Dynamical Systems VII
V. I. Arnol'd
Reading Time
at 250 WPM5h 44m
The average reader, reading at a speed of 250 WPM, would take 5h 44m to read Dynamical Systems VII.
Personalise your estimate by entering your reading speed below
Test my reading speedEnter speed in words per minute
12
days at 30 min/day
344
total minutes
Dynamical Systems VII
by V. I. Arnol'd, S. P. Novikov, A. G. Reyman
Published
2010
Publisher
Springer Berlin / Heidelberg
Pages
344
ISBN-13
9783642057380
Description
This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used throughout the survey allows for a clear and unified exposition of the earlier work on nonholonomic problems. There is a detailed discussion of the dynamical properties of the nonholonomic geodesic flow and of various related concepts, such as nonholonomic exponential mapping, nonholonomic sphere, etc. Other surveys treat various aspects of integrable Hamiltonian systems, with an emphasis on Lie-algebraic constructions. Among the topics covered are: the generalized Calogero-Moser systems based on root systems of simple Lie algebras, a ge- neral r-matrix scheme for constructing integrable systems and Lax pairs, links with finite-gap integration theory, topologicalaspects of integrable systems, integrable tops, etc. One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Lie-algebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics.
Subjects
Differential Equations and Dynamical Systems
Invitation to dynamical systems
Six lectures on dynamical systems
Dynamical Systems
Dynamical Systems
Quantum dynamical systems
Frequently Asked Questions
How many pages are in Dynamical Systems VII?
This edition of Dynamical Systems VII has approximately 344 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Dynamical Systems VII?
For most readers, Dynamical Systems VII typically takes between 7h 10m and 4h 47m to complete. This is based on the book's length of approximately 86,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 5h 44m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 12 days • Estimated word count: 86,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Dynamical Systems VII?
The estimated word count for Dynamical Systems VII is approximately 86,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Dynamical Systems VII?
Dynamical Systems VII was written by V. I. Arnol'd, S. P. Novikov, A. G. Reyman.
When was Dynamical Systems VII published?
The publication date for this specific edition is 2010. The original work may have been published on a different date.