From ancient times, mathematics has developed side-by-side with physics; only in the last two hundred years they came apart as different branches of science. Extensive use of mathematics in other sciences, such as biology, chemistry, economics, pharmacology, environmental and social sciences is even more recent. Nowadays, knowledge of mathematical techniques is indispensable also for students and researchers in these fields. The series of textbooks?
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Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed towards researchers, where one of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory.
Its scope, depth and breath give it a feeling of a must read. The exercises per chapter run from simple and straightforward to extended research questions forming time-consuming open challenges for the interested reader. All in all a great text written in a very good style for which the authors deserve to be complemented. Anyone interested in the field of dynamical systems might like to have this book because of its organization and the ease of finding the often-used examples.
Summing Up: Recommended. Upper-division undergraduates through professionals. Sanford, Choice, Vol. The book is very good at bringing out the essence of each concept without unnecessary technical clutter. It should definitely find its way onto the shelves of the experts, but I also very much recommend it as an excellent supplementary text to a differential equations or dynamical systems course.
It can be successfully used by students, researchers and readers with a good background in differential equations, analysis and topology looking for a concise but informative modern reference on dynamical systems and chaos.
The theory of nonlinear dynamical systems enjoys a tremendous development since the s. It contains the mathematics of deterministic systems like planetary motion, population dynamics, economic development, and climate evolution. In chaotic systems this occurs in a significant way. Examples of chaos are met in weather and climate prediction, the evolution of bird influenza, but also in the planetary motion or in simple systems like two coupled pendula.
Another type of motion is called multi-periodic, that also occurs quite regularly; these phenomena often occur upon transition from order to chaos. Using both multi-periodicity and chaos we describe a coherent background of the Hopf-Landau-Lifschitz-Ruelle-Takens scenario for the onset of turbulence. One other theme of the book is the reconstruction of the dynamics from a long time series, which has led to early warning systems in chemical reactors.
Dynamical Systems and Chaos sketches the corresponding theory in a broad perspective, with a great number of examples illustrating the material throughout the text. Many of these, such as the Smale horseshoe, the Lorenz attractor, and the Logistic system, have been paradigmatic over the last half century. Henk Broer and Floris Takens, professors at the Institute for Mathematics and Computer Science of the University of Groningen, are leaders in the field of dynamical systems.
They have published a wealth of scientific papers and books in this area. If you know the book but cannot find it on AbeBooks, we can automatically search for it on your behalf as new inventory is added. If it is added to AbeBooks by one of our member booksellers, we will notify you! Items related to Dynamical Systems and Chaos Epsilon uitgaven. Broer, H. Dynamical Systems and Chaos Epsilon uitgaven.
Publisher: Epsilon Uitgaven , This specific ISBN edition is currently not available. View all copies of this ISBN edition:. Synopsis About this title Over the last four decades there has been extensive development in the theory of dynamical systems.
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Formatieve toetsing en feedback. N2 - The chapter describes practical ways for integrating formative assessment in regular physics lessons. Concept checks can provide much insight in students' conceptual understanding and can be quick a few minutes when using graphical response formats such as graphs and diagrams. Feedback can be immediate. A series of concept checks can actually be used to teach and practice skills in applying concepts such as force diagramming with immediate feedback "fast feedback series". AB - The chapter describes practical ways for integrating formative assessment in regular physics lessons. Formatieve toetsing en feedback Translated title of the contribution : Formative assessment and feedback.
ISBN 13: 9789050411097
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