Stable and Random Motions in Dynamical Systems (eBook)

With Special Emphasis on Celestial Mechanics (AM-77)

Jurgen Moser (Autor)

eBook Download: PDF

2016 | 1. Auflage
216 Seiten
Princeton University Press (Verlag)
978-1-4008-8269-4 (ISBN)

Infos

MoserJurgen:

Jürgen Moser, who died in 1999, was one of the most influential mathematicians of his generation, making important contributions in dynamical systems and nonlinear analysis. Among other posts, he was variously Director of the New York University Courant Institute, Director of the Research Institute for Mathematics at Switzerland's Federal Institute of Technology, and President of the International Mathematical Union. He was awarded the 1994/95 Wolf Prize.Jürgen Moser, who died in 1999, was one of the most influential mathematicians of his generation, making important contributions in dynamical systems and nonlinear analysis. Among other posts, he was variously Director of the New York University Courant Institute, Director of the Research Institute for Mathematics at Switzerland's Federal Institute of Technology, and President of the International Mathematical Union. He was awarded the 1994/95 Wolf Prize.

Produkt-Details

• Erscheint lt. Verlag: 2.3.2016
• Reihe/Serie: Princeton Landmarks in Mathematics and Physics
• Reihe/Serie: Princeton Landmarks in Mathematics and Physics
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Schlagworte: Accuracy and precision • Action-angle coordinates • analytic function • Bounded Variation • Calculation • chaos theory • coefficient • commutator • Constant term • Continuous embedding • continuous function • coordinate system • Countable set • degrees of freedom • Degrees of freedom (statistics) • Derivative • Determinant • Differentiable function • differential equation • Dimension (vector space) • discrete group • Divergent series • Divisor • Duffing Equation • Eigenfunction • Eigenvalues and Eigenvectors • Elliptic orbit • energy level • Equation • Ergodicity • ergodic theory • Euclidean space • Even and odd functions • existence theorem • existential quantification • First-order partial differential equation • Forcing function (differential equations) • Fréchet derivative • Gravitational constant • hamiltonian mechanics • Hamiltonian System • Hessian Matrix • Heteroclinic orbit • Homoclinic orbit • hyperbolic partial differential equation • hyperbolic set • Initial Value Problem • Integer • integrable system • Integration by parts • Invariant manifold • Inverse function • Invertible matrix • Iteration • Jordan Curve Theorem • Klein Bottle • Lie algebra • Linearization • Linear map • Linear subspace • Maxima and minima • Monotonic Function • Newton's method • nonlinear system • Normal bundle • normal mode • Open set • Parameter • partial differential equation • Periodic function • periodic point • Perturbation theory (quantum mechanics) • Phase space • Poincaré conjecture • polynomial • Probability Theory • Proportionality (mathematics) • Quasiperiodic motion • Rate of Convergence • Rational dependence • Regular element • Root of unity • Series expansion • Sign (mathematics) • Smoothness • Special case • Stability Theory • Statistical Mechanics • Structural Stability • symbolic dynamics • Symmetric matrix • Tangent Space • Theorem • Three-body problem • uniqueness theorem • Unitary matrix • Variable (mathematics) • Variational Principle • Vector field • Zero of a function
• ISBN-10: 1-4008-8269-9 / 1400882699
• ISBN-13: 978-1-4008-8269-4 / 9781400882694