Referential Mechanics

Referential Mechanics PDF

Author: Joseph Almog

Publisher: Oxford University Press, USA

Published: 2014-03

Total Pages: 175

ISBN-13: 0199314373

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This volume is focused on understanding a key idea in modern semantics-direct reference-and its integration into a general semantics for natural language. In the first three chapters, foundational analyses from three philosophers -Saul Kripke, David Kaplan and Keith Donnellan-are dissected in detail. The differences between their respective ideas lead to varying consequences in the philosophy of mind, the metaphysics of necessity, and the epistemological idea of a priori knowledge. In the last chapter, two central puzzles said to threaten direct reference are raised. One is Frege's puzzle about judgments of cognitive significance and informativeness. This puzzle is analyzed and is shown to be the opposite of a threat; informative identities are, in effect, a consequence of the new cognitive insights behind direct reference. The second puzzle, the Partee-Kaplan, is a threat: how to unify the referential semantics of nouns with the seemingly non referential semantics of denoting phrases? The volume criticizes the concept of a unifying methodology-assimilating the referential nouns to the complex denoting phrases by way of (set theoretic) "ontological sublimation"-as proposed by Montague-and launches an orthogonal unification methodology generalizing direct reference to the common nouns anchoring the denoting phrases.

Fundamentals of Continuum Mechanics

Fundamentals of Continuum Mechanics PDF

Author: Stephen Bechtel

Publisher: Academic Press

Published: 2014-12-02

Total Pages: 347

ISBN-13: 0123948347

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Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, applied mathematicians, and materials scientists. This book emphasizes the role of thermodynamics in constitutive modeling, with detailed application to nonlinear elastic solids, viscous fluids, and modern smart materials. While emphasizing advanced material modeling, special attention is also devoted to developing novel theories for incompressible and thermally expanding materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study. Uses direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physics Covers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structures Offers a unique approach to modeling incompressibility and thermal expansion, based on the authors’ own research

The Elements of Continuum Mechanics

The Elements of Continuum Mechanics PDF

Author: C. Truesdell

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 284

ISBN-13: 3642649769

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The lectures here reported were first delivered in August and September, 1965, for the Department of Mechanical and Aerospace Engi neering at syracuse University, New York under the sponsorship of the New York State Science and Technology Foundation. Lectures 1-6 and 22-23 are revised from a version prepared by Professor Kin N. Tong on the basis of a transcription of the lectures, kindly provided by Professor S. Eskinazi. The remainder of th~ text has been written out afresh from my own notes. Much of the same ground was covered in my lectures to the Austra lian Mathematical Society's Summer Research Institute at Melbourne in January and February, 1966, and for the parts affected the text conforms to this latter presentation. I am grateful to Professors C.-C. Wang and K. N. Tong for criticism of the manuscript. These lectures constitute a course, not a treatise. Names are attached to theorems justly, to the best of my knowledge, but are not intended to replace a history of the subject or references to the sources.

An Introduction to the Mechanics of Fluids

An Introduction to the Mechanics of Fluids PDF

Author: C. Truesdell

Publisher: Springer Science & Business Media

Published: 2000

Total Pages: 296

ISBN-13: 9780817640149

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A compact, moderately general book which encompasses many fluid models of current interest...The book is written very clearly and contains a large number of exercises and their solutions. The level of mathematics is that commonly taught to undergraduates in mathematics departments.. —Mathematical Reviews The book should be useful for graduates and researchers not only in applied mathematics and mechanical engineering but also in advanced materials science and technology...Each public scientific library as well as hydrodynamics hand libraries should own this timeless book...Everyone who decides to buy this book can be sure to have bought a classic of science and the heritage of an outstanding scientist. —Silikáty All applied mathematicians, mechanical engineers, aerospace engineers, and engineering mechanics graduates and researchers will find the book an essential reading resource for fluids. —Simulation News Europe

Computational Contact Mechanics

Computational Contact Mechanics PDF

Author: Peter Wriggers

Publisher: Springer Science & Business Media

Published: 2008-04-01

Total Pages: 252

ISBN-13: 3211772987

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Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.

Lagrangian Mechanics

Lagrangian Mechanics PDF

Author: Anh Le Van

Publisher: John Wiley & Sons

Published: 2019-06-18

Total Pages: 326

ISBN-13: 1786304368

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Lagrangian Mechanics explains the subtleties of analytical mechanics and its applications in rigid body mechanics. The authors demonstrate the primordial role of parameterization, which conditions the equations and thus the information obtained; the essential notions of virtual kinematics, such as the virtual derivative and the dependence of the virtual quantities with respect to a reference frame; and the key concept of perfect joints and their intrinsic character, namely the invariance of the fields of compatible virtual velocities with respect to the parameterization. Throughout the book, any demonstrated results are stated with the respective hypotheses, clearly indicating the applicability conditions for the results to be ready for use. Numerous examples accompany the text, facilitating the understanding of the calculation mechanisms. The book is mainly intended for Bachelor's, Master's or engineering students who are interested in an in-depth study of analytical mechanics and its applications.