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**Higher Engineering Mathematics ** written by
** B. S. Grewal **, Ph.D., Professor of Applied Mathematics, Defence, Research and Developement Organization, New Delhi, Formerly of College of Military Engineering, Poona and Delhi College of Engineering, Delhi and
** J.S. Grewal **, M.I.E., I. Engr. (U.K.), M. I. Mar. Engg.

The book provides a clear exposition of essential tools of applied mathematics from a modern point of view and meets complete requirements of engineering and computer science students. Every effort has been made to keep the presentation at once simple and lucid. It is written with the firm conviction that a good book is one that can be read with minimum guidance from the instructor. To achieve this, more than the usual number of solved examples, followed by properly graded problems have been given. Many of the examples and problems have been selected from recent papers of various university and other engineering examinations. Basic Concepts and Useful Information has been given in an Appendix.

- Algebra & Geometry: Solution of equations, Linear algebra: Determinants, Matrices, Vector algebra and Solid geometry.

- Calculus: Differential calculus, Partial differentiation, Integral calculus, Multiple integrals, Vector calculus.

- Series: Infinite Series and Fourier Series.

- Differential Equations: Differential equations of first order and their applications, Linear differential equations and their applications, Differential equations of different types, Series solution of differential equations and special functions, Partial differential equations and their applications.

- Complex Analysisc: Complex numbers and functions, Calculus of complex functions.

- Transforms: Laplace Transforms, Fourier transforms and Z-transforms.

- Numerical Techniques: Empirical Laws and Curve fitting, Statistical methods, Probability and Distributions, Sampling and Inference, Numerical methods, Finite differences and Interpolation, Difference equations, Numerical solution of Ordinary and Partial differential equations, Linear programming.

- Special Topics: Calculus of variations, Integral equations, Discrete mathematics, Tensors.

- An exhaustive list of Objective Type of Questions has been given at the end of each chapter. Standard Tables, Answers to Problems, and a fairly comprehensive Index is given at the end.
** Title: ** Higher Engineering Mathematics
** Edition: **
** Author(s): ** B. S. Grewal, J.S. Grewal
** Publisher: ** Khanna Publishers
** Series: **
** Year: ** 2012
** Pages: ** 1327
** Type: ** PDF
** Language: ** English
** ISBN: ** 978-81-7409-195-5
** Country: ** India

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**Higher Engineering Mathematics ** written by
** B. S. Grewal, J.S. Grewal **
cover the following topics.
**Unit I: Algebra, Vectors And Geometry**

1. Solution of Equations

2. Linear Algebra: Determinants, Matrices

3. Vector Algebra and Solid Geometry
**Unit II: Calculus**

4. Differential Calculus & Its Applications

5. Partial Differentiation & Its Applications

6. Integral Calculus & Its Applications

7. Multiple Integrals & Beta, Gamma Functions

8. Vector Calculus & Its Applications
**Univ III: Series**

9. Infinite Series

10. Fourier Series & Harmonic Anslysis
**Unit IV: Differential Equations**

11. Differential Equations of First Order

12. Applications of Differential Equations of First Order

13. Linear Differential Equations

14. Applications of Linear Differential Equations

15. Differential Equations of Other Types

16. Series Solution of Differential Equations and Special Functions

17. Partial Differential Equations

18. Applications of Partial Differential Equations
**Unit V: Complex Analysis**

19. Complex Numbers and Functions

20. Calculus of Complex Functions
**Unit VI: Transforms**

21. Laplace Transforms

22. Fourier Transforms

23. Z-Transforms
**Unit VII: Numerical Techniques**

24. Empirical Laws and Curve-fitting

25. Statistical Methods

26. Probability and Distributions

27. Sampling and Inference

28. Numerical Solution of Equations

29. Finite Differences and Interpolation

30. Numerical Differentiation and Integration

31. Difference Equations

32. Numerical Solution of Ordinary Differential Equations

33. Numerical Solution of Partial Differential Equations

34. Linear Programming
**Unit VIII: Special Topics**

35. Calculus of Variations

36. Integral Equations

37. Discrete Mathematics

38. Tensor Analysis

Useful Information

Tables

Answers to Problems

Index

**Note:-**

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- Differential Equacitons
- Fourier Analysis
- Linear Algebra
- Matrix Calculus
- Vector Analysis
- Tensor Calculus
- Probability & Statistics
- Discrete Mathematics

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis