; 5. Partial Differentiation; 6. Multiple Integrals; 7. Vector Algebra; 8. Vector Calculus; 9. Infinite Series; 10. Fourier Series; 11. Differential Equations of First Order; 12. Applications of Differential Equations of First Order; 13. Linear Differential Equations; 14. Applications of Linear Differential Equations; 15. Special Functions and Series Solution of Differential Equations; 16. Partial Differential Equations; 17. Applications of Partial Differential Equations; 18. The Laplace Transforms; 19. Functions of a Complex Variable; 20. Integral Transforms; 21. Statistics and Probability; 22. Finite Differences and Numerical Methods; 23. The Z-Transforms; 24. Numerical Solution of Ordinary Differential Equations; 25. Numerical Solution of Partial Differential Equations; 26. Curvilinear Co-ordinates; 27. Tensor Analysis; 28. Virtual Work; Appendixes

1600 pages, Hardcover

First published December 1, 2006

Reviews

[Deniz Alper · Rating 5 out of 5]

"a hilarious collection of mathematical essays, illustrated in the best way possible "
by chance I found this book in library and start to study it. At first glance it may seem like a huge! book that most students don't like, but when you start to read it, you will notice that its became like a poem, and attached you to itself. The book includes most of the subjects and essays of mathematics and calculus requisite for engineering and science students and whoever wants to expert in engineering mathematics and have something to say about without taking any courses. the computer programs in the CD Rom help you to illustrate and
understand the concepts visually besides learning programming languages.