دانلود کتاب Advanced Engineering Mathematics

فهرست مطالب :

Cover
Selected Formulas
Title
Contents
Preface
1. Introduction to Differential Equations
2. Differential Equations of First Order
3. Linear Differential Equations of Second Order and Higher
4. Power Series Solutions
5. Laplace Transform
6. Quantitative Methods: Numerical Solution of Differential Equations
7. Qualitative Methods: Phase Plane and Nonlinear Differential Equations
8. Systems of Linear Algebraic Equations; Gauss Elimination
9. Vector Space
10. Matrices and Linear Equations
11. The Eigenvalue Problem
12. Extension to Complex Case
13. Differential Calculus of Functions of Several Variables
14. Vectors in 3-Space
15. Curves, Surfaces and Volumes
16. Scalar and Vector Field Theory
17. Fourier Series, Fourier Integral, Fourier Transform
18. Diffusion Equation
19. Wave Equation
20. Laplace Equation
21. Functions of a Complex Variable
22. Conformal Mapping
23. The Complex Integral Calculus
24. Taylor Series, Laurent Series and the Residue Theorem
References
A. Review of Partial Fraction Expansions
B. Existence and Uniqueness of Solutions of Systems of Linear Algebraic Equations
C. Table of Laplace Transforms
D. Table of Fourier Transforms
E. Table of Fourier Cosine and Sine Transforms
F. Table of Conformal Maps
Answers to Selected Exercises
Index