Higher Engineering Mathematics

Foreword

Preface

Acknowledgements

PART—I PRELIMINARIES

1. Vector Algebra, Theory of Equations, and ComplexNumbers


PART—II DIFFERENTIAL AND INTEGRAL CALCULUS

2. DifferentialCalculus

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 andFirst Degree

9. Linear Differential Equations of Second Orderand Higher Order

10. Series Solutions

11. Special Functions—Gamma, Beta, Bessel andLegendre

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



PART—V FOURIER ANALYSIS AND PARTIALDIFFERENTIAL EQUATIONS

16. Fourier Series

17. Partial Differential Equations

18. Applications of Partial Differential Equations

19. Fourier Integral, Fourier Transforms andIntegral Transforms

20. Linear Difference Equations and Z-Transforms



PART—VI COMPLEX ANALYSIS

21. Complex Function Theory

22. Complex Integration

23. Theory of Residues

24. Conformal Mapping



PART—VII PROBABILITY AND STATISTICS

25. Probability

26. Probability Distributions

27. Sampling Distribution

28. Estimation and Test of Hypothesis

29. Curve Fitting, Regression and CorrelationAnalysis

30. Joint Probability Distribution and MarkovChains



PART—VIII NUMERICAL ANALYSIS

31. Numerical Analysis

32. Numerical Solutions of ODE and PDE

33. Matrices and Determinants

34. Sequences and Series

35. Analytical Solid Geometry

36. Calculus of Variations

37. Linear Programming

Appendix A: StatisticalTables

Appendix B: BasicResults

Bibliography

Index