A Textbook of Engineering Mathematics by NP Bali and Dr Manish Goyal

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Book Summary:

The underlying object of this book is to provide the readers with the thorough understanding of topics included in the syllabus of Mathematics for engineering students.

Audience of the Book :

B.Sc. (Engg.), B.E., B. Tech., M.E. and Equivalent Professional Examinations

 

Key Features:

The main features of the book are as follows:

• It exactly covers the prescribed syllabus. Nothing undesirable has been included and nothing essential has been left.
• Its approach is explanatory and language is lucid and communicable.
• The exposition of the subject matter is systematic and the students are better prepared to solve the problems.
• All fundamentals of the included topics are explained with a micro-analysis.
• Sufficient number of solved examples have been given to let the students understand the various skills necessary to solve the problems. These examples are well-graded.
• Unsolved exercises of multi-varieties have been given in a well-graded style. Attempting those on his own, will enable a student to create confidence and independence in him/her regarding the understanding of the subject.
• Daily life problems and practical applications have been incorporated in the body of the text.
• A large number of attractive and accurate figures have been drawn which enable a student to grasp the subject in an easier way.
• All the answers have been checked and verified.

Table of Contents:

1. Complex Numbers

2. Theory of Equations and Curve Fitting

3. Determinants and Matrics

4. Analytical Solid Geometry

5. Partial Differentiation

6. Multiple Integrals

7. Vector Algebra

8. Vector Calculus

9. Infinite Series

10. Fourier Series

11. Differential Equations of First Order

12. Applications of Differential Equations of First Order

13. Linar Differential Equations

14. Applications of Linear Differential Equations

15. Special Functions and Series Solution of Differential Equations

16. Partial Differential Equations

17. Applications of Partial Differential Equations

18. The Laplace Transforms

19. Functions of a Complex Variable

20. Integral Transforms

21. Statistics and Probability

22. Finite Differences and Numerical Methods

23. Z-Transforms

24. Numerical Solution of Ordinary Differential Equations

25. Numerical Solution of Partial Differential Equations

26. Curvilinear Co-ordinates

27. Tensor Analysis

28. Virtual Work Appendices