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Author : William Edward O'Toole
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (158 download)
Download or read book Continuous Flows on the Plane and on the Torus written by William Edward O'Toole and published by . This book was released on 1975 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Beck
Publisher : Springer Science & Business Media
ISBN 13 : 3642655483
Total Pages : 474 pages
Book Rating : 4.6/5 (426 download)
Download or read book Continuous Flows in the Plane written by A. Beck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "qualitative theory". The most notable early work was that of Poincare and Bendixson, regarding stability of solutions of differential equations, and the subject has grown around this nucleus. It has developed now to a point where it is fully capable of standing on its own feet as a branch of Mathematics studied for its intrinsic interest and beauty, and since the publication of Topological Dynamics by Gottschalk and Hedlund, it has been the subject of widespread study in its own right, as well as for the light it sheds on differential equations. The Bibliography for Topological Dyna mics by Gottschalk contains 1634 entries in the 1969 edition, and progress in the field since then has been even more prodigious. The study of dynamical systems is an idealization of the physical studies bearing such names as aerodynamics, hydrodynamics, electrodynamics, etc. We begin with some space (call it X) and we imagine in this space some sort of idealized particles which change position as time passes.
Author : Anatole Beck
Publisher :
ISBN 13 : 9780387061573
Total Pages : 0 pages
Book Rating : 4.0/5 (615 download)
Download or read book Continuous Flows in the Plane written by Anatole Beck and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Chillingworth
Publisher : Springer
ISBN 13 : 3540366628
Total Pages : 184 pages
Book Rating : 4.5/5 (43 download)
Download or read book Proceedings of the Symposium on Differential Equations and Dynamical Systems written by David Chillingworth and published by Springer. This book was released on 2006-11-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James A. Yorke
Publisher : Springer
ISBN 13 : 3540363068
Total Pages : 282 pages
Book Rating : 4.5/5 (43 download)
Download or read book Seminar on Differential Equations and Dynamical Systems written by James A. Yorke and published by Springer. This book was released on 2006-11-15 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Dold
Publisher : Springer
ISBN 13 : 1489945814
Total Pages : 82 pages
Book Rating : 4.4/5 (899 download)
Download or read book An Index and Other Useful Information written by A. Dold and published by Springer. This book was released on 2013-12-11 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Geon Ho Choe
Publisher : Springer Science & Business Media
ISBN 13 : 3540273050
Total Pages : 468 pages
Book Rating : 4.5/5 (42 download)
Download or read book Computational Ergodic Theory written by Geon Ho Choe and published by Springer Science & Business Media. This book was released on 2005-12-08 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, against numerical output using some of the ideas in the book. One last remark: The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory. It will help students to gain an understanding of the digital technology that has shaped the modern information society.
Author : John M. Alongi
Publisher : American Mathematical Soc.
ISBN 13 : 082184234X
Total Pages : 233 pages
Book Rating : 4.8/5 (218 download)
Download or read book Recurrence and Topology written by John M. Alongi and published by American Mathematical Soc.. This book was released on 2007 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the behavior of general solutions. In Recurrence and Topology, Alongi and Nelson provide a modern understanding of the subject, using the language and tools of dynamical systems and topology. Recurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points.
Author :
Publisher :
ISBN 13 :
Total Pages : 794 pages
Book Rating : 4.E/5 ( download)
Download or read book The Michigan Mathematical Journal written by and published by . This book was released on 1978 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Igor Nikolaev
Publisher : Springer
ISBN 13 : 354048759X
Total Pages : 305 pages
Book Rating : 4.5/5 (44 download)
Download or read book Flows on 2-dimensional Manifolds written by Igor Nikolaev and published by Springer. This book was released on 2006-11-14 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.
Author : M. Hazewinkel
Publisher : Springer
ISBN 13 : 1489937935
Total Pages : 952 pages
Book Rating : 4.4/5 (899 download)
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-11-11 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 0387225897
Total Pages : 376 pages
Book Rating : 4.3/5 (872 download)
Download or read book Topological Methods in Hydrodynamics written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.
Author : Philip Hartman
Publisher : SIAM
ISBN 13 : 0898715105
Total Pages : 643 pages
Book Rating : 4.8/5 (987 download)
Download or read book Ordinary Differential Equations written by Philip Hartman and published by SIAM. This book was released on 2002-01-01 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the fundamentals of the theory of ordinary differential equations.
Author : Richard J. Brown
Publisher : Oxford University Press
ISBN 13 : 0191061018
Total Pages : 399 pages
Book Rating : 4.1/5 (91 download)
Download or read book A Modern Introduction to Dynamical Systems written by Richard J. Brown and published by Oxford University Press. This book was released on 2018-06-21 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a high-level introduction to the modern theory of dynamical systems; an analysis-based, pure mathematics course textbook in the basic tools, techniques, theory and development of both the abstract and the practical notions of mathematical modelling, using both discrete and continuous concepts and examples comprising what may be called the modern theory of dynamics. Prerequisite knowledge is restricted to calculus, linear algebra and basic differential equations, and all higher-level analysis, geometry and algebra is introduced as needed within the text. Following this text from start to finish will provide the careful reader with the tools, vocabulary and conceptual foundation necessary to continue in further self-study and begin to explore current areas of active research in dynamical systems.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 940151237X
Total Pages : 506 pages
Book Rating : 4.4/5 (15 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MA THEMA TICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author : Martin C. Gutzwiller
Publisher : Springer Science & Business Media
ISBN 13 : 1461209838
Total Pages : 445 pages
Book Rating : 4.4/5 (612 download)
Download or read book Chaos in Classical and Quantum Mechanics written by Martin C. Gutzwiller and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Luis Manuel Braga da Costa Campos
Publisher : CRC Press
ISBN 13 : 1420071203
Total Pages : 1029 pages
Book Rating : 4.4/5 (2 download)
Download or read book Complex Analysis with Applications to Flows and Fields written by Luis Manuel Braga da Costa Campos and published by CRC Press. This book was released on 2010-09-03 with total page 1029 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis with Applications to Flows and Fields presents the theory of functions of a complex variable, from the complex plane to the calculus of residues to power series to conformal mapping. The book explores numerous physical and engineering applications concerning potential flows, the gravity field, electro- and magnetostatics, steady he
