Knauf A (2003)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2003
Publisher: Springer
Edited Volumes: The Mathematical Aspects of Quantum Maps
Series: Lecture Notes in Physics
City/Town: Heidelberg
Book Volume: 618
Pages Range: 1-24
Isaac Newton had one insight that he considered to be so fundamental that he kept it secret: “It is useful to solve differential equations.”1
The notion of dynamical systems grew out of the theory of differential equations. It was realized by Henri Poincaré that equations like the one of the celestial three body problem could not be solved analytically. Thus it was necessary to supplement the quantitative approximate solutions by qualitative methods in order to understand the long time behaviour of the solutions of differential equations.
APA:
Knauf, A. (2003). Introduction to Dynamical Systems. In Mirko Degli Esposti, Sandro Graffi (Eds.), The Mathematical Aspects of Quantum Maps. (pp. 1-24). Heidelberg: Springer.
MLA:
Knauf, Andreas. "Introduction to Dynamical Systems." The Mathematical Aspects of Quantum Maps. Ed. Mirko Degli Esposti, Sandro Graffi, Heidelberg: Springer, 2003. 1-24.
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