Name: Elementary Differential Equations 10E By William E. Boyce
SKU: 9780470458327
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Elementary Differential Equations 10E Summary

Elementary Differential Equations 10E by William E. Boyce

Boyce/DiPrima is the best-seller in its market and extremely popular. The format remains unchanged, but exercises and examples have been updated to reflect the most current scenarios and topics.

About William E. Boyce

Dr. Boyce received his B.A. degree in Mathematics from Rhodes College, and his M.S. and Ph.D. degrees in Mathematics from Carnegie-Mellon University. He is a member of the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics. He is currently the Edward P. Hamilton Distinguished Professor Emeritus of Science Education (Department of Mathematical Sciences) at Rensselaer. He is the author of numerous technical papers in boundary value problems and random differential equations and their applications. He is the author of several textbooks including two differential equations texts. In 1991 he received the William H.Wiley Distinguished Faculty Award given by Rensselaer.

Chapter 1 Introduction 1 1.1 Some Basic Mathematical Models; Direction Fields 1 1.2 Solutions of Some Differential Equations 10 1.3 Classification of Differential Equations 19 1.4 Historical Remarks 26 Chapter 2 First Order Differential Equations 31 2.1 Linear Equations; Method of Integrating Factors 31 2.2 Separable Equations 42 2.3 Modeling with First Order Equations 51 2.4 Differences Between Linear and Nonlinear Equations 68 2.5 Autonomous Equations and Population Dynamics 78 2.6 Exact Equations and Integrating Factors 95 2.7 Numerical Approximations: Euler's Method 102 2.8 The Existence and Uniqueness Theorem 112 2.9 First Order Difference Equations 122 Chapter 3 Second Order Linear Equations 137 3.1 Homogeneous Equations with Constant Coefficients 137 3.2 Solutions of Linear Homogeneous Equations; the Wronskian 145 3.3 Complex Roots of the Characteristic Equation 158 3.4 Repeated Roots; Reduction of Order 167 3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients 175 3.6 Variation of Parameters 186 3.7 Mechanical and Electrical Vibrations 192 3.8 Forced Vibrations 207 Chapter 4 Higher Order Linear Equations 221 4.1 General Theory of nth Order Linear Equations 221 4.2 Homogeneous Equations with Constant Coefficients 228 4.3 The Method of Undetermined Coefficients 236 4.4 The Method of Variation of Parameters 241 Chapter 5 Series Solutions of Second Order Linear Equations 247 5.1 Review of Power Series 247 5.2 Series Solutions Near an Ordinary Point, Part I 254 5.3 Series Solutions Near an Ordinary Point, Part II 265 5.4 Euler Equations; Regular Singular Points 272 5.5 Series Solutions Near a Regular Singular Point, Part I 282 5.6 Series Solutions Near a Regular Singular Point, Part II 288 5.7 Bessel's Equation 296 Chapter 6 The Laplace Transform 309 6.1 Definition of the Laplace Transform 309 6.2 Solution of Initial Value Problems 317 6.3 Step Functions 327 6.4 Differential Equations with Discontinuous Forcing Functions 336 6.5 Impulse Functions 343 6.6 The Convolution Integral 350 Chapter 7 Systems of First Order Linear Equations 359 7.1 Introduction 359 7.2 Review of Matrices 368 7.3 Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors 378 7.4 Basic Theory of Systems of First Order Linear Equations 390 7.5 Homogeneous Linear Systems with Constant Coefficients 396 7.6 Complex Eigenvalues 408 7.7 Fundamental Matrices 421 7.8 Repeated Eigenvalues 429 7.9 Nonhomogeneous Linear Systems 440 Chapter 8 Numerical Methods 451 8.1 The Euler or Tangent Line Method 451 8.2 Improvements on the Euler Method 462 8.3 The Runge--Kutta Method 468 8.4 Multistep Methods 472 8.5 Systems of First Order Equations 478 8.6 More on Errors; Stability 482 Chapter 9 Nonlinear Differential Equations and Stability 495 9.1 The Phase Plane: Linear Systems 495 9.2 Autonomous Systems and Stability 508 9.3 Locally Linear Systems 519 9.4 Competing Species 531 9.5 Predator--Prey Equations 544 9.6 Liapunov's Second Method 554 9.7 Periodic Solutions and Limit Cycles 565 9.8 Chaos and Strange Attractors: The Lorenz Equations 577 Answers to Problems 589 Index 637

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Sku

CIN0470458321G

ISBN 13

9780470458327

ISBN 10

0470458321

Title

Elementary Differential Equations 10E by William E. Boyce

Author

William E. Boyce

Condition

Used - Good

Binding type

Hardback

Publisher

John Wiley and Sons Ltd

Year published

20121003

Number of pages

672

Prizes

N/A

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This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

Elementary Differential Equations 10E William E. Boyce

Elementary Differential Equations 10E by William E. Boyce

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Elementary Differential Equations 10E Summary

Elementary Differential Equations 10E by William E. Boyce

About William E. Boyce

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