Differential equations with boundary value problems (Record no. 142829)

000 -LEADER
fixed length control field 04687nam a22002417a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20150703091923.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 150617b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781292039152
040 ## - CATALOGING SOURCE
Transcribing agency OUSL
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.35
Item number P54
100 ## - MAIN ENTRY--PERSONAL NAME
9 (RLIN) 19770
Personal name Polking, John
245 ## - TITLE STATEMENT
Title Differential equations with boundary value problems
250 ## - EDITION STATEMENT
Edition statement 2dn ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Harlow :
Name of publisher, distributor, etc. Pearson,
Date of publication, distribution, etc. 2014.
300 ## - PHYSICAL DESCRIPTION
Extent ii, 704p. ;
Dimensions 28cm.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter 1: Introduction to Differential Equations Differential Equation Models. The Derivative. Integration. Chapter 2: First-Order Equations Differential Equations and Solutions. Solutions to Separable Equations. Models of Motion. Linear Equations. Mixing Problems. Exact Differential Equations. Existence and Uniqueness of Solutions. Dependence of Solutions on Initial Conditions. Autonomous Equations and Stability. Project 2.10 The Daredevil Skydiver. Chapter 3: Modeling and Applications Modeling Population Growth. Models and the Real World. Personal Finance. Electrical Circuits. Project 3.5 The Spruce Budworm. Project 3.6 Social Security, Now or Later. Chapter 4: Second-Order Equations Definitions and Examples. Second-Order Equations and Systems. Linear, Homogeneous Equations with Constant Coefficients. Harmonic Motion. Inhomogeneous Equations; the Method of Undetermined Coefficients. Variation of Parameters. Forced Harmonic Motion. Project 4.8 Nonlinear Oscillators. Chapter 5: The Laplace Transform The Definition of the Laplace Transform. Basic Properties of the Laplace Transform 241. The Inverse Laplace Transform Using the Laplace Transform to Solve Differential Equations. Discontinuous Forcing Terms. The Delta Function. Convolutions. Summary. Project 5.9 Forced Harmonic Oscillators. Chapter 6: Numerical Methods Euler's Method. Runge-Kutta Methods. Numerical Error Comparisons. Practical Use of Solvers. A Cautionary Tale. Project 6.6 Numerical Error Comparison. Chapter 7: Matrix Algebra Vectors and Matrices. Systems of Linear Equations with Two or Three Variables. Solving Systems of Equations. Homogeneous and Inhomogeneous Systems. Bases of a subspace. Square Matrices. Determinants. Chapter 8: An Introduction to Systems Definitions and Examples. Geometric Interpretation of Solutions. Qualitative Analysis. Linear Systems. Properties of Linear Systems. Project 8.6 Long-Term Behavior of Solutions. Chapter 9: Linear Systems with Constant Coefficients Overview of the Technique. Planar Systems. Phase Plane Portraits. The Trace-Determinant Plane. Higher Dimensional Systems. The Exponential of a Matrix. Qualitative Analysis of Linear Systems. Higher-Order Linear Equations. Inhomogeneous Linear Systems. Project 9.10 Phase Plane Portraits. Project 9.11 Oscillations of Linear Molecules. Chapter 10: Nonlinear Systems The Linearization of a Nonlinear System. Long-Term Behavior of Solutions. Invariant Sets and the Use of Nullclines. Long-Term Behavior of Solutions to Planar Systems. Conserved Quantities. Nonlinear Mechanics. The Method of Lyapunov. Predator-Prey Systems. Project 10.9 Human Immune Response to Infectious Disease. Project 10.10 Analysis of Competing Species. Chapter 11: Series Solutions to Differential Equations Review of Power Series. Series Solutions Near Ordinary Points. Legendre's Equation. Types of Singular Points-Euler's Equation. Series Solutions Near Regular Singular Points. Series Solutions Near Regular Singular Points - the General Case. Bessel's Equation and Bessel Functions Chapter 12: Fourier Series Computation of Fourier Series. Convergence of Fourier Series. Fourier Cosine and Sine Series. The Complex Form of a Fourier Series. The Discrete Fourier Transform and the FFT. Chapter 13: Partial Differential Equations Derivation of the Heat Equation. Separation of Variables for the Heat Equation. The Wave Equation. Laplace's Equation. Laplace's Equation on a Disk. Sturm Liouville Problems. Orthogonality and Generalized Fourier Series. Temperature in a Ball-Legendre Polynomials. Time Dependent PDEs in Higher Dimension. Domains with Circular Symmetry-Bessel Functions. Appendix: Complex Numbers and Matrices Answers to Odd-Numbered Problems Index
520 ## - SUMMARY, ETC.
Summary, etc. Combining traditional differential equation material with a modern qualitative and systems approach, this new edition continues to deliver flexibility of use and extensive problem sets. The second edition's refreshed presentation includes extensive new visuals, as well as updated exercises throughout.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
9 (RLIN) 389
Topical term or geographic name as entry element Differential equations
General subdivision Boundary value problems
-- Study & teaching
700 ## - ADDED ENTRY--PERSONAL NAME
9 (RLIN) 19771
Personal name Boggess, Albert
700 ## - ADDED ENTRY--PERSONAL NAME
9 (RLIN) 19772
Personal name Arnold, David
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Lending Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Source of acquisition Inventory number Total Checkouts Full call number Barcode Date last seen Date checked out Copy number Price effective from Koha item type Shelving location Cost, normal purchase price
            Badulla Badulla 2018-01-30 Don/Asia Foundation B2175   515.35 P54 B2175 2018-01-30   B2175 2018-01-30 Lending Books 01 0.00
            Badulla Badulla 2018-01-30 Don/Asia Foundation B2176   515.35 P54 B2176 2018-01-30   B2176 2018-01-30 Lending Books 01 0.00
            Badulla Badulla 2018-01-30 Don/Asia Foundation B2177   515.35 P54 B2177 2018-01-30   B2177 2018-01-30 Lending Books 01 0.00
          General Collection Batticaloa Batticaloa 2015-06-25 DON / Asia Foundation BT2698   515.35 P54 BT2698 2015-06-25   BT2698 2015-06-25 Lending Books    
            Jaffna Jaffna 2015-06-25 DON / Asia Foundation J 3205   515.35 P54 J 3205 2015-06-25   J 3205 2015-06-25 Lending Books    
          General Collection OUSL- Main Library OUSL- Main Library 2015-06-10 DON / Asia Foundation 71486 1 515.35 P54 71486 2016-07-25 2016-04-22 71486 2015-06-10 Lending Books    

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