Advanced Engineering Mathematics
-15%
portes grátis
Advanced Engineering Mathematics
Applications Guide
Rice, John M.; Laoulache, Raymond N.
John Wiley & Sons Inc
03/2015
384
Mole
Inglês
9781118989296
15 a 20 dias
861
Descrição não disponível.
Chapter 1: First-Order Ordinary Differential Equations 1.1 Introduction 1.2 Basic Concepts 1.3 Engineering Form of The First-Order ODE and The Time Constant 1.4 Response of a System to a Sinusoid Forcing Function Homework Problems for Chapter One Chapter 2: Second-Order Initial Value Ordinary Differential Equations 2.1 Introduction 2.2 Basic Concepts 2.3 Engineering Form of the Second-Order ODE 2.4 Modeling of Second-Order Linear Homogeneous Systems: Free Vibration 2.5 Solution of Nonhomogeneous Second-Order Linear ODE 2.6 Modeling of Second-Order Linear Nonhomogeneous Systems: Forced Vibration 2.7 Undamped Second-Order Systems with a Sinusoid Forcing Function Homework Problems for Chapter Two Chapter 3: Boundary Value Ordinary Differential Equations 3.1 Introduction 3.2 Basic Concepts 3.3 Solution of Linear BVPs: Direct Integration 3.4 General Solution of Second-Order Linear BVPs: Homogeneous and Particular Solutions 3.5 Homogeneous BVP: The Eigenvalue Problem Homework Problems for Chapter Three Chapter 4: Systems of Ordinary Differential Equations 4.1 Introduction 4.2 Basic Concepts 4.3 Eigenvalues and Stability of Homogeneous and Linear Systems of First-Order ODEs 4.4 Stability of a System of First-Order ODEs Using Phase Plane 4.5 Numerical Solution of Orbits 4.6 Second-Order Systems 4.7 Eigenvalues of Homogeneous and Linear System of Second-Order ODEs Homework Problems for Chapter Four Chapter 5: Laplace Transform 5.1 Introduction 5.2 Basic Concepts 5.3 Forcing Functions 5.4 Laplace Transform 5.5 Laplace Transform of First-Order ODEs 5.6 Laplace Transform of Second-Order ODEs 5.7 Laplace Transfor of First-Order Coupled ODEs Homework Problems for Chapter Five Chapter 6: Fourier Series and Continuous Fourier Transform 6.1 Introduction 6.2 Basic Concepts 6.3 Fourier Series 6.4 Continuous Fourier Transform Homework Problems for Chapter Six Chapter 7: Discrete Fourier Transform 7.1 Introduction 7.2 Discrete Functions 7.3 Discrete Fourier Transform and Discrete Frequency Spectrum 7.4 Fast Fourier Transform Homework Problems for Chapter Seven Chapter 8: Introduction to Computational Techniques 8.1 Introduction 8.2 The Finite Difference Method 8.3 Boundary Value Problems 8.4 The Finite Element Method Homework Problems for Chapter Eight
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s formal and abstract mathematics; applied engineering; engineering students; advanced mathematics; practical importance in engineering; modeling applied engineering problems; effect on system behavior; undergraduates; calculus; linear algebra; Computer Algebra Systems; CAS; Applied Engineering Mathematics; complement to Kreyszig's Advanced Engineering Mathematics
Chapter 1: First-Order Ordinary Differential Equations 1.1 Introduction 1.2 Basic Concepts 1.3 Engineering Form of The First-Order ODE and The Time Constant 1.4 Response of a System to a Sinusoid Forcing Function Homework Problems for Chapter One Chapter 2: Second-Order Initial Value Ordinary Differential Equations 2.1 Introduction 2.2 Basic Concepts 2.3 Engineering Form of the Second-Order ODE 2.4 Modeling of Second-Order Linear Homogeneous Systems: Free Vibration 2.5 Solution of Nonhomogeneous Second-Order Linear ODE 2.6 Modeling of Second-Order Linear Nonhomogeneous Systems: Forced Vibration 2.7 Undamped Second-Order Systems with a Sinusoid Forcing Function Homework Problems for Chapter Two Chapter 3: Boundary Value Ordinary Differential Equations 3.1 Introduction 3.2 Basic Concepts 3.3 Solution of Linear BVPs: Direct Integration 3.4 General Solution of Second-Order Linear BVPs: Homogeneous and Particular Solutions 3.5 Homogeneous BVP: The Eigenvalue Problem Homework Problems for Chapter Three Chapter 4: Systems of Ordinary Differential Equations 4.1 Introduction 4.2 Basic Concepts 4.3 Eigenvalues and Stability of Homogeneous and Linear Systems of First-Order ODEs 4.4 Stability of a System of First-Order ODEs Using Phase Plane 4.5 Numerical Solution of Orbits 4.6 Second-Order Systems 4.7 Eigenvalues of Homogeneous and Linear System of Second-Order ODEs Homework Problems for Chapter Four Chapter 5: Laplace Transform 5.1 Introduction 5.2 Basic Concepts 5.3 Forcing Functions 5.4 Laplace Transform 5.5 Laplace Transform of First-Order ODEs 5.6 Laplace Transform of Second-Order ODEs 5.7 Laplace Transfor of First-Order Coupled ODEs Homework Problems for Chapter Five Chapter 6: Fourier Series and Continuous Fourier Transform 6.1 Introduction 6.2 Basic Concepts 6.3 Fourier Series 6.4 Continuous Fourier Transform Homework Problems for Chapter Six Chapter 7: Discrete Fourier Transform 7.1 Introduction 7.2 Discrete Functions 7.3 Discrete Fourier Transform and Discrete Frequency Spectrum 7.4 Fast Fourier Transform Homework Problems for Chapter Seven Chapter 8: Introduction to Computational Techniques 8.1 Introduction 8.2 The Finite Difference Method 8.3 Boundary Value Problems 8.4 The Finite Element Method Homework Problems for Chapter Eight
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
s formal and abstract mathematics; applied engineering; engineering students; advanced mathematics; practical importance in engineering; modeling applied engineering problems; effect on system behavior; undergraduates; calculus; linear algebra; Computer Algebra Systems; CAS; Applied Engineering Mathematics; complement to Kreyszig's Advanced Engineering Mathematics
