Differential equations with boundary-value problems / (Record no. 39962)

MARC details
000 -LEADER
fixed length control field nam a22 7a 4500
001 - CONTROL NUMBER
control field 33791
003 - CONTROL NUMBER IDENTIFIER
control field BD-DhAAL
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20211213162823.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180913t2013 acaa|||| |||| 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781133492467
040 ## - CATALOGING SOURCE
Original cataloging agency BD-DhAAL
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Edition number 23
Classification number 515.35
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Zill, Dennis G.
9 (RLIN) 28163
245 ## - TITLE STATEMENT
Title Differential equations with boundary-value problems /
Statement of responsibility, etc Dennis G Zill, Warren S Wright and Michael R Cullen
250 ## - EDITION STATEMENT
Edition statement Eight edition
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Australia :
Name of publisher, distributor, etc Brooks/Cole Cengage Learning,
Date of publication, distribution, etc c2013
300 ## - PHYSICAL DESCRIPTION
Extent xv, 559 pages :
Other physical details some color illustrations ;
Dimensions 27 cm.
500 ## - GENERAL NOTE
General note Includes index
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. 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.10. PLANE AUTONOMOUS SYSTEMS.Autonomous Systems. Stability of Linear Systems. Linearization and Local Stability. Autonomous Systems as Mathematical Models. Chapter 10 in Review.11. ORTHOGONAL FUNCTIONS AND FOURIER SERIES.Orthogonal Functions. Fourier Series and Orthogonal Functions. Fourier Cosine and Sine Series. Sturm-Liouville Problem. Bessel and Legendre Series. Chapter 11 in Review.12. BOUNDARY-VALUE PROBLEMS IN RECTANGULAR COORDINATES.Separable Partial Differential Equations. Classical PDE's and Boundary-Value Problems. Heat Equation. Wave Equation. Laplace's Equation. Nonhomogeneous Boundary-Value Problems. Orthogonal Series Expansions. Higher-Dimensional Problems. Chapter 12 in Review.13. BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS.Polar Coordinates. Polar and Cylindrical Coordinates. Spherical Coordinates. Chapter 13 in Review.14. INTEGRAL TRANSFORM METHOD.Error Function. Laplace Transform. Fourier Integral. Fourier Transforms. Chapter 14 in Review.15. NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS.Laplace's Equation. Heat Equation. Wave Equation. Chapter 15 in Review.Appendix I: Gamma Function.Appendix II: Matrices.Appendix III: Laplace Transforms.Answers for Selected Odd-Numbered Problems.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations
9 (RLIN) 28116
Topical term or geographic name as entry element Boundary value problems
9 (RLIN) 28117
Topical term or geographic name as entry element Electrical engineering.
9 (RLIN) 42640
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Wright, Warren S.
9 (RLIN) 28164
Personal name Cullen, Michael R.
9 (RLIN) 28165
852 ## - LOCATION/CALL NUMBER
Location Ayesha Abed Library
Shelving location General Stacks
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Item type Book
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Total Renewals Full call number Barcode Date last seen Date last borrowed Copy number Cost, replacement price Price effective from Koha item type
    Dewey Decimal Classification     Ayesha Abed Library Ayesha Abed Library General Stacks 13/09/2018 Karim International 16000.00 11 54 515.35 ZIL 3010033791 03/03/2024 24/02/2024 1 16000.00 13/09/2018 Book