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Thermodynamics
VijaySekhar Chellaboina, Sergey G. Nersesov, Wassim M. Haddad, et al.
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Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein
Beschreibung
This book places thermodynamics on a system-theoretic foundation so as to harmonize it with classical mechanics. Using the highest standards of exposition and rigor, the authors develop a novel formulation of thermodynamics that can be viewed as a moderate-sized system theory as compared to statistical thermodynamics. This middle-ground theory involves deterministic large-scale dynamical system models that bridge the gap between classical and statistical thermodynamics.
The authors' theory is motivated by the fact that a discipline as cardinal as thermodynamics--entrusted with some of the most perplexing secrets of our universe--demands far more than physical mathematics as its underpinning. Even though many great physicists, such as Archimedes, Newton, and Lagrange, have humbled us with their mathematically seamless eurekas over the centuries, this book suggests that a great many physicists and engineers who have developed the theory of thermodynamics seem to have forgotten that mathematics, when used rigorously, is the irrefutable pathway to truth.
This book uses system theoretic ideas to bring coherence, clarity, and precision to an extremely important and poorly understood classical area of science.
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Lyapunov function, Continuous function, Heat equation, Second law of thermodynamics, Minkowski space, Reagent, Compact space, Inequality (mathematics), Partial differential equation, Summation, Equipartition theorem, Inverse function theorem, Thermodynamic system, Conservation law, Bijection, Energy, Smoothness, Space (mathematics), Available energy (particle collision), Thermodynamics, Life, Axiom, Variable (mathematics), Supply (economics), Reactive system, Thermodynamic equilibrium, Classical mechanics, Mixture, Law of mass action, Principle of least action, Uncertainty, Chemical substance, Weak solution, Quantity, Square matrix, Diffeomorphism, Literature, Support (mathematics), Reaction rate, Energy supply, Diathermal wall, Theorem, Lie group, Ball (mathematics), Dynamical system, Inner product space, Balance equation, Thermal equilibrium, Branches of science, Elementary reaction, Topological group, World view, Chemical reaction, Queueing theory, Topology, Probability, First law of thermodynamics, Heat flux, Differentiable function, Distribution (mathematics), Pseudogroup, Temperature, Sobolev space, Statistical physics, Limit cycle, Positive feedback, Concept, Radon–Nikodym theorem, Combination, Fluid dynamics