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The increasing precision of experimental data in many areas of elementary particle physics requires an equally precise theoretical description. In particular, radiative corrections (described by one- and multi-loop Feynman diagrams) have to be considered. Although a growing number of physicists are involved in such projects, multi-loop calculation methods can only be studied from original publications. With its coverage of multi-loop calculations, this book serves as an excellent supplement to the standard textbooks on quantum field theory. Based around postgraduate-level lectures given by the

Quantum electrodynamics. --- Quantum chromodynamics. --- Feynman diagrams. --- Many-body problem --- Matrices --- Quantum theory --- Chromodynamics, Quantum --- QCD (Nuclear physics) --- Particles (Nuclear physics) --- Quantum electrodynamics --- Electrodynamics, Quantum --- QED (Physics) --- Quantum field theory --- Schwinger action principle

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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.