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First Course in Differential Equations with Modeling Applications by Dennis Zill (2012, Hardcover)

Über dieses Produkt

Product Identifiers

PublisherBrooks/Cole
ISBN-101111827052
ISBN-139781111827052
eBay Product ID (ePID)111005068

Product Key Features

Number of Pages464 Pages
Publication NameFirst Course in Differential Equations with Modeling Applications
LanguageEnglish
Publication Year2012
SubjectDifferential Equations / General
TypeTextbook
AuthorDennis Zill
Subject AreaMathematics
FormatHardcover

Dimensions

Item Height0.9 in
Item Weight43.3 Oz
Item Length10.9 in
Item Width8.7 in

Additional Product Features

Edition Number10
Intended AudienceCollege Audience
TitleLeadingA
Dewey Edition23
Dewey Decimal515.35
Table Of Content1. INTRODUCTION TO DIFFERENTIAL EQUATIONS. Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models. Chapter 1 in Review. 2. FIRST-ORDER DIFFERENTIAL EQUATIONS. Solution Curves Without a Solution. Separable Variables. Linear Equations. Exact Equations and Integrating Factors. Solutions by Substitutions. A Numerical Method. Chapter 2 in Review. 3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS. Linear Models. Nonlinear Models. Modeling with Systems of First-Order Differential Equations. Chapter 3 in Review. 4. HIGHER-ORDER DIFFERENTIAL EQUATIONS. Preliminary Theory-Linear Equations. Reduction of Order. Homogeneous Linear Equations with Constant Coefficients. Undetermined Coefficients-Superposition Approach. Undetermined Coefficients-Annihilator Approach. Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Differential Equations by Elimination. Nonlinear Differential Equations. Chapter 4 in Review. 5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS. Linear Models: Initial-Value Problems. Linear Models: Boundary-Value Problems. Nonlinear Models. Chapter 5 in Review. 6. SERIES SOLUTIONS OF LINEAR EQUATIONS. Review of Power Series Solutions About Ordinary Points. Solutions About Singular Points. Special Functions. Chapter 6 in Review. 7. LAPLACE TRANSFORM. Definition of the Laplace Transform. Inverse Transform and Transforms of Derivatives. Operational Properties I. Operational Properties II. Dirac Delta Function. Systems of Linear Differential Equations. Chapter 7 in Review. 8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS. Preliminary Theory. Homogeneous Linear Systems. Nonhomogeneous Linear Systems. Matrix Exponential. Chapter 8 in Review. 9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS. Euler Methods. Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems. Chapter 9 in Review. Appendix I: Gamma Function. Appendix II: Matrices. Appendix III: Laplace Transforms. Answers for Selected Odd-Numbered Problems.
SynopsisA FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible book speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides a thorough treatment of boundary-value problems and partial differential equations.

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  • Different cover but same content

    Great value, pages are black and white but match the american edition. Excellent price-quality ratio.

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  • Good Introduction...

    Haven;t evaluated any other texts in relation to this author. I will use this text next semester.

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  • Almost exactly identical

    Book is almost exactly identical just cheaper and paper back. So far I only ran into about 5 problems that weren't correct. That's because they were swapped. So like #5 in the usual book was #8 in this book and vice versa. Not a huge issue

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  • It was what i needed

    It's a low-cost alternative to the book that's recommended by a bookstore. It has the exact same content. Thx

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  • Great book First Course Differential Equations

    My daughter loved this book; it was her favorite Christmas present!

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  • great value

    arrived quickly! very affordable. thanks

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  • DE Book

    wonderful

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