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catalog contributor b13009564.
catalog contributor b13009565.
catalog contributor b13009566.
catalog created "c2002.".
catalog date "2002".
catalog date "c2002.".
catalog dateCopyrighted "c2002.".
catalog description "1 First-order differential equations -- Modeling via differential equations -- Analytic technique: separation of variables -- Qualitative technique: slope fields -- Numerical techniques: Euler's method -- Existence and uniqueness of solutions -- Equilibria and the phase line -- Bifurcations -- Linear differential equations -- Changing variables -- Labs for chapter 1 -- 2 First order systems -- Modeling via systems -- The geometry of systems -- Analytic methods for special systems -- Euler's method for systems -- The Lorenz equations -- Labs for chapter 2 -- 3 Linear systems -- Properties of linear systems and linearity principle -- Straight-line solutions -- Phase planes for linear systems with Eigenvalues -- Complex Eigenvalues -- Special cases: repeated and Eigenvalues -- Second-order linear equations -- The trace-determinant plane -- Linear systems in three dimensions -- 4 Forcing and resonance -- Forced harmonic oscillators -- Sinusoidal forcing -- Undamped forcing and resonance -- Amplitude and phase of the steady state -- The Tacoma Narrows Brodge.".
catalog description "5 Nonlinear systems -- Equilibrium point analysis -- Qualitative analysis -- Hamiltonian systems -- Dissipative systems -- Nonlinear systems in three dimensions -- Periodic forcing of nonlinear systems and chaos -- Labs for chapter 5 -- 6 Laplace Transformes -- Laplace Transforms -- Discontinuous functions -- Second-order equations -- Delta functions and impulse forcing -- Convolutions -- The qualitative theory of Laplace Transforms -- Labs for chapter 6 -- 7 Numerical methods -- Numerical Error in Euler's Method -- Improving Euler's method -- The Runge-Kutta method -- The effects of finite arithmetic -- Labs for chapter 7 -- 8 Discrete dynamical systems -- the discrete logistic equation -- Fixed points and periodic points -- Bifurcations -- Chaos -- Chaos in the Lorenz system -- Labs for chapter 8.".
catalog description "System requirements for accompanying CD-ROM: Machintosh platform: Macintosh G3 or better; Mac OS 8.6 or higher; 64 MB RAM; 16-bit sound card and speakers; 65,000-color (High Color/16 bit) video display card; 12-speed CD-ROM drive.".
catalog description "System requirements for accompanying CD-ROM: Windows platform: 333Mhz Pentium processor or equivalent; 64 MB RAM 16-bit sound card and speakers; 65,000-color (High Color/16 bit) video display card; 12-speed CD-ROM drive; Windows 98, ME, 2000 or XP.".
catalog extent "xx, 786 p. :".
catalog identifier "0534385141".
catalog issued "2002".
catalog issued "c2002.".
catalog language "eng".
catalog publisher "[South Melbourne, Australia] ; Pacific Grove, CA : Brooks/Cole Thomson Learning,".
catalog requires "System requirements for accompanying CD-ROM: Machintosh platform: Macintosh G3 or better; Mac OS 8.6 or higher; 64 MB RAM; 16-bit sound card and speakers; 65,000-color (High Color/16 bit) video display card; 12-speed CD-ROM drive.".
catalog requires "System requirements for accompanying CD-ROM: Windows platform: 333Mhz Pentium processor or equivalent; 64 MB RAM 16-bit sound card and speakers; 65,000-color (High Color/16 bit) video display card; 12-speed CD-ROM drive; Windows 98, ME, 2000 or XP.".
catalog subject "515/.35 21".
catalog subject "Differential equations.".
catalog subject "QA371 .B63 2002".
catalog tableOfContents "1 First-order differential equations -- Modeling via differential equations -- Analytic technique: separation of variables -- Qualitative technique: slope fields -- Numerical techniques: Euler's method -- Existence and uniqueness of solutions -- Equilibria and the phase line -- Bifurcations -- Linear differential equations -- Changing variables -- Labs for chapter 1 -- 2 First order systems -- Modeling via systems -- The geometry of systems -- Analytic methods for special systems -- Euler's method for systems -- The Lorenz equations -- Labs for chapter 2 -- 3 Linear systems -- Properties of linear systems and linearity principle -- Straight-line solutions -- Phase planes for linear systems with Eigenvalues -- Complex Eigenvalues -- Special cases: repeated and Eigenvalues -- Second-order linear equations -- The trace-determinant plane -- Linear systems in three dimensions -- 4 Forcing and resonance -- Forced harmonic oscillators -- Sinusoidal forcing -- Undamped forcing and resonance -- Amplitude and phase of the steady state -- The Tacoma Narrows Brodge.".
catalog tableOfContents "5 Nonlinear systems -- Equilibrium point analysis -- Qualitative analysis -- Hamiltonian systems -- Dissipative systems -- Nonlinear systems in three dimensions -- Periodic forcing of nonlinear systems and chaos -- Labs for chapter 5 -- 6 Laplace Transformes -- Laplace Transforms -- Discontinuous functions -- Second-order equations -- Delta functions and impulse forcing -- Convolutions -- The qualitative theory of Laplace Transforms -- Labs for chapter 6 -- 7 Numerical methods -- Numerical Error in Euler's Method -- Improving Euler's method -- The Runge-Kutta method -- The effects of finite arithmetic -- Labs for chapter 7 -- 8 Discrete dynamical systems -- the discrete logistic equation -- Fixed points and periodic points -- Bifurcations -- Chaos -- Chaos in the Lorenz system -- Labs for chapter 8.".
catalog title "Differential equations / Paul Blanchard, Robert L. Devaney, Glen R. Hall.".
catalog type "CD-ROMs. local".
catalog type "text".