Differential Equations and Dynamical Systems

This book PDF is perfect for those who love Mathematics genre, written by Lawrence Perko and published by Springer Science & Business Media which was released on 06 December 2012 with total hardcover pages 411. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Differential Equations and Dynamical Systems books below.

Differential Equations and Dynamical Systems
Author : Lawrence Perko
File Size : 48,9 Mb
Publisher : Springer Science & Business Media
Language : English
Release Date : 06 December 2012
ISBN : 9781468403923
Pages : 411 pages
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Differential Equations and Dynamical Systems by Lawrence Perko Book PDF Summary

Although this systematic study of autonomous systems begins with a thorough treatment of linear systems, the main emphasis is on local and global behavior of nonlinear systems. The main purpose of this revised edition is to introduce students to the qualitative and geometric theory of ordinary differential equations as well as serving as a reference book for mathematicians researching dynamical systems. Readers will find that, except for certain topics of current mathematical research, such as the number of limit cycles and the nature of attracting sets of dynamical systems, the global qualitative theory of a nonlinear dynamical system leads to an understanding of the solution set of the nonlinear system to rival that which we have of linear flows.

Differential 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

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Differential Equations and Dynamical Systems

Although this systematic study of autonomous systems begins with a thorough treatment of linear systems, the main emphasis is on local and global behavior of nonlinear systems. The main purpose of this revised edition is to introduce students to the qualitative and geometric theory of ordinary differential equations as well

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Download or read online Differential Equations and Dynamical Systems written by Lawrence Perko, published by Unknown which was released on 1991. Get Differential Equations and Dynamical Systems Books now! Available in PDF, ePub and Kindle.

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Bridging the gap between elementary courses and the research literature in this field, the book covers the basic concepts necessary to study differential equations. Stability theory is developed, starting with linearisation methods going back to Lyapunov and Poincaré, before moving on to the global direct method. The Poincaré-Lindstedt method

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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,

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Ordinary Differential Equations and Dynamical Systems

This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a

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