Description
Introduction
I Dynamics
Deterministic dynamical systems
Linear and integrable systems
Stability and long-time behavior
Ergodic theory
Numerical Algorithms
II Probability
Probability Theory
Discrete-time stochastic processes
Continuous-time stochastic processes
Information entropy
III Probability in dynamical evolution
Time evolution of broadened initial states
Stochastic processes generated by observables
Stochastic dynamical systems
IV Probability in scientific reasoning
Interpretations of probability
Parameter estimation and hypothesis testing
Bayesian inferences
V Probability in physics
Equilibrium statistical mechanics
Non-equilibrium statistical mechanics
Foundational issues of statistical mechanics
Quantum Mechanics
A Classical Mechanics
B Thermostatics
C Fluid dynamicsD Some proofs and explicit computations
E Mathematical tools, conventions and notation
References
Index
Author: Peter Müller
Publisher: Springer
Published: 11/20/2021
Pages: 543
Binding Type: Hardcover
Weight: 2.10lbs
Size: 9.21h x 6.14w x 1.19d
ISBN13: 9783030884857
ISBN10: 3030884856
BISAC Categories:
- Science | Earth Sciences | Meteorology & Climatology
- Mathematics | Applied
- Mathematics | Probability & Statistics | General
About the Author
Peter Müller studied physics and mathematics at the University of Hamburg. He received his Diplom degree (Physics) in 1970, his Ph.D. (Geophysics) in 1974, and his habilitation (Geophysics) in 1981. He worked at Harvard University as a research associate before moving to the University of Hawaii in 1982, where he was a professor of Oceanography in the School of Ocean and Earth Science and Technology until his retirement in 2013. He is now a professor emeritus. His research interests cover a broad range of topics in oceanography and climate research, especially wave dynamics, stochastic (climate) models, and foundations of complex system theories. He has published two books and numerous articles. Peter Müller was the organizer of the 'Aha Huliko'a Hawaiian Winter Workshop series and for ten years the chief editor of the Journal of Physical Oceanography..
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