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This catalogue examines the interwar period in its key artistic manifestations. It encompasses painting, photography, film, sculpture, architecture, fashion and decorative arts. The book examines classicism between the wars in Europe.
Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.
resonances. Nonlinear resonances cause divergences in conventional perturbation expansions. This occurs because nonlinear resonances cause a topological change locally in the structure of the phase space and simple perturbation theory is not adequate to deal with such topological changes. In Sect. (2.3), we introduce the concept of integrability. A sys tem is integrable if it has as many global constants of the motion as degrees of freedom. The connection between global symmetries and global constants of motion was first proven for dynamical systems by Noether [Noether 1918]. We will give a simple derivation of Noether's theorem in Sect. (2.3). As we shall see in more detail in Chapter 5, are whole classes of systems which are now known to be inte there grable due to methods developed for soliton physics. In Sect. (2.3), we illustrate these methods for the simple three-body Toda lattice. It is usually impossible to tell if a system is integrable or not just by looking at the equations of motion. The Poincare surface of section provides a very useful numerical tool for testing for integrability and will be used throughout the remainder of this book. We will illustrate the use of the Poincare surface of section for classic model of Henon and Heiles [Henon and Heiles 1964].
Explores the confusion among physicists at the beginning of the 20th century when experimental findings kept not fitting into their mechanical view of the universe, the theoretical speculations and experimental innovations they responded with, and the new science that emerged. The mathematical details are set apart in boxes to allow nontechnical readers to engage the flow of the narrative uninterrupted. Paper edition (unseen), $29.95. Annotation copyright by Book News, Inc., Portland, OR
Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.
This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.
In the summer of 2008, nearly fifty thousand people traveled to Nevada’s Black Rock Desert to participate in the countercultural arts event Burning Man. Founded on a commitment to expression and community, the annual weeklong festival presents unique challenges to its organizers. Over four years Katherine K. Chen regularly participated in organizing efforts to safely and successfully create a temporary community in the middle of the desert under the hot August sun. Enabling Creative Chaos tracks how a small, underfunded group of organizers transformed into an unconventional corporation with a ten-million-dollar budget and two thousand volunteers. Over the years, Burning Man’s organizers have experimented with different management models; learned how to recruit, motivate, and retain volunteers; and developed strategies to handle regulatory agencies and respond to media coverage. This remarkable evolution, Chen reveals, offers important lessons for managers in any organization, particularly in uncertain times.
A clear introduction to chaotic phenomena for undergraduate students in science, engineering, and mathematics.
This book provides a coherent introduction to the manifestations of chaos in atoms and molecules.
The second edition of a highly successful book on nonlinear waves, solitons and chaos.