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Fundamentals of Physics and Chemistry of the Atmosphere
Additive and Cancellative Interacting Particle Systems (Lecture Notes in Mathematics) by David Griffeath (Repost)
PI and the AGM: A Study in Analytic Number Theory and Computational Complexity by Jonathan M. Borwein (Repost)
Advances in Complex Function Theory (Lecture Notes in Mathematics) by W. E. Kirwan (Repost)
Synthetic inorganic chemistry a course of laboratory and classroom study by Arthur Alphonzo Blanchard (Repost)
Invitation to Law and Society - An Introduction to the Study of Real Law
Matrix Mathematics - Theory, Facts, and Formulas, Second Edition
Mathematics Probability, Markov Chains, Queues, and Simulation - The Mathematical Basis of Performance Modeling
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Mathematics Mathematical Foundations of Computer Science 2004 [Repost]
Mathematics Mathematical Logic for Computer Science (3rd edition)
Physics Democracy and Public Space: The Physical Sites of Democratic Performance
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Statistical and Thermal Physics - With Computer Applications
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Additive and Cancellative Interacting Particle Systems (Lecture Notes in Mathematics) by David Griffeath (Repost)
PI and the AGM: A Study in Analytic Number Theory and Computational Complexity by Jonathan M. Borwein (Repost)
Advances in Complex Function Theory (Lecture Notes in Mathematics) by W. E. Kirwan (Repost)
Synthetic inorganic chemistry a course of laboratory and classroom study by Arthur Alphonzo Blanchard (Repost)
Invitation to Law and Society - An Introduction to the Study of Real Law
Matrix Mathematics - Theory, Facts, and Formulas, Second Edition
Mathematics Probability, Markov Chains, Queues, and Simulation - The Mathematical Basis of Performance Modeling
-Physics, Topology, Logic and Computation: A Rosetta Stone- by John C. Baez adn Mike Stay
-Quantum Physics for Scientists and Technologists- by Paul Sanghera (Repost)
Algebraic Aspects of Cryptography (Algorithms and Computation in Mathematics) by Neal Koblitz (Repost)
Mathematics Mathematical Foundations of Computer Science 2004 [Repost]
Mathematics Mathematical Logic for Computer Science (3rd edition)
Physics Democracy and Public Space: The Physical Sites of Democratic Performance
Spaces of Holomorphic Functions in the Unit Ball (Graduate Texts in Mathematics) by Kehe Zhu (Repost)
An Introduction to Ergodic Theory (Graduate Texts in Mathematics) by Peter Walters (Repost)
Statistical and Thermal Physics - With Computer Applications
Introduction to the Physics of the Earth's Interior (Cambridge Topics in Mineral Ph) by Jean Paul Poirier (Repost)
Mathematics Symmetry Theory in Molecular Physics with Mathematica: A new kind of tutorial book (Repost)
THE GNOMON WORKSHOP CREATING A 3D FIGURE STUDY BOOKWARE ISO-LZ0
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Study Material Inhomogeneities and their Evolution: A Geometric Approach (Repost)
Posted on 2010-03-16
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More Material Inhomogeneities and their Evolution: A Geometric Approach (Interaction of Mechanics and Mathematics) Inhomogeneity theory is of importance for the description of a variety of material phenomena, including continuous distributions of dislocations, fracture mechanics, plasticity, biological remodelling and growth and, more generally, all processes that entail changes in the material body driven by forces known in literature as material or configurational. This monograph presents a unified treatment of the theory using some of the tools of modern differential geometry. The first part of the book deals with the geometrical description of uniform bodies and their homogeneity (i.e., integrability) conditions. In the second part, a theory of material evolution is developed and its relevance in various applied contexts discussed. The necessary geometrical notions are introduced as needed in the first two parts but often without due attention to an uncompromising mathematical rigour. This task is left for the third part of the book, which is a highly technical compendium of those concepts of modern differential geometry that are invoked in the first two parts (differentiable manifolds, Lie groups, jets, principal fibre bundles, G-structures, connections, frame bundles, integrable prolongations, groupoids, etc.). To make the text as useful as possible to active researchers and graduate students, considerable attention has been devoted to non-standard topics, such as second-grade materials, Cosserat media and functionally graded bodies.
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