Theory and Experiment
By (author) Brian Davies
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Exploring Chaos by Brian Davies
Book DescriptionThis book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. The theory is developed using only elementary calculus and algebra, and includes dynamics of one-and two-dimensional maps, periodic orbits, stability and its quantification, chaotic behavior, and bifurcation theory of one-dimensional systems. There is an introduction to the theory of fractals, with an emphasis on the importance of scaling, and a concluding chapter on ordinary differential equations. The accompanying software, written in Java, is available online (see link below). The program enables students to carry out their own quantitative experiments on a variety of nonlinear systems, including the analysis of fixed points of compositions of maps, calculation of Fourier spectra and Lyapunov exponents, and box counting for two-dimensional maps. It also provides for visualizing orbits, final state and bifurcation diagrams, Fourier spectra and Lyapunov exponents, basins of attractions, three-dimensional orbits, Poincare sections, and return maps. Please visit http://www.maths.anu.edu.au/~briand/chaos/ for the integrated cross-platform software.
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Book DetailsISBN: 9780813341279
(229mm x 152mm x 15mm)
Imprint: Westview Press Inc
Publisher: The Perseus Books Group
Publish Date: 19-Sep-2003
Country of Publication: United States
Books By Author Brian Davies
Thomas Aquinas's Summa Contra Gentiles, Hardback (August 2016)
Presupposing no previous knowledge of Aquinas or of medieval theology and philosophy, Davies's accessible volume offers a detailed expository account and discussion of one of Aquinas's best known works, the Summa Contra Gentiles.
Thomas Aquinas's Summa Theologiae, Hardback (October 2014)» View all books by Brian Davies
This book is a detailed introduction to and discussion of Thomas Aquinas's best-known and most influential work: the Summa Theologiae. After a scholarly account of Aquinas's life, the book explores his purposes in writing the Summa Theologiae and provides a detailed analysis of each of its three parts.
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Author Biography - Brian Davies
Brian Davies is a Professor of Mathematics at the Australian National University in Canberra, ACT. His research interests include exactly integrable non-linear quantum systems, lattice statistical mechanics, non-linear dynamical systems and chaos, and the use of computers in teaching. He has been a visiting fellow at Oxford University, Bristol University, and the Free University (Berlin). He has published many articles in his field.
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