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Elementare Differentialgleichungen und Grenzwertprobleme, 8. Auflage,...-
by William E. Boyce; Richard C.... | HC | VeryGood
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eBay-Artikelnr.:376500804310
Artikelmerkmale
- Artikelzustand
- Sehr gut
- Hinweise des Verkäufers
- Binding
- Hardcover
- Book Title
- Elementary Differential Equations and Boundary Value Problems...
- Weight
- 3 lbs
- Product Group
- Book
- IsTextBook
- Yes
- ISBN
- 9780471433385
Über dieses Produkt
Product Identifiers
Publisher
Wiley & Sons, Incorporated, John
ISBN-10
0471433381
ISBN-13
9780471433385
eBay Product ID (ePID)
30216640
Product Key Features
Number of Pages
800 Pages
Publication Name
Elementary Differential Equations and Boundary Value Problems
Language
English
Publication Year
2004
Subject
Differential Equations / General
Features
Revised
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.4 in
Item Weight
56.1 Oz
Item Length
10.2 in
Item Width
8.3 in
Additional Product Features
Edition Number
88
Intended Audience
Trade
LCCN
2003-070545
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
515.35
Table Of Content
Preface. 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: Vibratio
Edition Description
Revised edition
Synopsis
This 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., This revision of the market-leading book maintains its classic strengths: contemporary approach, flexible chapter construction, clear exposition, and outstanding problems., Take advantage of valuable study resources to succeed in your courseThis new edition of Boyce & DiPrima's Elementary Differential Equations and Boundary Value Problems, 8/e, and the accompanying supplements have been carefully developed to give you the support you need to succeed in your course. The Eighth Edition gives you a CD-ROM with powerful ODE Architect modeling software and an array of web-based learning tools to support your studies.The CD-ROM includes: The award-winning ODE Architect software. The software's 14 modules enable you to build and solve your own ODEs, and to use simulations and multimedia to develop detailed mathematical models and concepts in a truly interactive environment. The ODE Architect Companion. The Companion extends the ideas featured in each multimedia module. The web-based learning tools include: Review & Study Guidelines. The Chapter Review Guidelines will help you prepare for quizzes and exams. Online Review Quizzes. The quizzes enable you to test your knowledge of key concepts and provide diagnostic feedback that references appropriate sections in the text. PowerPoint Slides. You can print these slides out for in-class note taking. Getting Started with ODE Architect. This guide will help you get up-and-running with ODE Architect's simulations and multimedia.
LC Classification Number
QA371.B773 2004
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