differential equations and dynamical systems texts in applied mathematics

Download Book Differential Equations And Dynamical Systems Texts In Applied Mathematics in PDF format. You can Read Online Differential Equations And Dynamical Systems Texts In Applied Mathematics here in PDF, EPUB, Mobi or Docx formats.

Differential Equations And Dynamical Systems

Author : Lawrence Perko
ISBN : 9781461300038
Genre : Mathematics
File Size : 56. 86 MB
Format : PDF, ePub, Docs
Download : 251
Read : 1183

Download Now


This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations.

Differential Equations And Dynamical Systems

Author : Lawrence Perko
ISBN : 0387947787
Genre : Differentiable dynamical systems
File Size : 40. 78 MB
Format : PDF, Docs
Download : 625
Read : 807

Download Now


This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations.

Differential Equations A Dynamical Systems Approach

Author : John H. Hubbard
ISBN : 9781461209379
Genre : Mathematics
File Size : 31. 89 MB
Format : PDF, Mobi
Download : 381
Read : 384

Download Now


This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.

Ordinary Differential Equations

Author : John H. Hubbard
ISBN : 3540972862
Genre :
File Size : 85. 48 MB
Format : PDF, ePub
Download : 914
Read : 690

Download Now



Differential Equations Dynamical Systems And An Introduction To Chaos

Author : Morris W. Hirsch
ISBN : 9780123497031
Genre : Mathematics
File Size : 79. 62 MB
Format : PDF, Docs
Download : 559
Read : 343

Download Now


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.

Differentialgleichungen Und Ihre Anwendungen

Author : Martin Braun
ISBN : 9783642973413
Genre : Mathematics
File Size : 89. 5 MB
Format : PDF, ePub
Download : 293
Read : 827

Download Now


Dieses richtungsweisende Lehrbuch für die Anwendung der Mathematik in anderen Wissenschaftszweigen gibt eine Einführung in die Theorie der gewöhnlichen Differentialgleichungen. Fortran und APL-Programme geben den Studenten die Möglichkeit, verschiedene numerische Näherungsverfahren an ihrem PC selbst durchzurechnen. Aus den Besprechungen: "Die Darstellung ist überall mathematisch streng und zudem ungemein anregend. Abgesehen von manchen historischen Bemerkungen ... tragen dazu die vielen mit ausführlichem Hintergrund sehr eingehend entwickelten praktischen Anwendungen bei. ... Besondere Aufmerksamkeit wird der physikalisch und technisch so wichtigen Frage nach Stabilität von Lösungen eines Systems von Differentialgleichungen gewidmet. Das Buch ist wegen seiner geringen Voraussetzungen und vorzüglichen Didaktik schon für alle Studenten des 3. Semesters geeignet; seine eminent praktische Haltung empfiehlt es aber auch für alle Physiker, die mit Differentialgleichungen und ihren Anwendungen umzugehen haben." #Physikalische Blätter#

Ordinary Differential Equations With Applications

Author : Carmen Chicone
ISBN : 9780387307695
Genre : Mathematics
File Size : 46. 99 MB
Format : PDF, Mobi
Download : 661
Read : 242

Download Now


Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.

Differential Equations Dynamical Systems And An Introduction To Chaos

Author : Morris W. Hirsch
ISBN : 9780123497031
Genre : Mathematics
File Size : 71. 18 MB
Format : PDF
Download : 131
Read : 743

Download Now


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.

Partielle Differentialgleichungen Und Numerische Methoden

Author : Stig Larsson
ISBN : 9783540274223
Genre : Mathematics
File Size : 39. 94 MB
Format : PDF, ePub
Download : 602
Read : 1283

Download Now


Das Buch ist für Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Für jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthält der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem für gewöhnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabhängigen Problemen ein Kapitel zum Anfangswertproblem für gewöhnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in Analysis und Funktionalanalysis voraus. Das erforderliche Grundwissen über lineare Funktionalanalysis und Sobolev-Räume wird im Anhang im Überblick besprochen.

Nonlinear Differential Equations And Dynamical Systems

Author : Ferdinand Verhulst
ISBN : 9783642614538
Genre : Mathematics
File Size : 50. 66 MB
Format : PDF, ePub, Mobi
Download : 749
Read : 1015

Download Now


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.

Top Download:

Best Books