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This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. The book tries to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which is beyond the usual curriculum in physics. It is the author's goal to present the state of the art of realizing Einstein's dream of a unified theory for the four fundamental forces in the universe (gravitational, electromagnetic, strong, and weak interaction). From the reviews: "… Quantum field theory is one of the great intellectual edifices in the history of human thought. … This volume differs from other books on quantum field theory in its greater emphasis on the interaction of physics with mathematics. … an impressive work of scholarship." (William G. Faris, SIAM Review, Vol. 50 (2), 2008)  "… it is a fun book for practicing quantum field theorists to browse, and it may be similarly enjoyed by mathematical colleagues. Its ultimate value may lie in encouraging students to enter this challenging interdisciplinary area of mathematics and physics. Summing Up: Recommended. Upper-division undergraduates through faculty." (M. C. Ogilvie, CHOICE, Vol. 44 (9), May, 2007).

Quantum field theory. --- Field theory (Physics) --- Relativistic quantum field theory --- Quantum theory --- Relativity (Physics) --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Global analysis (Mathematics). --- Quantum theory. --- Mathematical physics. --- Functional analysis. --- Differential equations, partial. --- Theoretical, Mathematical and Computational Physics. --- Analysis. --- Elementary Particles, Quantum Field Theory. --- Mathematical Methods in Physics. --- Functional Analysis. --- Partial Differential Equations. --- Partial differential equations --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Physical mathematics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematics --- Mathematical analysis. --- Analysis (Mathematics). --- Elementary particles (Physics). --- Physics. --- Partial differential equations. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- 517.1 Mathematical analysis --- Mathematical analysis

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The construction of a quantum theory of gravity is the most fundamental challenge confronting contemporary theoretical physics. The different physical ideas which evolved while developing a theory of quantum gravity require highly advanced mathematical methods. This book presents different mathematical approaches to formulate a theory of quantum gravity. It represents a carefully selected cross-section of lively discussions about the issue of quantum gravity which took place at the second workshop "Mathematical and Physical Aspects of Quantum Gravity" in Blaubeuren, Germany. This collection covers in a unique way aspects of various competing approaches. A unique feature of the book is the presentation of different approaches to quantum gravity making comparison feasible. This feature is supported by an extensive index. The book is mainly addressed to mathematicians and physicists who are interested in questions related to mathematical physics. It allows the reader to obtain a broad and up-to-date overview on a fascinating active research area. .

Quantum gravity --- Mathematical models --- Gravity, Quantum --- General relativity (Physics) --- Gravitation --- Quantum theory --- Quantum theory. --- Mathematical physics. --- Mathematics. --- Astronomy. --- Classical and Quantum Gravitation, Relativity Theory. --- Elementary Particles, Quantum Field Theory. --- Mathematical Methods in Physics. --- Applications of Mathematics. --- Quantum Physics. --- Astronomy, Astrophysics and Cosmology. --- Math --- Science --- Physical mathematics --- Physics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Mathematics --- Gravitation. --- Elementary particles (Physics). --- Quantum field theory. --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Quantum physics. --- Astrophysics. --- Astronomical physics --- Astronomy --- Cosmic physics --- Engineering --- Engineering analysis --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Relativistic quantum field theory --- Field theory (Physics) --- Relativity (Physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Matter --- Antigravity --- Centrifugal force --- Properties

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Die wichtigsten Texte zu OMA / Rem Koolhaas The activities of Rem Koolhaas and his staff were widely discussed even before the foundation of the Office for Metropolitan Architecture in 1975. Today, many contributions on the work of OMA can be found in the international architectural press, including Koolhaas' own writings. The book contains about 150 selected texts-interviews, feature articles, essays, lead articles, reviews, letters, introductions, appraisals, and competition reports that have been compiled for the first time. This compilation not only provides a fresh and critical view of the oeuvre of one the most important contemporary architects, but also represents an account of the debate on architectural and urban design in recent decades.

Koolhaas, Rem. --- Office for Metropolitan Architecture.