Mathematical Foundations for Linear Circuits and Systems in Engineering

Detalles Bibliográficos
Autor principal: Shynk, John J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2016.
Colección:New York Academy of Sciences Ser.
Temas:
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • CHAPTER 6: DIFFERENTIAL EQUATION MODELS FOR LINEAR SYSTEMS
  • 6.1 INTRODUCTION
  • 6.2 DIFFERENTIAL EQUATIONS
  • 6.3 GENERAL FORMS OF THE SOLUTION
  • 6.4 FIRST-ORDER LINEAR ODE
  • 6.5 SECOND-ORDER LINEAR ODE
  • 6.6 SECOND-ORDER ODE RESPONSES
  • 6.7 CONVOLUTION
  • 6.8 SYSTEM OF ODE
  • PROBLEMS
  • CHAPTER 7: LAPLACE TRANSFORMS AND LINEAR SYSTEMS
  • 7.1 INTRODUCTION
  • 7.2 SOLVING ODE USING PHASORS
  • 7.3 EIGENFUNCTIONS
  • 7.4 LAPLACE TRANSFORM
  • 7.5 LAPLACE TRANSFORMS AND GENERALIZED FUNCTIONS
  • 7.6 LAPLACE TRANSFORM PROPERTIES
  • 7.7 INITIAL AND FINAL VALUE THEOREMS
  • 7.8 POLES AND ZEROS
  • 7.9 LAPLACE TRANSFORM PAIRS
  • 7.10 TRANSFORMS AND POLYNOMIALS
  • 7.11 SOLVING LINEAR ODE
  • 7.12 IMPULSE RESPONSE AND TRANSFER FUNCTION
  • 7.13 PARTIAL FRACTION EXPANSION
  • 7.14 LAPLACE TRANSFORMS AND LINEAR CIRCUITS
  • PROBLEMS
  • CHAPTER 8: FOURIER TRANSFORMS AND FREQUENCY RESPONSES
  • 8.1 INTRODUCTION
  • 8.2 FOURIER TRANSFORM
  • 8.3 MAGNITUDE AND PHASE
  • 8.4 FOURIER TRANSFORMS AND GENERALIZED FUNCTIONS
  • 8.5 FOURIER TRANSFORM PROPERTIES
  • 8.6 AMPLITUDE MODULATION
  • 8.7 FREQUENCY RESPONSE

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