Advanced Engineering Mathematics, 7th Edition

Back

Description

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

• Includes computer programs to demonstrate mathematical concepts used in Fractals, Robotics, Circuits, Membrane simulation, Collision Detection, Ray Tracing, Signal Processing and more
• Accompanied by a CD-ROM with source code, calculation programs, “live” figures, and simulations
• Provides self-instruction techniques with hundreds of examples with in text, worked-out solution

Tentative 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

About The Authors

N. Bali is a prolific author of over 100 books for mathematics and engineering students; he has been writing books for nearly 40 years.

Christopher Watkins received his degree in electrical engineering from Georgia Tech.