Thermodynamics (eBook)
200 Seiten
Princeton University Press (Verlag)
978-1-4008-2697-1 (ISBN)
Wassim M. Haddad is Professor of Aerospace Engineering at the Georgia Institute of Technology. VijaySekhar Chellaboina is Associate Professor in the Department of Mechanical, Aerospace, and Biomedical Engineering at the University of Tennessee, Knoxville. Sergey G. Nersesov is a Ph.D. student in aerospace engineering at Georgia Institute of Technology.
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.
Wassim M. Haddad is Professor of Aerospace Engineering at the Georgia Institute of Technology. VijaySekhar Chellaboina is Associate Professor in the Department of Mechanical, Aerospace, and Biomedical Engineering at the University of Tennessee, Knoxville. Sergey G. Nersesov is a Ph.D. student in aerospace engineering at Georgia Institute of Technology.
Erscheint lt. Verlag | 10.1.2009 |
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Reihe/Serie | Princeton Series in Applied Mathematics | Princeton Series in Applied Mathematics |
Verlagsort | Princeton |
Sprache | englisch |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Thermodynamik |
Technik | |
Schlagworte | Addition • Adiabatic process • Almost surely • Analysis • Applied mathematics • Arbitrarily large • Arthur Eddington • asymmetry • Available energy (particle collision) • Avogadro constant • Axiom • balance equation • Ball (mathematics) • Banach space • bijection • Boltzmann's entropy formula • Branches of science • Brillouin Scattering • Caloric theory • Carnot Cycle • Cauchy Sequence • chain rule • chemical reaction • chemical substance • classical mechanics • Classical physics • Clausius (crater) • combination • Compact space • Concept • conservation law • Conservation of Energy • consistency • Constant of integration • constitutive equation • continuous function • Continuous function (set theory) • Contradiction • Controllability • Control Theory • convex set • corollary • Cryogenics • Deformation (mechanics) • Dense set • Derivative • Diathermal wall • diffeomorphism • Differentiable function • diffusion process • Dimension • Dimension (vector space) • Dissipation • Distribution (mathematics) • dot product • Dynamical system • ecosystem • Elementary Reaction • Emergence • Energy • Energy Density • energy functional • energy level • Energy Storage • Energy Supply • Entropy • Equation • Equations of motion • Equilibrium Point • Equilibrium Thermodynamics • Equipartition theorem • existential quantification • Explanation • first law of thermodynamics • Fluid Dynamics • Gas constant • hamiltonian mechanics • Harmonic oscillator • Heat • heat capacity • Heat death of the universe • heat equation • Heat flux • heat transfer • Hermitian matrix • Homeomorphism • hydrogen atom • ideal gas • Identity matrix • Inequality (mathematics) • Infimum and supremum • Infinitesimal • Initial Condition • Inner product space • Instant • Interconnection • internal energy • Invariance principle (linguistics) • inverse function theorem • Irreversible process • Isolated system • kinetic theory of gases • Law of Mass Action • Law of superposition • laws of thermodynamics • Lie group • Life • Limit cycle • Linear dynamical system • Linearization • Lipschitz continuity • Literature • Local boundedness • Loschmidt's Paradox • Lyapunov function • Lyapunov stability • Macroscopic Scale • Mathematical Optimization • Mathematics • Microstate • Microstate (statistical mechanics) • Minkowski space • Mixture • Molecule • Natural number • Neighbourhood (mathematics) • Newton's laws of motion • non-equilibrium thermodynamics • nonlinear system • Operator norm • Parabolic partial differential equation • Parameter • Parameter (computer programming) • partial differential equation • Perpetuum • phenomenon • positive feedback • Power balance • principle of least action • Probability • Proposition • Pseudogroup • Quantity • Queueing Theory • Radon–Nikodym theorem • Reaction Rate • reactive system • reagent • refrigerator • result • Reversible process (thermodynamics) • school of thought • second law of thermodynamics • Semigroup • Semi-infinite • Smoothness • Sobolev Space • Space (mathematics) • Square matrix • State-space Representation • state variable • stationary process • Statistical Mechanics • Statistical Physics • Steady state • step function • Strongly connected component • Subset • Summation • Supply (economics) • Support (mathematics) • Systems Theory • Temperature • Theorem • theoretical physics • theory • Thermal Conduction • thermal equilibrium • Thermodynamic Equilibrium • Thermodynamic process • thermodynamics • Thermodynamic state • Thermodynamic system • Thermodynamic Temperature • Time evolution • topological group • Topology • Triangular Matrix • Uncertainty • uniqueness • Variable (mathematics) • weak solution • World View • Zeroth law of thermodynamics |
ISBN-10 | 1-4008-2697-7 / 1400826977 |
ISBN-13 | 978-1-4008-2697-1 / 9781400826971 |
Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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