A First Course in Differential Equations The Classic Edition Dennis Zill

Description: About this productProduct InformationThe CLASSIC EDITION of Zill's respected book was designed for instructors who prefer not to emphasize technology, modeling, and applications,but instead want to focus on fundamental theory and techniques. Zill's CLASSIC EDITION, a reissue of the fifth edition, offers his excellentwriting style, a flexible organization, an accessible level of presentation, and a wide variety of examples and exercises, all of which make iteasy to teach from and easy for readers to understand and use.Product IdentifiersPublisherBrooks/ColeISBN-100534373887ISBN-139780534373887eBay Product ID (ePID)1671264Product Key FeaturesAuthorDennis G. ZillPublication NameFIRST Course in Differential Equations Classic Edition : the Classic Fifth EditionFormatHardcoverLanguageEnglishFeaturesRevisedPublication Year2000TypeTextbookNumber of Pages520 PagesDimensionsItem Length10.3in.Item Height0.9in.Item Width8.3in.Item Weight37.6 OzAdditional Product FeaturesLc Classification NumberQa372.Z54 2001Edition DescriptionRevised EditionEdition Number5Reviews1. INTRODUCTION TO DIFFERENTIAL EQUATIONSBasic Definitions and Terminology / Some Mathematical Models / Review / Exercises2. FIRST-ORDER DIFFERENTIAL EQUATIONSPreliminary Theory / Separable Variables / Homogeneous Equations / Exact Equations / Linear Equations / Equations of Bernoulli, Ricatti, and Clairaut / Substitutions / Picard's Method / Review / Exercises3. APPLICATIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONSOrthogonal Trajectories / Applications of Linear Equations / Applications of Nonlinear Equations / Review / Exercises / Essay: Population Dynamics4. LINEAR DIFFERENTIAL EQUATIONS OF HIGHER-ORDERPreliminary Theory / Constructing a Second Solution from a Know Solution / Homogeneous Linear Equations with Constant Coefficients / Undetermined Coefficients: Superposition Approach / Differential Operators / Undetermined Coefficients: Annihilator Approach / Variation of Parameters / Review / Exercises / Essay: Chaos5. APPLICATIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS: VIBRATIONAL MODELSSimple Harmonic Motion / Damped Motion / Forced Motion / Electric Circuits and Other Analogous Systems / Review / Exercises / Essay: Tacoma Narrows Suspension Bridge Collapse6. DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTSCauchy-Euler Equation / Review of Power Series; Power Series Solutions / Solutions About Ordinary Points / Solutions About Singular Points / Two Special Equations / Review / Exercises7. LAPLACE TRANSFORMLaplace Transform / Inverse Transform / Translation Theorems and Derivatives of a Transform / Transforms of Derivatives, Integrals, and Periodic Functions / Applications / Dirac Delta Function / Review / Exercises8. SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONSOperator Method / Laplace Transform Method / Systems of Linear First-Order Equations / Introduction to Matrices / Matrices and Systems of Linear First-Order Equations / Homogeneous Linear Systems / Undetermined Coefficients / Variation of Parameters / Matrix Exponential / Review / Exercises9. NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONSDirection Fields / The Euler Methods / The Three-Term Taylor Method / The Runge-Kutta Methods / Multistep Methods / Errors and Stability / Higher-Order Equations and Systems / Second-Order Boundary-Value Problems / Review / Exercises / Essay: Nerve Impulse Models / APPENDIX I: GAMMA FUNCTION / APPENDIX II: LAPLACE TRANSFORMS / APPENDIX III: REVIEW OF DETERMINANTS / APPENDIX IV: COMPLEX NUMBERS / ANSWERS TO ODD-NUMBERED PROBLEMSTable of Content1. INTRODUCTION TO DIFFERENTIAL EQUATIONSBasic Definitions and Terminology / Some Mathematical Models / Review / Exercises2. FIRST-ORDER DIFFERENTIAL EQUATIONSPreliminary Theory / Separable Variables / Homogeneous Equations / Exact Equations / Linear Equations / Equations of Bernoulli, Ricatti, and Clairaut / Substitutions / Picard''''s Method / Review / Exercises3. APPLICATIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONSOrthogonal Trajectories / Applications of Linear Equations / Applications of Nonlinear Equations / Review / Exercises / Essay: Population Dynamics4. LINEAR DIFFERENTIAL EQUATIONS OF HIGHER-ORDERPreliminary Theory / Constructing a Second Solution from a Know Solution / Homogeneous Linear Equations with Constant Coefficients / Undetermined Coefficients: Superposition Approach / Differential Operators / Undetermined Coefficients: Annihilator Approach / Variation of Parameters / Review / Exercises / Essay: Chaos5. APPLICATIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS: VIBRATIONAL MODELSSimple Harmonic Motion / Damped Motion / Forced Motion / Electric Circuits and Other Analogous Systems / Review / Exercises / Essay: Tacoma Narrows Suspension Bridge Collapse6. DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTSCauchy-Euler Equation / Review of Power Series; Power Series Solutions / Solutions About Ordinary Points / Solutions About Singular Points / Two Special Equations / Review / Exercises7. LAPLACE TRANSFORMLaplace Transform / Inverse Transform / Translation Theorems and Derivatives of a Transform / Transforms of Derivatives, Integrals, and Periodic Functions / Applications / Dirac Delta Function / Review / Exercises8. SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONSOperator Method / Laplace Transform Method / Systems of Linear First-Order Equations / Introduction to Matrices / Matrices and Systems of Linear First-Order Equations / Homogeneous Linear Systems / Undetermined Coefficients / Variation of Parameters / Matrix Exponential / Review / Exercises9. NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONSDirection Fields / The Euler Methods / The Three-Term Taylor Method / The Runge-Kutta Methods / Multistep Methods / Errors and Stability / Higher-Order Equations and Systems / Second-Order Boundary-Value Problems / Review / Exercises / Essay: Nerve Impulse Models / APPENDIX I: GAMMA FUNCTION / APPENDIX II: LAPLACE TRANSFORMS / APPENDIX III: REVIEW OF DETERMINANTS / APPENDIX IV: COMPLEX NUMBERS / ANSWERS TO ODD-NUMBERED PROBLEMSCopyright Date2001Target AudienceCollege AudienceTopicDifferential Equations / General, General, CalculusLccn00-058596Dewey Decimal515/.35Dewey Edition21IllustratedYesGenreMathematics

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