Krause, Ulrich / Nesemann, Tim
Differenzengleichungen und diskrete dynamische Systeme
Eine Einführung in Theorie und Anwendungen
[Difference Equations and Discrete Dynamical Systems]
Series:De Gruyter Studium
- Contains lots of examples, exercises and MATLAB-codes
- For students and teachers of mathematics, computer science, science, engineering and economics
Aims and Scope
In its second expanded and updated edition, this textbook covers the theory and applications of dynamical processes whose time evolution is not continuous, but rather is modeled in discrete time steps through difference equations. These discrete models play an increasingly important role - reinforced by the use of computers - in science, engineering and economics.
This new edition also covers special applications in financial mathematics. Following a basic introduction with examples, the first part provides a thorough survey of linear systems and their stability properties.The second part deals with nonlinear systems, especially their stability, and includes an excursus on chaos and fractals and an introduction into the more recent theory of positive dynamical systems along with applications in biology and economics.
- xii, 254 pages
- Language:
- German
- Type of Publication:
- Textbook
- Keywords:
- Difference Equation; Discreet System; Dynamic System; Financial Mathematics
- Readership:
- Students, Lecturers in Mathematics, Financial Mathematicians; Academic Libraries
- Subjects
- Mathematics > Analysis
- Mathematics > Applied Mathematics
- Social Sciences, Economics > Political Economy > Mathematical Methods, Economic Information
- Mathematics > Analysis
- Mathematics > Applied Mathematics
- Social Sciences, Economics > Political Economy > Mathematical Methods, Economic Information
MARC record
MARC record for eBookRezensionen zur 1. Auflage:
"Neben der sehr klar dargestellten Theorie enthält das Buch viele Beispiele, Graphiken, Anwendungen, Aufgaben, Literaturhinweise und Computerprogramme in Turbo-Pascal und ist daher für Studierende sowohl der Mathematik als auch der Natur-, Ingenieur- und Wirtschaftswissenschaften bestens geeignet."
Lothar Berg in: Zentralblatt 0918.39001
"Das Buch empfiehlt sich als schlanker, angenehm geschriebener Zugang zu wesentlichen Bereichen aktueller Systemdynamik und durch „harte‟, viel klassisches Material integrierende Methodik."
K. Jakocs in: Jahresbericht der Deutschen Mathematiker-Vereinigung 3/2001