It takes the average reader 6 hours and 19 minutes to read Introduction to the qualitative theory of dynamical systems on surfaces by S. Kh Aranson E. V. Zhuzhoma
Assuming a reading speed of 250 words per minute. Learn more
This book is an introduction to the qualitative theory of dynamical systems on manifolds of low dimension (on the circle and on surfaces). Along with classical results, it reflects the most significant achievements in this area obtained in recent times by Russian and foreign mathematicians whose work has not yet appeared in the monographic literature. The main stress here is put on global problems in the qualitative theory of flows on surfaces. Despite the fact that flows on surfaces have the same local structure as flows on the plane, they have many global properties intrinsic to multidimensional systems. This is connected mainly with the existence of nontrivial recurrent trajectories for such flows. The investigation of dynamical sytems on surfaces is therefore a natural stage in the transition to multidimensional dynamical systems. The reader of this book need by familiar only with basic courses indifferential equations and smooth manifolds. All the main definitions and concepts required for understanding the contents are given in the text. The results expounded can be used for investigating mathematical models of mechanical, physical, and other systems (billiards in polygons, the dynamics of a spinning top with nonholonomic constraints, the structure of liquid crystals, etc). The book should be useful not only to mathematicians in all areas, but also to specialists with a mathematical background who are studying dynamical processes: mechanical engineers, physicists, biologists, and so on.
Introduction to the qualitative theory of dynamical systems on surfaces by S. Kh Aranson E. V. Zhuzhoma is 368 pages long, and a total of 94,944 words.
This makes it 124% the length of the average book. It also has 116% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 38 minutes to read Introduction to the qualitative theory of dynamical systems on surfaces aloud.
Introduction to the qualitative theory of dynamical systems on surfaces is suitable for students ages 12 and up.
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