Differential Equations Dynamical Systems and an Introduction to Chaos

This text is about the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It is an update of one of Academic Press's most successful mathematics texts ever published, which has become the standard textbook for graduate courses in this area. The authors are tops in the field of advanced mathematics. Steve Smale is a Field's Medalist, which equates to being a Nobel prize winner in mathematics. Bob Devaney has authored several leading books in this subject area. Linear algebra prerequisites toned down from first edition Inclusion of analysis of examples of chaotic systems, including Lorenz, Rosssler, and Shilnikov systems Bifurcation theory included throughout.

Produk Detail:

  • Author : Morris W. Hirsch
  • Publisher : Academic Press
  • Pages : 417 pages
  • ISBN : 0123497035
  • Rating : 4/5 from 2 reviews
CLICK HERE TO GET THIS BOOKDifferential Equations Dynamical Systems and an Introduction to Chaos

Differential Equations, Dynamical Systems, and an Introduction to Chaos

Differential Equations, Dynamical Systems, and an Introduction to Chaos
  • Author : Morris W. Hirsch,Stephen Smale,Robert L. Devaney
  • Publisher : Academic Press
  • Release : 14 April 2021
GET THIS BOOKDifferential Equations, Dynamical Systems, and an Introduction to Chaos

This text is about the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It is an update of one of Academic Press's most successful mathematics texts ever published, which has become the standard textbook for graduate courses in this area. The authors are tops in the field of advanced mathematics. Steve Smale is a Field's Medalist, which equates to being a Nobel prize winner in mathematics. Bob Devaney has authored

Differential Equations, Dynamical Systems, and an Introduction to Chaos

Differential Equations, Dynamical Systems, and an Introduction to Chaos
  • Author : Morris W. Hirsch,Stephen Smale,Robert L. Devaney
  • Publisher : Academic Press
  • Release : 14 April 2021
GET THIS BOOKDifferential Equations, Dynamical Systems, and an Introduction to Chaos

Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of

Chaos

Chaos
  • Author : Kathleen Alligood,Tim Sauer,J.A. Yorke
  • Publisher : Springer
  • Release : 06 December 2012
GET THIS BOOKChaos

BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives the motion of the planets and moons of the solar system resulted from a single fundamental source: the gravitational attraction of the hodies. He demonstrated that the ohserved motion of

Differential Equations, Dynamical Systems, and an Introduction to Chaos

Differential Equations, Dynamical Systems, and an Introduction to Chaos
  • Author : Morris W. Hirsch,Stephen Smale,Robert L. Devaney
  • Publisher : Unknown Publisher
  • Release : 14 April 2021
GET THIS BOOKDifferential Equations, Dynamical Systems, and an Introduction to Chaos

"Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of

Differential Equations, Dynamical Systems, and an Introduction to Chaos

Differential Equations, Dynamical Systems, and an Introduction to Chaos
  • Author : Morris W. Hirsch,Stephen Smale,Robert L. Devaney
  • Publisher : Academic Press
  • Release : 14 April 2021
GET THIS BOOKDifferential Equations, Dynamical Systems, and an Introduction to Chaos

This text is about the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It is an update of one of Academic Press's most successful mathematics texts ever published, which has become the standard textbook for graduate courses in this area. The authors are tops in the field of advanced mathematics. Steve Smale is a Field's Medalist, which equates to being a Nobel prize winner in mathematics. Bob Devaney has authored

An Introduction To Chaotic Dynamical Systems

An Introduction To Chaotic Dynamical Systems
  • Author : Robert Devaney
  • Publisher : CRC Press
  • Release : 09 March 2018
GET THIS BOOKAn Introduction To Chaotic Dynamical Systems

The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot

Introduction to Differential Equations with Dynamical Systems

Introduction to Differential Equations with Dynamical Systems
  • Author : Stephen L. Campbell,Richard Haberman
  • Publisher : Princeton University Press
  • Release : 14 October 2011
GET THIS BOOKIntroduction to Differential Equations with Dynamical Systems

Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during a first course on differential equations. And, while covering all the standard parts of the subject, the book emphasizes linear constant coefficient equations and applications, including the topics essential to engineering students. Stephen Campbell and

An Introduction to Dynamical Systems and Chaos

An Introduction to Dynamical Systems and Chaos
  • Author : G.C. Layek
  • Publisher : Springer
  • Release : 01 December 2015
GET THIS BOOKAn Introduction to Dynamical Systems and Chaos

The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1–8 are

Differential Equations, Dynamical Systems, and Linear Algebra

Differential Equations, Dynamical Systems, and Linear Algebra
  • Author : Morris W. Hirsch,Robert L. Devaney,Stephen Smale
  • Publisher : Academic Press
  • Release : 28 June 1974
GET THIS BOOKDifferential Equations, Dynamical Systems, and Linear Algebra

This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.

Differential Equations and Dynamical Systems

Differential Equations and Dynamical Systems
  • Author : Lawrence Perko
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKDifferential Equations and Dynamical Systems

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence bf interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mat!!ematics (TAM). The development of new courses is a natural consequence of a high level of excitement oil the

Ordinary Differential Equations and Dynamical Systems

Ordinary Differential Equations and Dynamical Systems
  • Author : Gerald Teschl
  • Publisher : American Mathematical Soc.
  • Release : 30 August 2012
GET THIS BOOKOrdinary Differential Equations and Dynamical Systems

This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Introduction to Applied Nonlinear Dynamical Systems and Chaos
  • Author : Stephen Wiggins
  • Publisher : Springer Science & Business Media
  • Release : 18 April 2006
GET THIS BOOKIntroduction to Applied Nonlinear Dynamical Systems and Chaos

This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik

Differential Dynamical Systems, Revised Edition

Differential Dynamical Systems, Revised Edition
  • Author : James D. Meiss
  • Publisher : SIAM
  • Release : 24 January 2017
GET THIS BOOKDifferential Dynamical Systems, Revised Edition

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

Nonlinear Differential Equations and Dynamical Systems

Nonlinear Differential Equations and Dynamical Systems
  • Author : Ferdinand Verhulst
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKNonlinear Differential Equations and Dynamical Systems

For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos, this text is ideal. Its excellent pedagogical style typically consists of an insightful overview followed by theorems, illustrative examples, and exercises.