1# Library to Find Best eBook for Read
Author : Michael Brin
Release : 2004-08-16
Genre : Mathematics
Kind : eBook
Book Rating : 736/5 ( reviews)
Book Synopsis Modern Dynamical Systems and Applications by : Michael Brin
Download or read book Modern Dynamical Systems and Applications written by Michael Brin. This book was released on 2004-08-16. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.
Author : Anatole Katok
Release : 1995
Genre : Mathematics
Kind : eBook
Book Rating : 577/5 ( reviews)
Book Synopsis Introduction to the Modern Theory of Dynamical Systems by : Anatole Katok
Download or read book Introduction to the Modern Theory of Dynamical Systems written by Anatole Katok. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
Author : Richard Brown
Release : 2018
Genre : Mathematics
Kind : eBook
Book Rating : 289/5 ( reviews)
Book Synopsis A Modern Introduction to Dynamical Systems by : Richard Brown
Download or read book A Modern Introduction to Dynamical Systems written by Richard Brown. This book was released on 2018. Available in PDF, EPUB and Kindle. Book excerpt: A senior-level, proof-based undergraduate text in the modern theory of dynamical systems that is abstract enough to satisfy the needs of a pure mathematics audience, yet application heavy and accessible enough to merit good use as an introductory text for non-math majors.
Author : Stephen Lynch
Release : 2007-09-20
Genre : Mathematics
Kind : eBook
Book Rating : 861/5 ( reviews)
Book Synopsis Dynamical Systems with Applications using Mathematica® by : Stephen Lynch
Download or read book Dynamical Systems with Applications using Mathematica® written by Stephen Lynch. This book was released on 2007-09-20. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.
Author : James D. Meiss
Release : 2017-01-24
Genre : Mathematics
Kind : eBook
Book Rating : 64X/5 ( reviews)
Book Synopsis Differential Dynamical Systems, Revised Edition by : James D. Meiss
Download or read book Differential Dynamical Systems, Revised Edition written by James D. Meiss. This book was released on 2017-01-24. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.? Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts?flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple?, Mathematica?, and MATLAB? software to give students practice with computation applied to dynamical systems problems.
