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Geometry, Differential --- Mathematical physics --- Congresses. --- Congresses.
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Algebraische Geometrie. --- Fourier analysis. --- Fourier transformations. --- Integraltransformation --- Integraltransformation. --- Algebraische Geometrie.
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Mathematics --- Mathématiques --- History --- Histoire --- Mathématiques --- Mathematics - History
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Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present people who have impressive charisma and wide-ranging cultural interests, who are passionate about defending the importance of their own research, are sensitive to beauty, and attentive to the social and political problems of their times. What we have sought to document is mathematics’ central position in the culture of our day. Space has been made not only for the great mathematicians but also for literary texts, including contributions by two apparent interlopers, Robert Musil and Raymond Queneau, for whom mathematical concepts represented a valuable tool for resolving the struggle between ‘soul and precision.’.
Mathematicians. --- Mathematics -- History. --- Mathematicians --- Mathematics --- Physical Sciences & Mathematics --- Mathematics - General --- Mathematics. --- Computers. --- Algebra. --- Game theory. --- History. --- Mathematical logic. --- Probabilities. --- History of Mathematical Sciences. --- History of Computing. --- Game Theory, Economics, Social and Behav. Sciences. --- Mathematical Logic and Foundations. --- Probability Theory and Stochastic Processes. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Annals --- Auxiliary sciences of history --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematical analysis --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Math --- Science
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Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics examines the algebro-geometric approach (Fourier-Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: * Basic constructions and definitions are presented in preliminary background chapters * Presentation explores applications and suggests several open questions * Extensive bibliography and index This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.
Differential geometry. Global analysis --- Geometry --- Partial differential equations --- Mathematical physics --- differentiaalvergelijkingen --- landmeetkunde --- differentiaal geometrie --- wiskunde --- fysica
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Differential geometry. Global analysis --- Geometry --- Partial differential equations --- Mathematical physics --- differentiaalvergelijkingen --- landmeetkunde --- differentiaal geometrie --- wiskunde --- fysica
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Mathematical logic --- Algebra --- Operational research. Game theory --- Mathematics --- Computer. Automation --- algebra --- stochastische analyse --- geschiedenis --- speltheorie --- wiskunde --- computergeschiedenis --- kansrekening
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Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present people who have impressive charisma and wide-ranging cultural interests, who are passionate about defending the importance of their own research, are sensitive to beauty, and attentive to the social and political problems of their times. What we have sought to document is mathematics' central position in the culture of our day. Space has been made not only for the great mathematicians but also for literary texts, including contributions by two apparent interlopers, Robert Musil and Raymond Queneau, for whom mathematical concepts represented a valuable tool for resolving the struggle between soul and precision.'
Mathematical logic --- Algebra --- Operational research. Game theory --- Mathematics --- Computer. Automation --- algebra --- stochastische analyse --- geschiedenis --- speltheorie --- wiskunde --- computergeschiedenis --- kansrekening
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