Mathematical Foundations for Linear Circuits and Systems in Engineering - Info and Reading Options

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Intro -- TITLE PAGE -- COPYRIGHT -- DEDICATION -- TABLE OF CONTENTS -- PREFACE -- NOTATION AND BIBLIOGRAPHY -- ABOUT THE COMPANION WEBSITE -- CHAPTER 1: OVERVIEW AND BACKGROUND -- 1.1 INTRODUCTION -- 1.2 MATHEMATICAL MODELS -- 1.3 FREQUENCY CONTENT -- 1.4 FUNCTIONS AND PROPERTIES -- 1.5 DERIVATIVES AND INTEGRALS -- 1.6 SINE, COSINE, AND π -- 1.7 NAPIER'S CONSTANT AND LOGARITHMS -- PROBLEMS -- PART I: CIRCUITS, MATRICES, AND COMPLEX NUMBERS -- CHAPTER 2: CIRCUITS AND MECHANICAL SYSTEMS -- 2.1 INTRODUCTION -- 2.2 VOLTAGE, CURRENT, AND POWER -- 2.3 CIRCUIT ELEMENTS -- 2.4 BASIC CIRCUIT LAWS -- 2.5 MECHANICAL SYSTEMS -- PROBLEMS -- CHAPTER 3: LINEAR EQUATIONS AND MATRICES -- 3.1 INTRODUCTION -- 3.2 VECTOR SPACES -- 3.3 SYSTEM OF LINEAR EQUATIONS -- 3.4 MATRIX PROPERTIES AND SPECIAL MATRICES -- 3.5 DETERMINANT -- 3.6 MATRIX SUBSPACES -- 3.7 GAUSSIAN ELIMINATION -- 3.8 EIGENDECOMPOSITION -- 3.9 MATLAB FUNCTIONS -- PROBLEMS -- CHAPTER 4: COMPLEX NUMBERS AND FUNCTIONS -- 4.1 INTRODUCTION -- 4.2 IMAGINARY NUMBERS -- 4.3 COMPLEX NUMBERS -- 4.4 TWO COORDINATES -- 4.5 POLAR COORDINATES -- 4.6 EULER'S FORMULA -- 4.7 MATRIX REPRESENTATION -- 4.8 COMPLEX EXPONENTIAL ROTATION -- 4.9 CONSTANT ANGULAR VELOCITY -- 4.10 QUATERNIONS -- PROBLEMS -- PART II: SIGNALS, SYSTEMS, AND TRANSFORMS -- CHAPTER 5: SIGNALS, GENERALIZED FUNCTIONS, AND FOURIER SERIES -- 5.1 INTRODUCTION -- 5.2 ENERGY AND POWER SIGNALS -- 5.3 STEP AND RAMP FUNCTIONS -- 5.4 RECTANGLE AND TRIANGLE FUNCTIONS -- 5.5 EXPONENTIAL FUNCTION -- 5.6 SINUSOIDAL FUNCTIONS -- 5.7 DIRAC DELTA FUNCTION -- 5.8 GENERALIZED FUNCTIONS -- 5.9 UNIT DOUBLET -- 5.10 COMPLEX FUNCTIONS AND SINGULARITIES -- 5.11 CAUCHY PRINCIPAL VALUE -- 5.12 EVEN AND ODD FUNCTIONS -- 5.13 CORRELATION FUNCTIONS -- 5.14 FOURIER SERIES -- 5.15 PHASOR REPRESENTATION -- 5.16 PHASORS AND LINEAR CIRCUITS -- PROBLEMS

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