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Oscar Zariski's work in mathematics permanently altered the foundations of algebraic geometry. The powerful tools he forged from the ideas of modern algebra allowed him to penetrate classical problems with an unaccustomed depth, and brought new rigor to the intuitive proofs of the Italian School. The students he trained at John Hopkins, and later at Harvard, are among the foremost mathematicians of our time. While what he called his "real life" is recorded in almost a hundred books and papers, this story of his "unreal life" is based upon Parikh's interviews with his family, colleagues, and students, and on his own memories from a series of tape-recorded interviews made a few years before his death in 1986. First published in 1991, The Unreal Life of Oscar Zariski was highly successful and widely praised, but has been out of print for many years. Springer is proud to make this book available again, introducing Oscar Zariski to a new generation of mathematicians. About this book: "I want to express my appreciation to you for having penetrated so deeply into the many-faceted aspects of a complex and mercurial life." - Yole Zariski, Oscar Zariski's wife "...an attractive book that recreates one of the great mathematical personalities of our century. Both mathematicians and nonspecialists will enjoy it." - Doru Stefanescu, Mathematical Reviews "Carol Parikh's perceptive narrative of the life of Oscar Zariski, the man, is based on his own recollections tape recorded a few years before his death, and on the author's extensive interviews with his family, colleagues, and students. Here we learn of his birth in a Jewish settlement in eastern Poland, high school in Russia, university in Rome, and maturity in the United States...We see his development as a mathematician in the context of the people around him. We see his humanity in his love for his family and the care he devoted to his students...All this and more in Carol Parikh's prize-winning English prose make this book a delight to read." - Robin Hartshorne, American Mathematical Monthly.

Metal-work. --- Mathematicians --- Geometry, Algebraic --- Mathematics - General --- Mathematics --- Physical Sciences & Mathematics --- Geometry, Algebraic. --- Zariski, Oscar, --- Algebraic geometry --- Mathematics. --- Algebraic geometry. --- History. --- History of Mathematical Sciences. --- Algebraic Geometry. --- Geometry --- Geometry, algebraic. --- Annals --- Auxiliary sciences of history --- Math --- Science

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In the last decades, new experimental and numerical techniques have taken many advanced features of porous media mechanics down to practical engineering applications. This happened in areas that sometimes were not even suspected to be open to engineering ideas at all. The challenge that often faces engineers in the field of geomechanics, biomechanics, rheology and materials science is the translation of ideas existing in one field to solutions in the other. The purpose of the IUTAM symposium from which this proceedings volume has been compiled was to dive deep into the mechanics of those porous media that involve mechanics and chemistry, mechanics and electromagnetism, mechanics and thermal fluctuations of mechanics and biology. The different sections have purposely not been formed according to field interest, but on the basis of the physics involved.

Porous materials --- Mechanical properties --- Porous media --- Materials --- Porosity --- Mechanical engineering. --- Hydraulic engineering. --- Chemistry. --- Surfaces (Physics). --- Solid State Physics. --- Mechanical Engineering. --- Engineering Fluid Dynamics. --- Electrochemistry. --- Surfaces and Interfaces, Thin Films. --- Geotechnical Engineering & Applied Earth Sciences. --- Physics --- Surface chemistry --- Surfaces (Technology) --- Physical sciences --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Engineering, Mechanical --- Machinery --- Steam engineering --- Solid state physics. --- Fluid mechanics. --- Materials—Surfaces. --- Thin films. --- Geotechnical engineering. --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Films, Thin --- Solid film --- Solid state electronics --- Solids --- Coatings --- Thick films --- Chemistry, Physical and theoretical --- Hydromechanics --- Continuum mechanics

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The investigations of multiscale problems in multibody system contacts is a most interesting and timely topic which is the subject of intensive research for more than a decade. Many questions have already been answered and the mechanically sound description and simulation is increasingly being applied to practical engineering problems. The IUTAM Symposium on ”Multiscale Problems in Multibody System Contacts” in Stuttgart, Germany which was held February 20-23, 2006 facilitated discussions between researchers active in the ?eld and enabled us to review the current state of the subject, and to identify the important topics which require further e?ort. Multiscale problems occur very naturally in contact mechanics. Typically thecontactforcesandstressesareveryhighandthey aretransmittedwithina veryshortperiodoftime.This leadstoquestions,e.g.howtheslowrigidbody motion and the fast motion changes can be considered simultaneously or how interface e?ects couple with wave propagation and the large-scale motion. The purpose of the symposium was to provide a basis for discussion and exchange of new concepts and ideas between scientists from all over Europe and the world. Emphasis was placed also on sharing algorithms and concepts with young researchers who only recently entered the ?eld of mechanical c- tacts.

Engineering. --- Computer mathematics. --- Applied mathematics. --- Engineering mathematics. --- Computational intelligence. --- Mechanics. --- Mechanics, Applied. --- Vibration. --- Dynamical systems. --- Dynamics. --- Mechanical engineering. --- Mechanical Engineering. --- Vibration, Dynamical Systems, Control. --- Computational Mathematics and Numerical Analysis. --- Appl.Mathematics/Computational Methods of Engineering. --- Computational Intelligence. --- Theoretical and Applied Mechanics. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Applied mechanics --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Engineering analysis --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Construction --- Industrial arts --- Technology --- Contact mechanics --- Many-body problem --- Contact problems (Mechanics) --- Mechanics, Contact --- Mechanics, Applied --- Computer science --- Mechanics, applied. --- Mathematical and Computational Engineering. --- Mathematics.

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This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). The study of vortex motion is of great interest to fluid and gas dynamics: since all real flows are vortical in nature, applications of the vortex theory are extremely diverse, many of them (e.g. aircraft dynamics, atmospheric and ocean phenomena) being especially important. The last few decades have shown that serious possibilities for progress in the research of real turbulent vortex motions are essentially related to the combined use of mathematical methods, computer simulation and laboratory experiments. These approaches have led to a series of interesting results which allow us to study these processes from new perspectives. Based on this principle, the papers collected in this proceedings volume present new results on theoretical and applied aspects of the processes of formation and evolution of various flows, wave and coherent structures in gas and fluid. Much attention is given to the studies of nonlinear regular and chaotic regimes of vortex interactions, advective and convective motions. The contributors are leading scientists engaged in fundamental and applied aspects of the above mentioned fields.

Vortex-motion --- Fluid dynamics --- Hamiltonian systems --- Aerodynamics --- Eddies --- Hydrodynamics --- Rotational motion --- Oceanography. --- Hydraulic engineering. --- Statistical physics. --- Fluid- and Aerodynamics. --- Numerical and Computational Physics, Simulation. --- Complex Systems. --- Engineering Fluid Dynamics. --- Statistical Physics and Dynamical Systems. --- Physics --- Mathematical statistics --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Oceanography, Physical --- Oceanology --- Physical oceanography --- Thalassography --- Earth sciences --- Marine sciences --- Ocean --- Statistical methods --- Fluids. --- Physics. --- Dynamical systems. --- Fluid mechanics. --- Hydromechanics --- Continuum mechanics --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Hydrostatics --- Permeability

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Rotor dynamics is an important branch of dynamics that deals with behavior of rotating machines ranging from very large systems like power plant rotors, for example, a turbogenerator, to very small systems like a tiny dentist’s drill, with a variety of rotors such as pumps, compressors, steam/gas turbines, motors, turbopumps etc. as used for example in process industry, falling in between. The speeds of these rotors vary in a large range, from a few hundred RPM to more than a hundred thousand RPM. Complex systems of rotating shafts depending upon their specific requirements, are supported on different types of bearings. There are rolling element bearings, various kinds of fluid film bearings, foil and gas bearings, magnetic bearings, to name but a few. The present day rotors are much lighter, handle a large amount of energy and fluid mass, operate at much higher speeds, and therefore are most susceptible to vibration and instability problems. This have given rise to several interesting physical phenomena, some of which are fairly well understood today, while some are still the subject of continued investigation. Research in rotor dynamics started more than one hundred years ago. The progress of the research in the early years was slow. However, with the availability of larger computing power and versatile measurement technologies, research in all aspects of rotor dynamics has accelerated over the past decades. The demand from industry for light weight, high performance and reliable rotor-bearing systems is the driving force for research, and new developments in the field of rotor dynamics.   The symposium proceedings contain papers on various important aspects of rotor dynamics such as, modeling, analytical, computational and experimental methods, developments in bearings, dampers, seals including magnetic bearings, rub, impact and foundation effects, turbomachine blades, active and passive vibration control strategies including control of instabilities, nonlinear and parametric effects, fault diagnostics and condition monitoring, and cracked rotors.   This volume is of immense value to teachers, researchers in educational institutes, scientists, researchers in R&D laboratories and practising engineers in industry.

Rotors -- Dynamics -- Congresses. --- Rotors -- Dynamics. --- Rotors. --- Rotors --- Mechanical engineering --- Civil & Environmental Engineering --- Mechanical Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Mechanical Engineering - General --- Dynamics --- Engineering. --- Statistical physics. --- Dynamical systems. --- Computational intelligence. --- Vibration. --- Dynamics. --- Mechanical engineering. --- Machinery. --- Vibration, Dynamical Systems, Control. --- Machinery and Machine Elements. --- Computational Intelligence. --- Mechanical Engineering. --- Statistical Physics, Dynamical Systems and Complexity. --- Machinery --- Machines --- Manufactures --- Power (Mechanics) --- Technology --- Motors --- Power transmission --- Engineering, Mechanical --- Engineering --- Steam engineering --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Mathematical statistics --- Construction --- Industrial arts --- Curious devices --- Statistical methods --- Rotational motion --- Complex Systems. --- Statistical Physics and Dynamical Systems.