Description
This textbook is meant for students of first course on Fourier Series and Integral Transforms. The book provides balanced coverage of both theory and practice of concepts. A wide variety of problems and lucid language will help students understand and apply the concepts easily. The step-by-step solutions to solved problems enable clear understanding. A variety of solved and unsolved problems have been incorporated to help student’s ace university and competitive examinations.
Table of Content
Chapter 1 Fourier Series
1.1 Introduction
1.2 Dirichlet’s Conditions
1.3 Euler’s Formulas
1.4 Definition of Fourier Series
1.5 Important Concepts
1.6 Fourier Series of Even and Odd Functions
1.7 Theorem
1.8 Convergence of Fourier Series at Specific Points
1.9 Half-range Fourier Series and Parseval’s Theorem
1.10 Root-Mean Square Value of a Function
1.11 Harmonic Analysis
1.12 Complex Form of Fourier Series
Chapter 2 Fourier Transforms
2.1 Introduction
2.2 Fourier Integral Theorem
2.3 Fourier Transforms
2.4 Alternative from of Fourier Complex Integral Formula
2.5 Relationship between Fourier Transform And Laplace Transform
2.6 Properties of Fourier Transforms
2.7 Finite Fourier Transforms
Chapter 3 Z-Transforms
3.1 Introduction
3.2 Properties of Z-transforms
3.3 Z-Transforms of Some Basic Functions
3.4 Inverse Z-Transforms
3.5 Use of Z-Transforms to Solve Finite Difference Equations
About The Author
Veerarajan is Dean (Retd.), Department of Mathematics, Velammal College of Engineering and Technology, Madurai, Tamil Nadu. A Gold Medalist from Madras University, he has had a brilliant academic career all through. He has 50 years of teaching experience at undergraduate and postgraduate levels in various established engineering colleges in Tamil Nadu including Anna University, Chennai.
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