A01=Sergey G. Nersesov
A01=VijaySekhar Chellaboina
A01=Wassim M. Haddad
Author_Sergey G. Nersesov
Author_VijaySekhar Chellaboina
Author_Wassim M. Haddad
Available energy (particle collision)
Axiom
Balance equation
Ball (mathematics)
Bijection
Branches of science
Category=PHH
Chemical reaction
Chemical substance
Classical mechanics
Combination
Compact space
Concept
Conservation law
Continuous function
Diathermal wall
Diffeomorphism
Differentiable function
Distribution (mathematics)
Dynamical system
Elementary reaction
Energy
Energy supply
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Equipartition theorem
First law of thermodynamics
Fluid dynamics
Heat equation
Heat flux
Inequality (mathematics)
Inner product space
Inverse function theorem
Law of mass action
Lie group
Life
Limit cycle
Literature
Lyapunov function
Minkowski space
Mixture
Partial differential equation
Positive feedback
Principle of least action
Probability
Pseudogroup
Quantity
Queueing theory
Radon-Nikodym theorem
Reaction rate
Reactive system
Reagent
Second law of thermodynamics
Smoothness
Sobolev space
Space (mathematics)
Square matrix
Statistical physics
Summation
Supply (economics)
Support (mathematics)
Temperature
Theorem
Thermal equilibrium
Thermodynamic equilibrium
Thermodynamic system
Thermodynamics
Topological group
Topology
Uncertainty
Variable (mathematics)
Weak solution
World view
Product details
- ISBN 9780691123271
- Weight: 454g
- Dimensions: 152 x 235mm
- Publication Date: 25 Jul 2005
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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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.
