The Foundations Of Mechanics And Thermodynamics

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The Foundations of Mechanics and Thermodynamics

Author : W. Noll
Publisher : Springer Science & Business Media
ISBN 13 : 3642658172
Total Pages : 330 pages
Book Rating : 4.6/5 (426 download)

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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.

Lectures on the Mechanical Foundations of Thermodynamics

Author : Michele Campisi
Publisher :
ISBN 13 : 9783030871642
Total Pages : 0 pages
Book Rating : 4.8/5 (716 download)

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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 . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief 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 dimension (including differential forms), thermodynamics, 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.

The Mechanics and Thermodynamics of Continua

Author : Morton E. Gurtin
Publisher : Cambridge University Press
ISBN 13 : 1139482157
Total Pages : 721 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis The Mechanics and Thermodynamics of Continua by : Morton E. Gurtin

Download or read book The Mechanics and Thermodynamics of Continua written by Morton E. Gurtin and published by Cambridge University Press. This book was released on 2010-04-19 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.

Non-equilibrium Thermodynamics and Statistical Mechanics

Author : Phil Attard
Publisher : OUP Oxford
ISBN 13 : 019163977X
Total Pages : 480 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Non-equilibrium Thermodynamics and Statistical Mechanics by : Phil Attard

Download or read book Non-equilibrium Thermodynamics and Statistical Mechanics written by Phil Attard and published by OUP Oxford. This book was released on 2012-10-04 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: `Non-equilibrium Thermodynamics and Statistical Mechanics: Foundations and Applications' builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph. Uniquely, the book treats time-dependent systems by close analogy with their static counterparts, with most of the familiar results of equilibrium thermodynamics and statistical mechanics being generalized and applied to the non-equilibrium case. The book is notable for its unified treatment of thermodynamics, hydrodynamics, stochastic processes, and statistical mechanics, for its self-contained, coherent derivation of a variety of non-equilibrium theorems, and for its quantitative tests against experimental measurements and computer simulations. Systems that evolve in time are more common than static systems, and yet until recently they lacked any over-arching theory. 'Non-equilibrium Thermodynamics and Statistical Mechanics' is unique in its unified presentation of the theory of non-equilibrium systems, which has now reached the stage of quantitative experimental and computational verification. The novel perspective and deep understanding that this book brings offers the opportunity for new direction and growth in the study of time-dependent phenomena. 'Non-equilibrium Thermodynamics and Statistical Mechanics' is an invaluable reference manual for experts already working in the field. Research scientists from different disciplines will find the overview of time-dependent systems stimulating and thought-provoking. Lecturers in physics and chemistry will be excited by many fresh ideas and topics, insightful explanations, and new approaches. Graduate students will benefit from its lucid reasoning and its coherent approach, as well as from the chem12physof mathematical techniques, derivations, and computer algorithms.

An Introduction to Statistical Mechanics and Thermodynamics

Author : Robert H. Swendsen
Publisher : OUP Oxford
ISBN 13 : 0191627461
Total Pages : 422 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis An Introduction to Statistical Mechanics and Thermodynamics by : Robert H. Swendsen

Download or read book An Introduction to Statistical Mechanics and Thermodynamics written by Robert H. Swendsen and published by OUP Oxford. This book was released on 2012-03-01 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the two complementary aspects of thermal physics as an integrated theory of the properties of matter. Conceptual understanding is promoted by thorough development of basic concepts. In contrast to many texts, statistical mechanics, including discussion of the required probability theory, is presented first. This provides a statistical foundation for the concept of entropy, which is central to thermal physics. A unique feature of the book is the development of entropy based on Boltzmann's 1877 definition; this avoids contradictions or ad hoc corrections found in other texts. Detailed fundamentals provide a natural grounding for advanced topics, such as black-body radiation and quantum gases. An extensive set of problems (solutions are available for lecturers through the OUP website), many including explicit computations, advance the core content by probing essential concepts. The text is designed for a two-semester undergraduate course but can be adapted for one-semester courses emphasizing either aspect of thermal physics. It is also suitable for graduate study.

Elements of Continuum Mechanics and Thermodynamics

Author : Joanne L. Wegner
Publisher : Cambridge University Press
ISBN 13 : 1139478389
Total Pages : 279 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Elements of Continuum Mechanics and Thermodynamics by : Joanne L. Wegner

Download or read book Elements of Continuum Mechanics and Thermodynamics written by Joanne L. Wegner and published by Cambridge University Press. This book was released on 2009-04-13 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended to provide a modern and integrated treatment of the foundations and applications of continuum mechanics. There is a significant increase in interest in continuum mechanics because of its relevance to microscale phenomena. In addition to being tailored for advanced undergraduate students and including numerous examples and exercises, this text also features a chapter on continuum thermodynamics, including entropy production in Newtonian viscous fluid flow and thermoelasticity. Computer solutions and examples are emphasized through the use of the symbolic mathematical computing program Mathematica®.

Foundations of Statistical Mechanics

Author : O. Penrose
Publisher : Elsevier
ISBN 13 : 1483156486
Total Pages : 272 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Foundations of Statistical Mechanics by : O. Penrose

Download or read book Foundations of Statistical Mechanics written by O. Penrose and published by Elsevier. This book was released on 2016-09-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Natural Philosophy, Volume 22: Foundations of Statistical Mechanics: A Deductive Treatment presents the main approaches to the basic problems of statistical mechanics. This book examines the theory that provides explicit recognition to the limitations on one's powers of observation. Organized into six chapters, this volume begins with an overview of the main physical assumptions and their idealization in the form of postulates. This text then examines the consequences of these postulates that culminate in a derivation of the fundamental formula for calculating probabilities in terms of dynamic quantities. Other chapters provide a careful analysis of the significant notion of entropy, which shows the links between thermodynamics and statistical mechanics and also between communication theory and statistical mechanics. The final chapter deals with the thermodynamic concept of entropy. This book is intended to be suitable for students of theoretical physics. Probability theorists, statisticians, and philosophers will also find this book useful.

Thermodynamics

Author : Elias P. Gyftopoulos
Publisher : Courier Corporation
ISBN 13 : 0486135187
Total Pages : 802 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Thermodynamics by : Elias P. Gyftopoulos

Download or read book Thermodynamics written by Elias P. Gyftopoulos and published by Courier Corporation. This book was released on 2012-07-12 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed by two MIT professors, this authoritative text discusses basic concepts and applications in detail, emphasizing generality, definitions, and logical consistency. More than 300 solved problems cover realistic energy systems and processes.

The Mechanics and Thermodynamics of Continuous Media

Author : Miroslav Silhavy
Publisher : Springer Science & Business Media
ISBN 13 : 3662033895
Total Pages : 511 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Mechanics and Thermodynamics of Continuous Media by : Miroslav Silhavy

Download or read book The Mechanics and Thermodynamics of Continuous Media written by Miroslav Silhavy and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter

The Conceptual Foundations of the Statistical Approach in Mechanics

Author : Paul Ehrenfest
Publisher : Courier Corporation
ISBN 13 : 0486163148
Total Pages : 128 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Conceptual Foundations of the Statistical Approach in Mechanics by : Paul Ehrenfest

Download or read book The Conceptual Foundations of the Statistical Approach in Mechanics written by Paul Ehrenfest and published by Courier Corporation. This book was released on 2014-11-12 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic 1912 article reformulated the foundations of the statistical approach in mechanics. Largely still valid, the treatment covers older formulation of statistico-mechanical investigations, modern formulation of kineto-statistics of the gas model, and more. 1959 edition.

A First Course in Fluid Dynamics

Author : A. R. Paterson
Publisher : Cambridge University Press
ISBN 13 : 9780521274241
Total Pages : 544 pages
Book Rating : 4.2/5 (742 download)

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Book Synopsis A First Course in Fluid Dynamics by : A. R. Paterson

Download or read book A First Course in Fluid Dynamics written by A. R. Paterson and published by Cambridge University Press. This book was released on 1983-11-10 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the subject of fluid dynamics from the first principles.

Continuum Mechanics and Thermodynamics

Author : Ellad B. Tadmor
Publisher : Cambridge University Press
ISBN 13 : 1107008263
Total Pages : 373 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Continuum Mechanics and Thermodynamics by : Ellad B. Tadmor

Download or read book Continuum Mechanics and Thermodynamics written by Ellad B. Tadmor and published by Cambridge University Press. This book was released on 2012 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Statistical Mechanics

Author : James H. Luscombe
Publisher : CRC Press
ISBN 13 : 1000330214
Total Pages : 341 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Statistical Mechanics by : James H. Luscombe

Download or read book Statistical Mechanics written by James H. Luscombe and published by CRC Press. This book was released on 2021-01-09 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive, yet accessible, introduction to statistical mechanics. Crafted and class-tested over many years of teaching, it carefully guides advanced undergraduate and graduate students who are encountering statistical mechanics for the first time through this – sometimes – intimidating subject. The book provides a strong foundation in thermodynamics and the ensemble formalism of statistical mechanics. An introductory chapter on probability theory is included. Applications include degenerate Fermi systems, Bose-Einstein condensation, cavity radiation, phase transitions, and critical phenomena. The book concludes with a treatment of scaling theories and the renormalization group. In addition, it provides clear descriptions of how to understand the foundational mathematics and physics involved and includes exciting case studies of modern applications of the subject in physics and wider interdisciplinary areas. Key Features: Presents the subject in a clear and entertaining style which enables the author to take a sophisticated approach whilst remaining accessible Contains contents that have been carefully reviewed with a substantial panel to ensure that coverage is appropriate for a wide range of courses, worldwide Accompanied by volumes on thermodynamics and non-equilibrium statistical mechanics, which can be used in conjunction with this book, on courses which cover both thermodynamics and statistical mechanics

Thermodynamics and Statistical Mechanics

Author : Phil Attard
Publisher : Academic Press
ISBN 13 : 9780120663217
Total Pages : 444 pages
Book Rating : 4.6/5 (632 download)

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Book Synopsis Thermodynamics and Statistical Mechanics by : Phil Attard

Download or read book Thermodynamics and Statistical Mechanics written by Phil Attard and published by Academic Press. This book was released on 2002-07-24 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isolated systems and thermal equilibrium -- Various reservoirs -- Probability and the general formalism -- Classical statistical mechanics -- Ideal systems -- Interacting particles -- Diagrammatic and functional expansions -- Pair functions -- Functional and perturbation theory -- Inhomogeneous systems -- Coulomb systems -- Computer simulations.

Problems in Thermodynamics and Statistical Physics

Author : Peter T. Landsberg
Publisher : Courier Corporation
ISBN 13 : 0486780759
Total Pages : 593 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Problems in Thermodynamics and Statistical Physics by : Peter T. Landsberg

Download or read book Problems in Thermodynamics and Statistical Physics written by Peter T. Landsberg and published by Courier Corporation. This book was released on 2014-07-16 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well respected and widely used, this volume presents problems and full solutions related to a wide range of topics in thermodynamics, statistical physics, and statistical mechanics. The text is intended for instructors, undergraduates, and graduate students of mathematics, physics, chemistry, and engineering. Twenty-eight chapters, each prepared by an expert, proceed from simpler to more difficult subjects. Similarly, the early chapters are easier than the later ones, making the book ideal for independent study. Subjects begin with the laws of thermodynamics and statistical theory of information and of ensembles, advancing to the ideal classical gases of polyatomic molecules, non-electrolyte liquids and solutions, and surfaces. Subsequent chapters explore imperfect classical and quantum gas, phase transitions, cooperative phenomena, Green function methods, the plasma, transport in gases and metals, Nyquist's theorem and its generalizations, stochastic methods, and many other topics.

Thermodynamics and Statistical Mechanics

Author : Robert J. Hardy
Publisher : John Wiley & Sons
ISBN 13 : 1118501004
Total Pages : 538 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Thermodynamics and Statistical Mechanics by : Robert J. Hardy

Download or read book Thermodynamics and Statistical Mechanics written by Robert J. Hardy and published by John Wiley & Sons. This book was released on 2014-06-23 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamics and Statistical Mechanics Thermodynamics and Statistical Mechanics An Integrated Approach This textbook brings together the fundamentals of the macroscopic and microscopic aspects of thermal physics by presenting thermodynamics and statistical mechanics as complementary theories based on small numbers of postulates. The book is designed to give the instructor flexibility in structuring courses for advanced undergraduates and/or beginning graduate students and is written on the principle that a good text should also be a good reference. The presentation of thermodynamics follows the logic of Clausius and Kelvin while relating the concepts involved to familiar phenomena and the modern student’s knowledge of the atomic nature of matter. Another unique aspect of the book is the treatment of the mathematics involved. The essential mathematical concepts are briefly reviewed before using them, and the similarity of the mathematics to that employed in other fields of physics is emphasized. The text gives in-depth treatments of low-density gases, harmonic solids, magnetic and dielectric materials, phase transitions, and the concept of entropy. The microcanonical, canonical, and grand canonical ensembles of statistical mechanics are derived and used as the starting point for the analysis of fluctuations, blackbody radiation, the Maxwell distribution, Fermi-Dirac statistics, Bose-Einstein condensation, and the statistical basis of computer simulations.

Mathematical Foundations of Statistical Mechanics

Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
ISBN 13 : 9780486601472
Total Pages : 212 pages
Book Rating : 4.6/5 (14 download)

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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.