Differential Equations: Theory and Applications

David Betounes (Autor)

Buch | Softcover

626 Seiten

2014 | 2nd ed. 2010
Springer-Verlag New York Inc.
978-1-4899-8265-0 (ISBN)

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This book was written as a comprehensive introduction to the theory of ordinary di?erential equations with a focus on mechanics and dynamical systems as time-honored and important applications of this theory. H- torically, these were the applications that spurred the development of the mathematical theory and in hindsight they are still the best applications for illustrating the concepts, ideas, and impact of the theory. While the book is intended for traditional graduate students in mat- matics, thematerial is organized sothatthebookcan alsobeusedin awider setting within today’s modern university and society (see “Ways to Use the Book” below). In particular, it is hoped that interdisciplinary programs with courses that combine students in mathematics, physics, engineering, and other sciences can bene?t from using this text. Working professionals in any of these ?elds should be able to pro?t too by study of this text. An important, but optional component of the book (based on the - structor’s or reader’s preferences) is its computer material. The book is one of the few graduate di?erential equations texts that use the computer to enhance the concepts and theory normally taught to ?rst- and second-year graduate students in mathematics. I have made every attempt to blend - gether the traditional theoretical material on di?erential equations and the new, exciting techniques a?orded by computer algebra systems (CAS), like Maple, Mathematica, or Matlab. The electronic material for mastering and enjoying the computer component of this book is on Springer’s website.

Techniques, Concepts and Examples.- Existence and Uniqueness: The Flow Map.- Linear Systems.- Linearization #x0026; Transformation.- Stability Theory.- Integrable Systems.- Newtonian Mechanics.- Hamiltonian Systems.- Elementary Analysis.- Lipschitz Maps and Linearization.- Linear Algebra.- Electronic Contents.

Erscheint lt. Verlag	28.11.2014
Zusatzinfo	XIV, 626 p.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-4899-8265-5 / 1489982655
ISBN-13	978-1-4899-8265-0 / 9781489982650
Zustand	Neuware