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Objective of this book is to provide to the students of Master of Technology/Engineering a simple, clear and logical presentation of the basic concepts of various branches of advanced mathematics.

The book has been prepared according to the syllabus of various Technical Universities in India and is conceived as a textbook for the course in Master of Technology/Engineering of all branches and specializations. The contents of the book have been systematically organized and spread over twenty three chapters. Each chapter begins with the fundamentals and explained with different type of solved examples. The book not only covers the entire scope of the subject but explains the philosophy of the mathematical methods, statistical methods, numerical methods, computational methods including Matlab; and makes the understanding of the subject more interesting.

Contents: 1. Vector Spaces. 2. Hermite Polynomials. 3. Functions. 4. Solution of Partial Differential Equation. 5. Numerical Solution of Partial Differential Equations. 6. Fourier Transform. 7. The Discrete Fourier Transform. 8. Wavelet and Haar Transform. 9. Theory of Probability. 10. Theoretical Distribution. 11. Sampling Distribution (Large Samples). 12. Theory of Estimation. 13. Theory of Testing a Hypothesis. 14. Markov Analysis. 15. Queuing Theory. 16. Fuzzy Sets. 17. Decision Theory. 18. Calculus of Variation. 19. Theory of Reliability and Fault Tolerant. 20. Goal Programming. 21. MATLAB, 22. Hankel and Mellin Transforms. 23.Integral Equation.