Higher engineering mathematics / by B V Ramana

Contents: Ch.1. Vector algebra, theory of equations and complex numbers -- Ch.2. Differential calculus -- Ch.3. Partial differentiation -- Ch.4. Maxima and minima -- Ch.5. Curve tracing -- Ch.6. Integral calculus -- Ch.7. Multiple integrals -- Ch.8. Ordinary differential equations: First order and first degree -- Ch.9. Linear differential equations of second order and higher order -- Ch.10. Series solution -- Ch.11. Special functions- Gamma, beta, bessel and legendre -- Ch.12. Laplace transform -- Ch.13. Matrics -- Ch.14. Eigen values and eigen vectors -- Ch.15. Vector differential calculus -- Ch.16. Vector integral calculus -- Ch.17. Fourier series -- Ch.18. Partial differential equations -- Ch.19. Applications of partial differential equations -- Ch.20. Fourier integral, fourier transforms and integral transforms -- Ch.21. Linear difference equations and Z-Transforms -- Ch.22. Complex function theory -- Ch.23. Complex integration -- Ch.24. Theory of residues -- Ch.25. Conformal mapping -- Ch.26. Probability -- Ch.27. Probability distributions -- Ch.28. Sampling distribution -- Ch.29. Estimation and test of hypothesis -- Ch.30. Curve fittings, regression and correlation analysis -- Ch.31. joint probability distribution and Markov chains -- Ch.32. Numerical analysis -- Ch.33. Numerical solutions of ODE and PDE -- Ch.34. Matrices and determinants -- Ch.35. Sequences and series -- Ch.36. Analytical solid geometry -- Ch.37. Calculus of variations -- Ch.38. Linear programming