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

           

This Comprehensive text on Higher Engineering Mathematics covers the syllabus of all the mathematics papers offered to the undergraduate students. Plethora of Solved examples help the students know the variety of problems & Procedure to solve them. Plenty of practice problems facilitate testing their understanding of the subject.

• Higher Engineering Mathematics