MARC details
| 000 -LEADER |
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| fixed length control field |
05076cam a2200325 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
13105955 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20210905103803.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
030227s2004 maua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0321188888 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
DLC |
| Description conventions |
rda |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.35 |
| Edition number |
21 |
| Item number |
N.R.F |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Nagle, R. Kent. |
| 9 (RLIN) |
6722 |
| Relator term |
author |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Fundamentals of differential equations. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
sixth edition / |
| Remainder of edition statement |
R. Kent Nagle, Edward B. Saff, Arthur David Snider. |
| 264 #4 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Boston : |
| Name of publisher, distributor, etc |
Pearson Addison Wesley, |
| Date of publication, distribution, etc |
c2004. |
| 264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Date of publication, distribution, etc |
c2004. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xx, 835 pages : |
| Other physical details |
illustrations (some color) ; |
| Dimensions |
24 cm. + |
| Accompanying material |
3 computer discs (4 3/4 in.) |
| 336 ## - CONTENT TYPE |
|---|
| Source |
rdacontent |
| Content type term |
text |
| 337 ## - MEDIA TYPE |
|---|
| Source |
rdamedia |
| Media type term |
unmediated |
| 338 ## - CARRIER TYPE |
|---|
| Source |
rdacarrier |
| Carrier type term |
volume |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
(Most chapters end with a Chapter Summary, Review Problems and Group Projects.)1. Introduction. Background.Solutions and Initial Value Problems.Direction Fields.The Approximation Method of Euler.2. First Order Differential Equations. Introduction: Motion of a Falling Body.Separable Equations.Linear Equations.Exact Equations.Special Integrating Factors.Substitutions and Transformations.3. Mathematical Models and Numerical Methods Involving First Order Equations. Mathematical Modeling.Compartmental Analysis.Heating and Cooling of Buildings.Newtonian Mechanics.Electrical Circuits.Improved Euler's Method.Higher-Order Numerical Methods: Taylor and Runge-Kutta.4. Linear Second Order Equations. Introduction: The Mass-Spring Oscillator.Homogeneous Linear Equations; the General Solution.Auxiliary Equations with Complex Roots.Nonhomogeneous Equations: the Method of Undetermined Coefficients.The Superposition Principle and Undetermined Coefficients Revisited.Variation of Parameters.Qualitative Considerations for Variable-Coefficient and Nonlinear Equations.A Closer Look at Free Mechanical Vibrations.A Closer Look at Forced Mechanical Vibrations.5. Introduction to Systems and Phase Plane Analysis. Interconnected Fluid Tanks.Elimination Method for Systems with Constant Coefficients.Solving Systems and Higher-Order Equations Numerically.Introduction to the Phase Plane.Coupled Mass-Spring Systems.Electrical Systems.Dynamical Systems, Poincare Maps, and Chaos.6. Theory of Higher-Order Linear Differential Equations. Basic Theory of Linear Differential Equations.Homogeneous Linear Equations with Constant Coefficients.Undetermined Coefficients and the Annihilator Method.Method of Variation of Parameters.7. Laplace Transforms. Introduction: A Mixing Problem.Definition of the Laplace Transform.Properties of the Laplace Transform.Inverse Laplace Transform.Solving Initial Value Problems.Transforms of Discontinuous and Periodic Functions.Convolution.Impulses and the Dirac Delta Function.Solving Linear Systems with Laplace Transforms.8. Series Solutions of Differential Equations. Introduction: The Taylor Polynomial Approximation.Power Series and Analytic Functions.Power Series Solutions to Linear Differential Equations.Equations with Analytic Coefficients.Cauchy-Euler (Equidimensional) Equations.Method of Frobenius.Finding a Second Linearly Independent Solution.Special Functions.9. Matrix Methods for Linear Systems. Introduction.Review 1: Linear Algebraic Equations.Review 2: Matrices and Vectors.Linear Systems in Normal Form.Homogeneous Linear Systems with Constant Coefficients.Complex Eigenvalues.Nonhomogeneous Linear Systems.The Matrix Exponential Function.10. Partial Differential Equations. Introduction: A Model for Heat Flow.Method of Separation of Variables.Fourier Series.Fourier Cosine and Sine Series.The Heat Equation.The Wave Equation.Laplace's Equation.11. Eigenvalue Problems and Sturm-Liouville Equations. Introduction: Heat Flow in a Nonuniform Wire.Eigenvalues and Eigenfunctions.Regular Sturm-Liouville Boundary Value Problems.Nonhomogeneous Boundary Value Problems and the Fredholm Alternative.Solution by Eigenfunction Expansion.Green's Functions.Singular Sturm-Liouville Boundary Value Problems.Oscillation and Comparison Theory.12. Stability of Autonomous Systems. Introduction: Competing Species.Linear Systems in the Plane.Almost Linear Systems.Energy Methods.Lyapunov's Direct Method.Limit Cycles and Periodic Solutions.Stability of Higher-Dimensional Systems.13. Existence and Uniqueness Theory. Introduction: Successive Approximations.Picard's Existence and Uniqueness Theorem.Existence of Solutions of Linear Equations.Continuous Dependence of Solutions.Appendices. Newton's Method.Simpson's Rule.Cramer's Rule.Method of Least Squares.Runge-Kutta Precedure for n Equations.Answers to Odd-Numbered Problems. Index.<br/> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential equations. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Saff, E. B., |
| Dates associated with a name |
1944- |
| 9 (RLIN) |
6724 |
| Relator term |
author |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Snider, Arthur David, |
| Dates associated with a name |
1940- |
| 9 (RLIN) |
6725 |
| Relator term |
author |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
|---|
| a |
7 |
| b |
cbc |
| c |
orignew |
| d |
1 |
| e |
ocip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |