본문 바로가기
장바구니0

Differential Equations & Linear Algebra, 3/Ed > 수학/통계학

도서간략정보

Differential Equations & Linear Algebra, 3/Ed
판매가격 15,000원
저자 Edwards
도서종류 외국도서
출판사 Pearson Education
발행언어 영어
발행일 2008-10
페이지수 792
ISBN 9780136054252
도서구매안내 온, 오프라인 서점에서 구매 하실 수 있습니다.

구매기능

  • 도서 정보

    도서 상세설명

    CHAPTER 1. First-Order Differential Equations
    1.1 Differential Equations and Mathematical Models
    1.2 Integrals as General and Particular Solutions
    1.3 Slope Fields and Solution Curves
    1.4 Separable Equations and Applications
    1.5 Linear First-Order Equations
    1.6 Substitution Methods and Exact Equations

    CHAPTER 2. Mathematical Models and Numerical Methods
    2.1 Population Models
    2.2 Equilibrium Solutions and Stability
    2.3 Acceleration–Velocity Models
    2.4 Numerical Approximation: Euler's Method
    2.5 A Closer Look at the Euler Method
    2.6 The Runge–Kutta Method

    CHAPTER 3. Linear Systems and Matrices
    3.1 Introduction to Linear Systems
    3.2 Matrices and Gaussian Elimination
    3.3 Reduced Row-Echelon Matrices
    3.4 Matrix Operations
    3.5 Inverses of Matrices
    3.6 Determinants
    3.7 Linear Equations and Curve Fitting

    CHAPTER 4. Vector Spaces
    4.1 The Vector Space R3
    4.2 The Vector Space Rn and Subspaces
    4.3 Linear Combinations and Independence of Vectors
    4.4 Bases and Dimension for Vector Spaces
    4.5 Row and Column Spaces
    4.6 Orthogonal Vectors in Rn
    4.7 General Vector Spaces

    CHAPTER 5. Higher-Order Linear Differential Equations
    5.1 Introduction: Second-Order Linear Equations
    5.2 General Solutions of Linear Equations
    5.3 Homogeneous Equations with Constant Coefficients
    5.4 Mechanical Vibrations
    5.5 Nonhomogeneous Equations and Undetermined Coefficients
    5.6 Forced Oscillations and Resonance

    CHAPTER 6. Eigenvalues and Eigenvectors
    6.1 Introduction to Eigenvalues
    6.2 Diagonalization of Matrices
    6.3 ApplicationsInvolving Powers of Matrices

    CHAPTER 7. Linear Systems of Differential Equations
    7.1 First-Order Systems and Applications
    7.2 Matrices and Linear Systems
    7.3 The Eigenvalue Method for Linear Systems
    7.4 Second-Order Systems and Mechanical Applications
    7.5 Multiple Eigenvalue Solutions
    7.6 Numerical Methods for Systems

    CHAPTER 8. Matrix Exponential Methods
    8.1 Matrix Exponentials and Linear Systems
    8.2 Nonhomogeneous Linear Systems
    8.3 Spectral Decomposition Methods

    CHAPTER 9. Nonlinear Systems and Phenomena
    9.1 Stability and the Phase Plane
    9.2 Linear and Almost Linear Systems
    9.3 Ecological Models: Predators and Competitors
    9.4 Nonlinear Mechanical Systems

    CHAPTER 10. Laplace Transform Methods
    10.1 Laplace Transforms and Inverse Transforms
    10.2 Transformation of Initial Value Problems
    10.3 Translation and Partial Fractions
    10.4 Derivatives, Integrals, and Products of Transforms
    10.5 Periodic and Piecewise Continuous Input Functions

    CHAPTER 11. Power Series Methods
    11.1 Introduction and Review of Power Series
    11.2 Power Series Solutions
    11.3 Frobenius Series Solutions
    11.4 Bessel Functions

    References for Further Study
    Appendix A: Existence and Uniqueness of Solutions
    Appendix B: Theory of Determinants
    Answers to Selected Problems
    Index

    APPLICATION MODULES
    The modules listed here follow the indicated sections in the text. Most provide computing projects that illustrate the corresponding text sections. Maple, Mathematica, and MATLAB versions of these investigations are included in the Applications Manual that accompanies this textbook.

    1.3 Computer-Generated Slope Fields and Solution Curves
    1.4 The Logistic Equation
    1.5 Indoor Temperature Oscillations
    1.6 Computer Algebra Solutions
    2.1 Logistic Modeling of Population Data
    2.3 Rocket Propulsion
    2.4 Implementing Euler's Method
    2.5 Improved Euler Implementation
    2.6 Runge-Kutta Implementation
    3.2 Automated Row Operations
    3.3 Automated Row Reduction
    3.5 Automated Solution of Linear Systems
    5.1 Plotting Second-Order Solution Families
    5.2 Plotting Third-Order Solution Families
    5.3 Approximate Solutions of Linear Equations
    5.5 Automated Variation of Parameters
    5.6 Forced Vibrations and Resonance
    7.1 Gravitation and Kepler's Laws of Planetary Motion
    7.3 Automatic Calculation of Eigenvalues and Eigenvectors
    7.4 Earthquake-Induced Vibrations of Multistory Buildings
    7.5 Defective Eigenvalues and Generalized Eigenvectors
    7.6 Comets and Spacecraft
    8.1 Automated Matrix Exponential Solutions
    8.2 Automated Variation of Parameters
    9.1 Phase Portraits and First-Order Equations
    9.2 Phase Portraits of Almost Linear Systems
    9.3 Your Own Wildlife Conservation Preserve
    9.4 The Rayleigh and van der Pol Equations

  • 사용후기

    사용후기가 없습니다.

  • 배송/교환정보

    배송정보

    배송 안내 입력전입니다.

    교환/반품

    교환/반품 안내 입력전입니다.

선택하신 도서가 장바구니에 담겼습니다.

계속 둘러보기 장바구니보기
회사소개 개인정보 이용약관
Copyright © 2001-2019 도서출판 홍릉. All Rights Reserved.
상단으로