دانلود کتاب Advanced Engineering Mathematics and Analysis, Volume 2

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Contents Preface Acknowledgments Chapter 1 Fourier Series and Fourier Transforms 1.1. Introduction 1.2. Motivation 1.3. Fourier Series in Trigonometric Form 1.4. Fourier Series of Odd and Even Functions and Half-Range Expansions 1.5. Fourier Series in Complex Exponential Form 1.6. Fourier Integral Formulas – Fourier Transform 1.7. Fourier Transform of Infinite Energy Signals 1.8. Properties of Fourier Transform 1.9. Power and Energy Computation 1.10. Tables of Fourier Transforms Exercises Section 1.3-1.4 Section 1.5-1.7 Section 1.8-1.9 Chapter 2 Discrete Function Analysis 2.1. Introduction 2.2. Discrete-Time Functions 2.3. The z-Transform 2.4. Finding z-Transform from Laplace Transform 2.5. The Inverse z-Transform 2.6. Difference Equations 2.7. The Stability Problem 2.8. The Discrete Fourier Transform DFT 2.9 Signal Convolution and Corrélation Exercises Sections 2.2-2.4 Sections 2.5-2.8 Chapter 3 Vector Analysis 3.1. Introduction 3.2. Algebra of Scalar Vectors- Review 3.3. The Triple Scalar and Vector Products 3.4. Introduction to Vector Calculus 3.5. Differentiation of Vector Functions 3.6. Partial Derivatives of a Vector Function 3.7. The