A first course in differential equations (Record no. 41371)

MARC details
000 -LEADER
fixed length control field 03146nam a2200193 a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9780534373887
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 0534373887
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 615.35
Item number ZIL
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Zill, Dennis G
245 #2 - TITLE STATEMENT
Title A first course in differential equations
250 ## - EDITION STATEMENT
Edition statement 5th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Pacific Grove, CA :
Name of publisher Brooks/Cole,
Year of publication ©2001.
300 ## - PHYSICAL DESCRIPTION
Number of Pages xiii, 462 pages :
Other physical details illustrations (some color), maps ;
500 ## - GENERAL NOTE
General note Index annexed
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. 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 PROBLEMS
520 ## - SUMMARY, ETC.
Summary, etc This work is intended for instructors who prefer not to emphasize technology, modelling, and applications but instead want to focus on fundamental theory and techniques.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Differential equations.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Reference Books
Holdings
Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Koha item type
Reference Main Library Main Library Reference 24/07/2013 Purshased 13560.00 615.35 ZIL 013404 Reference Books

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