Higher Engineering Mathematics by B.V.Ramana

Higher Engineering Mathematics is a branch of Mathematics and Engineering and this Book is a both theoretical and practical approach.

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

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