Graduate Engineering Mathematics
ISBN: 9789390455133
1248 pages

Description
Graduate Engineering Mathematics is designed primarily as a textbook for the students of engineering and physical sciences. This book introduces concepts of mathematics such as Linear Algebra and Calculus, Numerical Methods, Series, Differential Equations, Transforms, Complex Analysis, Statistics, Probability and Linear Programming. This book will also be useful as a reference text to engineers and scientists. The book has seven parts comprising a total of 25 chapters. It contains as many as 644 worked examples and more than 1250 exercise problems with answers.
Part I: Linear Algebra and Calculus
1. Matrices, Vectors and Eigenvalue Problems
2. Direct and Indirect Methods for Solving Linear Systems
3. Functions of Several Variables
4. Multiple Integrals and bG Functions
5. Vector Differential and Integral Calculus
6. Solid Geometry
Part II: Numerical Methods
7. Numerical Solution of Non-linear Equations
8. Interpolation
9. Numerical Differentiation and Integration
10. Numerical Solution of Initial Value Problems
11. Numerical Solution of Partial Differential Equations
Part III: Series
12. Infinite Series
13. Fourier Series
Part IV: Differential Equations
14. Ordinary Differential Equations of First Order and Degree One to Higher Power
15.Linear Differential Equations with Constant Coefficients
16. Series Solution of Differential Equations and Special Functions
17. Partial Differential Equations and Their Applications
Part V: Transforms
18. Laplace Transforms
19. Fourier Transforms
20. Difference Equations and Z-Transforms
Part VI: Complex Analysis
21. Complex Differentiation and Integration
22. Power Series, Mappings and Residue Integration
Part VII: Statistics, Probability and Linear Programming
23. Curve Fitting, Correlation and Regression
24. Probability, Sampling and Inference
25. Linear Programming
Appendices