Description
Wiley India Graduate Engineering Mathematics by V B K VattI
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.
About the Author
VBK Vatti, Professor of Engineering Mathematics, Andhra University, obtained his doctorate from Indian Institute of Technology. He has about 33 years of teaching experience apart from research imparting various mathematical and computational skills to the UG and PG students of engineering. He has nearly 60 publications to his credit in various national and international journals and guided Indian and foreign students amounting to a decent number to obtain their PhD and MPhil degrees. He has also served the university in various capacities such as coordinator of University Grants Commission, Chief of Employment and Guidance Bureau and HoD of Engineering Mathematics.
TABLE OF CONTENTS
BOOK REVIEW
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