Set Theory and the Continuum Hypothesis

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Publisher : Courier Corporation
ISBN 13 : 0486469212
Total Pages : 196 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Set Theory and the Continuum Hypothesis by : Paul J. Cohen

Download or read book Set Theory and the Continuum Hypothesis written by Paul J. Cohen and published by Courier Corporation. This book was released on 2008-12-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.

An Expedition to Continuum Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 940077799X
Total Pages : 408 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis An Expedition to Continuum Theory by : Wolfgang H. Müller

Download or read book An Expedition to Continuum Theory written by Wolfgang H. Müller and published by Springer Science & Business Media. This book was released on 2014-01-18 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It includes the necessary applied mathematical framework of tensor algebra and tensor calculus, using an inductive approach particularly suited to beginners. It is geared toward undergraduate classes in continuum theory for engineers in general, and more specifically to courses in continuum mechanics. Students will gain a sound basic understanding of the subject as well as the ability to solve engineering problems by applying the general laws of nature in terms of the balances for mass, momentum, and energy in combination with material-specific relations in terms of constitutive equations, thus learning how to use the theory in practice for themselves. This is facilitated by numerous examples and problems provided throughout the text.

Continuum Theory

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Publisher : CRC Press
ISBN 13 : 1482277166
Total Pages : 349 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Continuum Theory by : Sam Nadler

Download or read book Continuum Theory written by Sam Nadler and published by CRC Press. This book was released on 2017-07-12 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology. Introduces continuum theory through a combination of classical and modern techniques. Annotation copyright Book News, Inc. Portland, Or.

Nonlocal Continuum Field Theories

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226435
Total Pages : 386 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Nonlocal Continuum Field Theories by : A. Cemal Eringen

Download or read book Nonlocal Continuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2007-06-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations.

Set Theory and the Continuum Problem

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Publisher :
ISBN 13 : 9780486474847
Total Pages : 0 pages
Book Rating : 4.4/5 (748 download)

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Book Synopsis Set Theory and the Continuum Problem by : Raymond M. Smullyan

Download or read book Set Theory and the Continuum Problem written by Raymond M. Smullyan and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the continuum hypothesis, and forcing and independence results. 1996 edition.

Continuum Theory of the Mechanics of Fibre-Reinforced Composites

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Publisher : Springer
ISBN 13 : 3709143365
Total Pages : 290 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Continuum Theory of the Mechanics of Fibre-Reinforced Composites by : A.J.M. Spencer

Download or read book Continuum Theory of the Mechanics of Fibre-Reinforced Composites written by A.J.M. Spencer and published by Springer. This book was released on 2014-05-04 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Continuum Theory of Plasticity

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Publisher : John Wiley & Sons
ISBN 13 : 9780471310433
Total Pages : 434 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis Continuum Theory of Plasticity by : Akhtar S. Khan

Download or read book Continuum Theory of Plasticity written by Akhtar S. Khan and published by John Wiley & Sons. This book was released on 1995-02-28 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only modern, up-to-date introduction to plasticity Despite phenomenal progress in plasticity research over the past fifty years, introductory books on plasticity have changed very little. To meet the need for an up-to-date introduction to the field, Akhtar S. Khan and Sujian Huang have written Continuum Theory of Plasticity--a truly modern text which offers a continuum mechanics approach as well as a lucid presentation of the essential classical contributions. The early chapters give the reader a review of elementary concepts of plasticity, the necessary background material on continuum mechanics, and a discussion of the classical theory of plasticity. Recent developments in the field are then explored in sections on the Mroz Multisurface model, the Dafalias and Popov Two Surface model, the non-linear kinematic hardening model, the endochronic theory of plasticity, and numerous topics in finite deformation plasticity theory and strain space formulation for plastic deformation. Final chapters introduce the fundamentals of the micromechanics of plastic deformation and the analytical coupling between deformation of individual crystals and macroscopic material response of the polycrystal aggregate. For graduate students and researchers in engineering mechanics, mechanical, civil, and aerospace engineering, Continuum Theory of Plasticity offers a modern, comprehensive introduction to the entire subject of plasticity.

Continuum Mechanics and Theory of Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 3662047756
Total Pages : 666 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Continuum Mechanics and Theory of Materials by : Peter Haupt

Download or read book Continuum Mechanics and Theory of Materials written by Peter Haupt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Continuum Mechanics

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Publisher : Courier Corporation
ISBN 13 : 048613914X
Total Pages : 191 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Continuum Mechanics by : P. Chadwick

Download or read book Continuum Mechanics written by P. Chadwick and published by Courier Corporation. This book was released on 2012-08-08 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div

Set Theory of the Continuum

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Publisher : Springer Science & Business Media
ISBN 13 : 1461397545
Total Pages : 417 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Set Theory of the Continuum by : Haim Judah

Download or read book Set Theory of the Continuum written by Haim Judah and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily consisting of talks presented at a workshop at the MSRI during its "Logic Year" 1989-90, this volume is intended to reflect the whole spectrum of activities in set theory. The first section of the book comprises the invited papers surveying the state of the art in a wide range of topics of set-theoretic research. The second section includes research papers on various aspects of set theory and its relation to algebra and topology. Contributors include: J.Bagaria, T. Bartoszynski, H. Becker, P. Dehornoy, Q. Feng, M. Foreman, M. Gitik, L. Harrington, S. Jackson, H. Judah, W. Just, A.S. Kechris, A. Louveau, S. MacLane, M. Magidor, A.R.D. Mathias, G. Melles, W.J. Mitchell, S. Shelah, R.A. Shore, R.I. Soare, L.J. Stanley, B. Velikovic, H. Woodin.

Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity

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Author :
Publisher : World Scientific
ISBN 13 : 9814518956
Total Pages : 208 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity by : Attila Askar

Download or read book Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity written by Attila Askar and published by World Scientific. This book was released on 1986-07-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a discussion of lattice dynamics for perfect and imperfect lattices and their relation to continuum theories of elasticity, piezoelectricity, viscoelasticity and plasticity. Some of the material is rather classical and close in spirit to solid state physics. A major aim here is to present a coherent theory for the four basic behavior types in the style of continuum mechanics. In each case, emphasis is on an explicit display of the physical mechanisms involved rather than general formalisms. The material is presented in terms of an atomistic picture for the discrete system. The basic ideas are believed to be relevant also at an intermediate scale in the continuum description of media with structure such as granular materials and composites.

The Static and Dynamic Continuum Theory of Liquid Crystals

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Publisher : CRC Press
ISBN 13 : 0203646339
Total Pages : 351 pages
Book Rating : 4.2/5 (36 download)

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Book Synopsis The Static and Dynamic Continuum Theory of Liquid Crystals by : Iain W. Stewart

Download or read book The Static and Dynamic Continuum Theory of Liquid Crystals written by Iain W. Stewart and published by CRC Press. This book was released on 2004-06-29 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given the widespread interest in macroscopic phenomena in liquid crystals, stemming from their applications in displays and devices. The need has arisen for a rigorous yet accessible text suitable for graduate students, whatever their scientific background. This book satisfies that need. The approach taken in this text, is to introduce the basic continuum theory for nematic liquid crystals in equilibria, then it proceeds to simple application of this theory- in particular, there is a discussion of electrical and magnetic field effects which give rise to Freedericksz transitions, which are important in devices. This is followed by an account of dynamic theory and elementary viscometry of nemantics Discussions of backflow and flow-induced instabilities are also included. Smetic theory is also briefly introduced and summarised with some examples of equilibrium solutions as well as those with dynamic effects. A number of mathematical techniques, such as Cartesian tensors and some variational calculus, are presented in the appendices.

Continuum Thermodynamics and Constitutive Theory

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Publisher : Springer Nature
ISBN 13 : 3030439895
Total Pages : 238 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Continuum Thermodynamics and Constitutive Theory by : Christina Papenfuß

Download or read book Continuum Thermodynamics and Constitutive Theory written by Christina Papenfuß and published by Springer Nature. This book was released on 2020-05-16 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents different thermodynamic approaches in the area of constitutive theory: thermodynamics of irreversible processes, rational thermodynamics, and extended thermodynamics. These different approaches are analyzed with respect to their presuppositions, as well as to their results, and each method is applied to several important examples. In many cases these examples are archetypes for numerous technologically important materials; i.e. complex materials having an internal structure. Some of the examples dealt with in this book are liquid crystals, colloid suspensions, ans fiber suspensions. The book well serves students and researchers who have basic knowledge in continuum mechanics and thermodynamics. It provides a systematic overview of the vast field of thermodynamic constitutive theory, beginning from a historical perspective and concluding with outstanding questions in recent research.

Multiphase Flow and Fluidization

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Publisher : Elsevier
ISBN 13 : 0080512267
Total Pages : 489 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Multiphase Flow and Fluidization by : Dimitri Gidaspow

Download or read book Multiphase Flow and Fluidization written by Dimitri Gidaspow and published by Elsevier. This book was released on 2012-12-02 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful as a reference for engineers in industry and as an advanced level text for graduate engineering students, Multiphase Flow and Fluidization takes the reader beyond the theoretical to demonstrate how multiphase flow equations can be used to provide applied, practical, predictive solutions to industrial fluidization problems. Written to help advance progress in the emerging science of multiphase flow, this book begins with the development of the conservation laws and moves on through kinetic theory, clarifying many physical concepts (such as particulate viscosity and solids pressure) and introducing the new dependent variable--the volume fraction of the dispersed phase. Exercises at the end of each chapterare provided for further study and lead into applications not covered in the text itself. Treats fluidization as a branch of transport phenomena Demonstrates how to do transient, multidimensional simulation of multiphase processes The first book to apply kinetic theory to flow of particulates Is the only book to discuss numerical stability of multiphase equations and whether or not such equations are well-posed Explains the origin of bubbles and the concept of critical granular flow Presents clearly written exercises at the end of each chapter to facilitate understanding and further study

Continuum Solvation Models in Chemical Physics

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Publisher : John Wiley & Sons
ISBN 13 : 9780470515228
Total Pages : 636 pages
Book Rating : 4.5/5 (152 download)

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Book Synopsis Continuum Solvation Models in Chemical Physics by : Benedetta Mennucci

Download or read book Continuum Solvation Models in Chemical Physics written by Benedetta Mennucci and published by John Wiley & Sons. This book was released on 2008-02-28 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the theory and applications of continuum solvation models. The main focus is on the quantum-mechanical version of these models, but classical approaches and combined or hybrid techniques are also discussed. Devoted to solvation models in which reviews of the theory, the computational implementation Solvation continuum models are treated using the different points of view from experts belonging to different research fields Can be read at two levels: one, more introductive, and the other, more detailed (and more technical), on specific physical and numerical aspects involved in each issue and/or application Possible limitations or incompleteness of models is pointed out with, if possible, indications of future developments Four-colour representation of the computational modeling throughout.

The Continuum

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Publisher : Courier Corporation
ISBN 13 : 0486679829
Total Pages : 165 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis The Continuum by : Hermann Weyl

Download or read book The Continuum written by Hermann Weyl and published by Courier Corporation. This book was released on 1994-01-01 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise classic by great mathematician and physicist deals with logic and mathematics of set and function, concept of number and the continuum. Bibliography. Originally published 1918.

Aeroelasticity

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Publisher : Springer Science & Business Media
ISBN 13 : 1461436095
Total Pages : 408 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Aeroelasticity by : AV Balakrishnan

Download or read book Aeroelasticity written by AV Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-07-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author's approach is one of continuum models of the aerodynamic flow interacting with a flexible structure whose behavior is governed by partial differential equations. Both linear and nonlinear models are considered although much of the book is concerned with the former while keeping the latter clearly in view. A complete chapter is also devoted to nonlinear theory. The author has provided new insights into the classical inviscid aerodynamics and raises novel and interesting questions on fundamental issues that have too often been neglected or forgotten in the development of the early history of the subject. The author contrasts his approach with discrete models for the unsteady aerodynamic flow and the finite element model for the structure. Much of the aeroelasticity has been developed with applications formerly in mind because of its enormous consequences for the safety of aircraft. Aeroelastic instabilities such as divergence and flutter and aeroelastic responses to gusts can pose a significant hazard to the aircraft and impact its performance. Yet, it is now recognized that there are many other physical phenomena that have similar characteristics ranging from flows around flexible tall buildings and long span bridges, alternate energy sources such as electric power generation by smart structures to flows internal to the human body. From the foreword: "For the theorist and applied mathematician who wishes an introduction to this fascinating subject as well as for the experienced aeroelastician who is open to new challenges and a fresh viewpoint, this book and its author have much to offer the reader." Earl Dowell, Duke University, USA