R. Nagle,
Edward Saff,
Arthur David Snider
Student Solutions Manual for Fundamentals of Differential Equations and Fundamentals of Differential Equations and Boundary Value Problems
Paperback Engels 2018 7e druk 9780321977212Levertijd ± 8 werkdagen
Gratis verzonden
Samenvatting
For one-semeseter sophomore- or junior-level courses in Differential Equations.
Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Also available in the version Fundamentals of Differential Equations with Boundary Value Problems, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software.
Specificaties
ISBN13:9780321977212
Taal:Engels
Bindwijze:paperback
Uitgever:Pearson Education
Druk:7
Verschijningsdatum:1-5-2018
Hoofdrubriek:Wetenschap en techniek
Lezersrecensies
Wees de eerste die een lezersrecensie schrijft!
Inhoudsopgave
1. Introduction
-1.1 Background
-1.2 Solutions and Initial Value Problems
-1.3 Direction Fields
-1.4 The Approximation Method of Euler
2. First-Order Differential Equations
-2.1 Introduction: Motion of a Falling Body
-2.2 Separable Equations
-2.3 Linear Equations
-2.4 Exact Equations
-2.5 Special Integrating Factors
-2.6 Substitutions and Transformations
3. Mathematical Models and Numerical Methods Involving First Order Equations
-3.1 Mathematical Modeling
-3.2 Compartmental Analysis
-3.3 Heating and Cooling of Buildings
-3.4 Newtonian Mechanics
-3.5 Electrical Circuits
-3.6 Improved Euler's Method
-3.7 Higher-Order Numerical Methods: Taylor and Runge-Kutta
4. Linear Second-Order Equations
-4.1 Introduction: The Mass-Spring Oscillator
-4.2 Homogeneous Linear Equations: The General Solution
-4.3 Auxiliary Equations with Complex Roots
-4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients
-4.5 The Superposition Principle and Undetermined Coefficients Revisited
-4.6 Variation of Parameters
-4.7 Variable-Coefficient Equations
-4.8 Qualitative Considerations for Variable-Coefficient and Nonlinear Equations
-4.9 A Closer Look at Free Mechanical Vibrations
-4.10 A Closer Look at Forced Mechanical Vibrations
5. Introduction to Systems and Phase Plane Analysis
-5.1 Interconnected Fluid Tanks
-5.2 Elimination Method for Systems with Constant Coefficients
-5.3 Solving Systems and Higher-Order Equations Numerically
-5.4 Introduction to the Phase Plane
-5.5 Applications to Biomathematics: Epidemic and Tumor Growth Models
-5.6 Coupled Mass-Spring Systems
-5.7 Electrical Systems
-5.8 Dynamical Systems, Poincaré Maps, and Chaos
6. Theory of Higher-Order Linear Differential Equations
-6.1 Basic Theory of Linear Differential Equations
-6.2 Homogeneous Linear Equations with Constant Coefficients
-6.3 Undetermined Coefficients and the Annihilator Method
-6.4 Method of Variation of Parameters
-1.1 Background
-1.2 Solutions and Initial Value Problems
-1.3 Direction Fields
-1.4 The Approximation Method of Euler
2. First-Order Differential Equations
-2.1 Introduction: Motion of a Falling Body
-2.2 Separable Equations
-2.3 Linear Equations
-2.4 Exact Equations
-2.5 Special Integrating Factors
-2.6 Substitutions and Transformations
3. Mathematical Models and Numerical Methods Involving First Order Equations
-3.1 Mathematical Modeling
-3.2 Compartmental Analysis
-3.3 Heating and Cooling of Buildings
-3.4 Newtonian Mechanics
-3.5 Electrical Circuits
-3.6 Improved Euler's Method
-3.7 Higher-Order Numerical Methods: Taylor and Runge-Kutta
4. Linear Second-Order Equations
-4.1 Introduction: The Mass-Spring Oscillator
-4.2 Homogeneous Linear Equations: The General Solution
-4.3 Auxiliary Equations with Complex Roots
-4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients
-4.5 The Superposition Principle and Undetermined Coefficients Revisited
-4.6 Variation of Parameters
-4.7 Variable-Coefficient Equations
-4.8 Qualitative Considerations for Variable-Coefficient and Nonlinear Equations
-4.9 A Closer Look at Free Mechanical Vibrations
-4.10 A Closer Look at Forced Mechanical Vibrations
5. Introduction to Systems and Phase Plane Analysis
-5.1 Interconnected Fluid Tanks
-5.2 Elimination Method for Systems with Constant Coefficients
-5.3 Solving Systems and Higher-Order Equations Numerically
-5.4 Introduction to the Phase Plane
-5.5 Applications to Biomathematics: Epidemic and Tumor Growth Models
-5.6 Coupled Mass-Spring Systems
-5.7 Electrical Systems
-5.8 Dynamical Systems, Poincaré Maps, and Chaos
6. Theory of Higher-Order Linear Differential Equations
-6.1 Basic Theory of Linear Differential Equations
-6.2 Homogeneous Linear Equations with Constant Coefficients
-6.3 Undetermined Coefficients and the Annihilator Method
-6.4 Method of Variation of Parameters
7. Laplace Transforms
-7.1 Introduction: A Mixing Problem
-7.2 Definition of the Laplace Transform
-7.3 Properties of the Laplace Transform
-7.4 Inverse Laplace Transform
-7.5 Solving Initial Value Problems
-7.6 Transforms of Discontinuous Functions
-7.7 Transforms of Periodic and Power Functions
-7.8 Convolution
-7.9 Impulses and the Dirac Delta Function
-7.10 Solving Linear Systems with Laplace Transforms
8. Series Solutions of Differential Equations
-8.1 Introduction: The Taylor Polynomial Approximation
-8.2 Power Series and Analytic Functions
-8.3 Power Series Solutions to Linear Differential Equations
-8.4 Equations with Analytic Coefficients
-8.5 Cauchy-Euler (Equidimensional) Equations
-8.6 Method of Frobenius
-8.7 Finding a Second Linearly Independent Solution
-8.8 Special Functions
9. Matrix Methods for Linear Systems
-9.1 Introduction
-9.2 Review 1: Linear Algebraic Equations
-9.3 Review 2: Matrices and Vectors
-9.4 Linear Systems in Normal Form
-9.5 Homogeneous Linear Systems with Constant Coefficients
-9.6 Complex Eigenvalues
-9.7 Nonhomogeneous Linear Systems
-9.8 The Matrix Exponential Function
10. Partial Differential Equations
-10.1 Introduction: A Model for Heat Flow
-10.2 Method of Separation of Variables
-10.3 Fourier Series
-10.4 Fourier Cosine and Sine Series
-10.5 The Heat Equation
-10.6 The Wave Equation
-10.7 Laplace's Equation
Appendices
-Newton’s Method
-Simpson’s Rule
-Cramer’s Rule
-Method of Least Squares
-Runge-Kutta Procedure for n Equations
-7.1 Introduction: A Mixing Problem
-7.2 Definition of the Laplace Transform
-7.3 Properties of the Laplace Transform
-7.4 Inverse Laplace Transform
-7.5 Solving Initial Value Problems
-7.6 Transforms of Discontinuous Functions
-7.7 Transforms of Periodic and Power Functions
-7.8 Convolution
-7.9 Impulses and the Dirac Delta Function
-7.10 Solving Linear Systems with Laplace Transforms
8. Series Solutions of Differential Equations
-8.1 Introduction: The Taylor Polynomial Approximation
-8.2 Power Series and Analytic Functions
-8.3 Power Series Solutions to Linear Differential Equations
-8.4 Equations with Analytic Coefficients
-8.5 Cauchy-Euler (Equidimensional) Equations
-8.6 Method of Frobenius
-8.7 Finding a Second Linearly Independent Solution
-8.8 Special Functions
9. Matrix Methods for Linear Systems
-9.1 Introduction
-9.2 Review 1: Linear Algebraic Equations
-9.3 Review 2: Matrices and Vectors
-9.4 Linear Systems in Normal Form
-9.5 Homogeneous Linear Systems with Constant Coefficients
-9.6 Complex Eigenvalues
-9.7 Nonhomogeneous Linear Systems
-9.8 The Matrix Exponential Function
10. Partial Differential Equations
-10.1 Introduction: A Model for Heat Flow
-10.2 Method of Separation of Variables
-10.3 Fourier Series
-10.4 Fourier Cosine and Sine Series
-10.5 The Heat Equation
-10.6 The Wave Equation
-10.7 Laplace's Equation
Appendices
-Newton’s Method
-Simpson’s Rule
-Cramer’s Rule
-Method of Least Squares
-Runge-Kutta Procedure for n Equations
Afgekapt op 61 regels
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