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Mathematical Foundations Of Thermodynamics
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Book Synopsis Mathematical Foundations of Thermodynamics by : R. Giles
Download or read book Mathematical Foundations of Thermodynamics written by R. Giles and published by Elsevier. This book was released on 2016-01-22 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations of Thermodynamics details the core concepts of the mathematical principles employed in thermodynamics. The book discusses the topics in a way that physical meanings are assigned to the theoretical terms. The coverage of the text includes the mechanical systems and adiabatic processes; topological considerations; and equilibrium states and potentials. The book also covers Galilean thermodynamics; symmetry in thermodynamics; and special relativistic thermodynamics. The book will be of great interest to practitioners and researchers of disciplines that deal with thermodynamics, such as physics, engineering, and chemistry.
Book Synopsis A First Course in the Mathematical Foundations of Thermodynamics by : D.R. Owen
Download or read book A First Course in the Mathematical Foundations of Thermodynamics written by D.R. Owen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in the past thirty years on the foundations of thermodynamics has led not only to a better understanding of the early developments of the subject but also to formulations of the First and Second Laws that permit both a rigorous analysis of the consequences of these laws and a substantial broadening of the class of systems to which the laws can fruitfully be applied. Moreover, modem formulations of the laws of thermodynamics have now achieved logically parallel forms at a level accessible to under graduate students in science and engineering who have completed the standard calculus sequence and who wish to understand the role which mathematics can play in scientific inquiry. My goal in writing this book is to make some of the modem develop ments in thermodyamics available to readers with the background and orientation just mentioned and to present this material in the form of a text suitable for a one-semester junior-level course. Most of this presentation is taken from notes that I assembled while teaching such a course on two occasions. I found that, aside from a brief review of line integrals and exact differentials in two dimensions and a short discussion of infima and suprema of sets of real numbers, juniors (and even some mature sophomores) had sufficient mathematical background to handle the subject matter. Many of the students whom I taught had very limited experience with formal and rigorous mathematical exposition.
Book Synopsis Mathematical Foundations of Thermodynamics by :
Download or read book Mathematical Foundations of Thermodynamics written by and published by . This book was released on 1977 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Foundations of Thermodynamics by : Robin Giles
Download or read book Mathematical Foundations of Thermodynamics written by Robin Giles and published by . This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Foundations of Statistical Mechanics by : Aleksandr I?Akovlevich Khinchin
Download or read book Mathematical Foundations of Statistical Mechanics written by Aleksandr I?Akovlevich Khinchin and published by Courier Corporation. This book was released on 1949-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.
Book Synopsis Mathematical Foundations of Statistical Mechanics by : A. Ya. Khinchin
Download or read book Mathematical Foundations of Statistical Mechanics written by A. Ya. Khinchin and published by Courier Corporation. This book was released on 2013-01-17 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Reduction to the Problem of the Theory of Probability; and more.
Book Synopsis A First Course in the Mathematical Foundations of Thermodynamics by : David R. Owen
Download or read book A First Course in the Mathematical Foundations of Thermodynamics written by David R. Owen and published by . This book was released on 1984 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Foundations of Mechanics and Thermodynamics by : W. Noll
Download or read book The Foundations of Mechanics and Thermodynamics written by W. Noll and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the -isms and -acies of 1933-1946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr.
Book Synopsis Lectures on the Mechanical Foundations of Thermodynamics by : Michele Campisi
Download or read book Lectures on the Mechanical Foundations of Thermodynamics written by Michele Campisi and published by Springer. This book was released on 2024-05-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866–1871). Despite the later contribution by Helmholtz, Boltzmann himself (1884–1887), Gibbs, P. Hertz, and Einstein, the mechanical approach remained almost unknown to the modern reader, in favour of the celebrated combinatorial approach, developed by Boltzmann himself during his probabilistic turn (1876–1884). The brief constitutes an ideal continuation of a graduate course of classical mechanics and requires knowledge of basic calculus in many dimensions (including differential forms), thermodynamics, and probability theory, besides Hamiltonian mechanics. The cornerstone of the whole presentation is the ergodic hypothesis. Special attention is devoted to Massieu potentials (the Legendre transforms of the entropy) which are most natural in statistical mechanics and also allow for a more direct treatment of the topic of ensemble equivalence. In this second edition, a chapter is added that addresses the long-debated question of how the second law of thermodynamics can be reconciled with mechanics, by using modern methods of non-equilibrium statistical mechanics.
Book Synopsis Mathematical Foundations of Quantum Mechanics by : John von Neumann
Download or read book Mathematical Foundations of Quantum Mechanics written by John von Neumann and published by Princeton University Press. This book was released on 1955 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books
Book Synopsis The Mathematical Theory of Thermodynamic Limits by : Isabelle Catto
Download or read book The Mathematical Theory of Thermodynamic Limits written by Isabelle Catto and published by Oxford University Press. This book was released on 1998 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thermodynamic limit is a mathematical technique for modeling crystals or other macroscopic objects by considering them as infinite periodic arrays of molecules. The technique allows models in solid state physics to be derived directly from models in quantum chemistry. This book presents new results, many previously unpublished, for a large class of models and provides a survey of the mathematics of thermodynamic limit problems. The authors both work closely with Fields Medal-winner Pierre-Louis Lion, and the book will be a valuable tool for applied mathematicians and mathematical physicists studying nonlinear partial differential equations.
Author :Clifford A. Truesdell Publisher :Springer Science & Business Media ISBN 13 :3642810772 Total Pages :169 pages Book Rating :4.6/5 (428 download)
Book Synopsis The Concepts and Logic of Classical Thermodynamics as a Theory of Heat Engines by : Clifford A. Truesdell
Download or read book The Concepts and Logic of Classical Thermodynamics as a Theory of Heat Engines written by Clifford A. Truesdell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mon but n'a jamais be de m'occuper des ces matieres comme physicien, mais seulement comme /ogicien ... F. REECH, 1856 I do not think it possible to write the history of a science until that science itself shall have been understood, thanks to a clear, explicit, and decent logical structure. The exuberance of dim, involute, and undisciplined his torical essays upon classical thermodynamics reflects the confusion of the theory itself. Thermodynamics, despite its long history, has never had the benefit of a magisterial synthesis like that which EULER gave to hydro dynamics in 1757 or that which MAXWELL gave to electromagnetism in 1873; the expositions in the works of discovery in thermodynamics stand a pole apart from the pellucid directness of the notes in which CAUCHY presented his creation and development of the theory of elasticity from 1822 to 1845. Thermodynamics was born in obscurity and disorder, not to say confusion, and there the common presentations of it have remained. With this tractate I aim to provide a simple logical structure for the classical thermodynamics of homogeneous fluid bodies. Like any logical structure, it is only one of many possible ones. I think it is as simple and pretty as can be.
Author :N.D. Hari Dass Publisher :SRI Books, an imprint of the Simplicity Research Institute ISBN 13 : Total Pages :377 pages Book Rating :4./5 ( download)
Book Synopsis Essentials of Thermodynamics by : N.D. Hari Dass
Download or read book Essentials of Thermodynamics written by N.D. Hari Dass and published by SRI Books, an imprint of the Simplicity Research Institute. This book was released on 2021-02-21 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essentials of Thermodynamics offers a fresh perspective on classical thermodynamics and its explanation of natural phenomena. It combines fundamental principles with applications to offer an integrated resource for students, teachers and experts alike. The essence of classic texts has been distilled to give a balanced and in-depth treatment, including a detailed history of ideas which explains how thermodynamics evolved without knowledge of the underlying atomic structure of matter. The principles are illustrated by a vast range of applications, such as osmotic pressure, how solids melt and liquids boil, the incredible race to reach absolute zero, and the modern theme of the renormalization group. Topics are handled using a variety of techniques, which helps readers see how concepts such as entropy and free energy can be applied to many situations, and in diverse ways. The book has a large number of solved examples and problems in each chapter, as well as a carefully selected guide to further reading. The treatment of traditional topics like the three laws of thermodynamics, Carnot cycles, Clapeyron equation, phase equilibria, and dilute solutions is considerably more detailed than usual. For example, the chapter on Carnot cycles discusses exotic cases like the photon cycle along with more practical ones like the Otto, Diesel and Rankine cycles. There is a chapter on critical phenomena that is modern and yet highly pedagogical and contains a first principles calculation of the critical exponents of Van der Waals systems. Topics like entropy constants, surface thermodynamics, and superconducting phase transitions are explained in depth while maintaining accessibility for different readers.
Book Synopsis Statistical Thermodynamics by : John W. Daily
Download or read book Statistical Thermodynamics written by John W. Daily and published by Cambridge University Press. This book was released on 2018-12-20 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clearly connects macroscopic and microscopic thermodynamics and explains non-equilibrium behavior in kinetic theory and chemical kinetics.
Download or read book Block by Block written by Robert Hanlon and published by Oxford University Press, USA. This book was released on 2020 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the heart of many fields - physics, chemistry, engineering - lies thermodynamics. While this science plays a critical role in determining the boundary between what is and is not possible in the natural world, it occurs to many as an indecipherable black box, thus making the subject a challenge to learn. Two obstacles contribute to this situation, the first being the disconnect between the fundamental theories and the underlying physics and the second being the confusing concepts and terminologies involved with the theories. While one needn't confront either of these two obstacles to successfully use thermodynamics to solve real problems, overcoming both provides access to a greater intuitive sense of the problems and more confidence, more strength, and more creativity in solving them. This book offers an original perspective on thermodynamic science and history based on the three approaches of a practicing engineer, academician, and historian. The book synthesises and gathers into one accessible volume a strategic range of foundational topics involving the atomic theory, energy, entropy, and the laws of thermodynamics.
Book Synopsis Mathematical Foundations of Classical Statistical Mechanics by : D.Ya. Petrina
Download or read book Mathematical Foundations of Classical Statistical Mechanics written by D.Ya. Petrina and published by CRC Press. This book was released on 2002-04-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov equations for the sequences of correlation functions in the thermodynamic limit. This is the first detailed investigation of the thermodynamic limit for non-equilibrium systems and of the states of infinite systems in the cases of both canonical and grand canonical ensembles, for which the thermodynamic equivalence is proved. A comprehensive survey of results is also included; it concerns the properties of correlation functions for infinite systems and the corresponding equations. For this new edition, the authors have made changes to reflect the development of theory in the last ten years. They have also simplified certain sections, presenting them more systematically, and greatly increased the number of references. The book is aimed at theoretical physicists and mathematicians and will also be of use to students and postgraduate students in the field.
Book Synopsis Understanding Thermodynamics by : H.C. Van Ness
Download or read book Understanding Thermodynamics written by H.C. Van Ness and published by Courier Corporation. This book was released on 2012-06-08 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear treatment of systems and first and second laws of thermodynamics features informal language, vivid and lively examples, and fresh perspectives. Excellent supplement for undergraduate science or engineering class.
