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Differential equations : linear, nonlinear, ordinary, partial / by A.C. King, J. Billingham, and S.R. Otto.

By: Contributor(s): Material type: TextTextCambridge ; Cambridge University Press, 2003Description: xi, 541 pages : illustrations ; 26 cmISBN:
  • 9780521670456 (hbk.) :
Subject(s): LOC classification:
  • QA371 .K52 2003
Contents:
Part one: Linear equations -- 1. Variable coefficient, second order, linear, ordinary differential equations -- 2. Legendre functions -- 3. Bessel functions -- 4. Boundary value problems, Green's functions and Sturm-Liouville theory -- 5. Fourier series and the fourier transform -- 6. Laplace transforms -- 7. Classification, properties and complex variable methods for second order partial differential equations -- Part two: Nonlinear equations and advanced techniques -- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations -- 9. Nonlinear ordinary differential equations: Phase plane methods -- 10. Group theoretical methods -- 11. Asymptotic methods: Basic ideas -- 12. Asymptotic methods: Differential equations -- 13. Stability, instability and bifurcations -- 14. Time-optimal control in the phase plane -- 15. Introduction to chaotic systems.
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Item type Current library Home library Call number Copy number Status Date due Barcode
Books Books Chinhoyi University of Technology Libraries Chinhoyi University of Technology Libraries QA 371 KIN (Browse shelf(Opens below)) c.037595 Available BK00458111
Books Books Chinhoyi University of Technology Libraries Chinhoyi University of Technology Libraries QA 371 KIN (Browse shelf(Opens below)) c.037596 Available BK00458108
Books Books Chinhoyi University of Technology Libraries Chinhoyi University of Technology Libraries QA 371 KIN (Browse shelf(Opens below)) c.037597 Available BK00458107
Books Books Chinhoyi University of Technology Libraries Chinhoyi University of Technology Libraries QA 371 KIN (Browse shelf(Opens below)) c.037598 Available BK00458104
Books Books Chinhoyi University of Technology Libraries Chinhoyi University of Technology Libraries QA 371 KIN (Browse shelf(Opens below)) c.037599 Available BK00458101

Includes bibliographical references (p. 534-535) and index.

Part one: Linear equations -- 1. Variable coefficient, second order, linear, ordinary differential equations -- 2. Legendre functions -- 3. Bessel functions -- 4. Boundary value problems, Green's functions and Sturm-Liouville theory -- 5. Fourier series and the fourier transform -- 6. Laplace transforms -- 7. Classification, properties and complex variable methods for second order partial differential equations -- Part two: Nonlinear equations and advanced techniques -- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations -- 9. Nonlinear ordinary differential equations: Phase plane methods -- 10. Group theoretical methods -- 11. Asymptotic methods: Basic ideas -- 12. Asymptotic methods: Differential equations -- 13. Stability, instability and bifurcations -- 14. Time-optimal control in the phase plane -- 15. Introduction to chaotic systems.

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