Higher Engineering Mathematics by B.V.Ramana

Book Info

Title : Higher Engineering Mathematics

Writer : B V Ramana

Publisher : The McGraw-Hill Publishing Company Limited

Genre : Mathematics | Engineering Mathematics | Applied Mathematics

Series : Core Engineering Series

ISBN-13 : 978-0-07-063419-0

ISBN-10 : 0-07-063419-X

About Author

Dr. Bandaru Venkata Ramana obtained his Ph.D from the Indian Institute of Technology (IIT), Bombay in the year 1974. He has been a Post-Doctoral fellow of CSIR for one year. He has more then 30 year’s of experience in teaching the subject of Engineering Mathematics at IIT, Bombay (1970-1974), Regional Engineering college, Warangal (1975-1981), Jawaharlal Nehru Technological University (1981 onwards, more then 20 years), and Federal University of Technology, Nigeria (1983-1985 on overseas assignment).

Email: ramanaby46@yahoo.com

Contents :

PART-I : PRELIMINARIES

• 1. Vector Algebra, Theory of Equations, and Complex Numbers

PART-II : DIFFERENTIAL AND INTEGRAL CALCULUS

• 2. Differential Calculus
• 3. Partial Differentiation
• 4. Maxima and Minima
• 5. Curve Tracing
• 6. Integral Calculus
• 7. Multiple Integrals

PART-III : ORDINARY DIFFERENTIAL EQUATIONS

• 8. Ordinary Differential Equations : First Order and First Degree
• 9. Linear Differential Equations of Second Order and Higher Order
• 10. Series Solutions
• 11. Special Functions – Gamma, Beta, Bessel and Legendre
• 12. Laplace Transform

PART-IV : LINEAR ALGEBRA AND VECTOR CALCULUS

• 13. Matrices
• 14. Eigen Values and Eigen Vectors
• 15. Vector Differential Calculus, Gradient, Divergence and Curl
• 16. Vector Integral Calculus

PART-V : FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS

• 17. Fourier Series
• 18. Partial Differential Equations
• 19. Applications of Partial Differential Equations
• 20. Fourier Integral, Fourier Transforms and Integral Transforms
• 21 Linear Difference Equations and Z-Transforms

PART-VI : COMPLEX ANALYSIS

• 22. Complex Function Theory
• 23. Complex Integration
• 24. Theory of Residues
• 25. Conformal Mapping

PART-VII : PROBABILITY AND STATISTICS

• 26. Probability
• 27. Probability Distribution
• 28. Sampling Distribution
• 29. Estimation and Test of Hypothesis
• 30. Curve Fitting, Regression and Correlation Analysis
• 31. Joint Probability Distribution and Markov Chains

PART-VIII : NUMERICAL ANALYSIS

• 32. Numerical Analysis
• 33. Numerical Solution of ODE and PDE