eBook

Thermodynamics

Haddad, Wassim M, Nersesov, Sergey G, Chellaboina, VijaySekhar

2009,2005

Overview

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.

• Publisher: Princeton University Press
• Subject: Available energy (particle collision) / Axiom / Balance equation / Ball (mathematics) / Bijection / Branches of science / Chemical reaction / Chemical substance / Chemistry & Chemical Engineering / Classical mechanics / Combination / Compact space / Concept / Conservation law / Continuous function / Diathermal wall / Diffeomorphism / Differentiable dynamical systems / Differentiable function / Distribution (mathematics) / Dynamical system / Elementary reaction / Energy / Energy supply / Engineering Principles / Equipartition theorem / First law of thermodynamics / Fluid dynamics / General Engineering & Project Administration / General Topics for Engineers / Heat equation / Heat flux / Inequality (mathematics) / Inner product space / Inverse function theorem / Law of mass action / Lie group / Life / Limit cycle / Literature / Lyapunov function / Mathematics / Minkowski space / Mixture / Partial differential equation / Physical Chemistry / Physics / Positive feedback / Principle of least action / Probability / Pseudogroup / Quantity / Queueing theory / Radon–Nikodym theorem / Reaction rate / Reactive system / Reagent / SCIENCE / SCIENCE / Mechanics / Thermodynamics / 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 / Thermodynamics -- Mathematics / Topological group / Topology / Uncertainty / Variable (mathematics) / Weak solution / World view
• ISBN: 0691123276, 9780691123271, 1400826977, 9781400826971