Elementary Differential Equations and Boundary Value Problems by Richard C....

Description: About this productProduct InformationThis revision of the market-leading book maintains its classic strengths: contemporary approach, flexible chapter construction, clear exposition, and outstanding problems. Like its predecessors, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of Differential Equations as they apply to engineering and the sciences. Sound and Accurate Exposition of Theory--special attention is made to methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace development of the discipline and identify outstanding individual contributions.Product IdentifiersPublisherWiley & Sons, Incorporated, JohnISBN-100471433381ISBN-139780471433385eBay Product ID (ePID)30216640Product Key FeaturesAuthorRichard C. Diprima, William E. BoycePublication NameElementary Differential Equations and Boundary Value ProblemsFormatHardcoverLanguageEnglishFeaturesRevisedPublication Year2004TypeTextbookNumber of Pages800 PagesDimensionsItem Length10.2in.Item Height1.4in.Item Width8.3in.Item Weight56.1 OzAdditional Product FeaturesLc Classification NumberQa371.B773 2004Edition DescriptionRevised EditionEdition Number88Table of ContentPreface. Chapter 1. Introduction. 1.1 Some Basic Mathematical Models; Direction Fields. 1.2 Solutions of Some Differential Equations. 1.3 Classi.cation of Differential Equations. 1.4 Historical Remarks. Chapter 2. First Order Differential Equations. 2.1 Linear Equations; Method of Integrating Factors. 2.2 Separable Equations. 2.3 Modeling with First Order Equations. 2.4 Differences Between Linear and Nonlinear Equations. 2.5 Autonomous Equations and Population Dynamics. 2.6 Exact Equations and Integrating Factors. 2.7 Numerical Approximations: Euler's Method. 2.8 The Existence and Uniqueness Theorem. 2.9 First Order Difference Equations. Chapter 3. SecondOrd er Linear Equations. 3.1 Homogeneous Equations with Constant Coeficients. 3.2 Fundamental Solutions of Linear Homogeneous Equations. 3.3 Linear Independence and the Wronskian. 3.4 Complex Roots of the Characteristic Equation. 3.5 Repeated Roots; Reduction of Order. 3.6 Nonhomogeneous Equations; Method of Undetermined Coeficients. 3.7 Variation of Parameters. 3.8 Mechanical and Electrical Vibrations. 3.9 Forced Vibrations. Chapter 4. Higher Order Linear Equations. 4.1 General Theory of nth Order Linear Equations. 4.2 Homogeneous Equations with Constant Coeficients. 4.3 The Method of Undetermined Coeficients. 4.4 The Method of Variation of Parameters. Chapter 5. Series Solutions of Second Order Linear Equations. 5.1 Review of Power Series. 5.2 Series Solutions Near an Ordinary Point, Part I. 5.3 Series Solutions Near an Ordinary Point, Part II. 5.4 Regular Singular Points. 5.5 Euler Equations. 5.6 Series Solutions Near a Regular Singular Point, Part I. 5.7 Series Solutions Near a Regular Singular Point, Part II. 5.8 Bessel's Equation. Chapter 6. The Laplace Transform. 6.1 De.nition of the Laplace Transform. 6.2 Solution of Initial Value Problems. 6.3 Step Functions. 6.4 Differential Equations with Discontinuous Forcing Functions. 6.5 Impulse Functions. 6.6 The Convolution Integral. Chapter 7. Systems of First Order Linear Equations. 7.1 Introduction. 7.2 Review of Matrices. 7.3 Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors. 7.4 Basic Theory of Systems of First Order Linear Equations. 7.5 Homogeneous Linear Systems with Constant Coeficients. 7.6 Complex Eigenvalues. 7.7 Fundamental Matrices. 7.8 Repeated Eigenvalues. 7.9 Nonhomogeneous Linear Systems. Chapter 8. Numerical Methods. 8.1 The Euler or Tangent Line Method. 8.2 Improvements on the Euler Method. 8.3 The Runge-Kutta Method. 8.4 Multistep Methods. 8.5 More on Errors; Stability. 8.6 Systems of First Order Equations. Chapter 9. Nonlinear Differential Equations andStability. 9.1 The Phase Plane: Linear Systems. 9.2 Autonomous Systems and Stability. 9.3 Almost Linear Systems. 9.4 Competing Species. 9.5 Predator-Prey Equations. 9.6 Liapunov's Second Method. 9.7 Periodic Solutions and Limit Cycles. 9.8 Chaos and Strange Attractors: The Lorenz Equations. Chapter 10. Partial Differential Equations andF ourier Series. 10.1 Two-Point Boundary Value Problems. 10.2 Fourier Series. 10.3 The Fourier Convergence Theorem. 10.4 Even and Odd Functions. 10.5 Separation of Variables; Heat Conduction in a Rod. 10.6 Other Heat Conduction Problems. 10.7 TheWave Equation: VibratioCopyright Date2005Target AudienceTradeTopicDifferential Equations / GeneralLccn2003-070545Dewey Decimal515.35Dewey Edition21IllustratedYesGenreMathematics

Price: 11.9 USD

Location: Multiple Locations

End Time: 2024-08-24T00:17:30.000Z

Shipping Cost: 3.97 USD