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Theatrical science --- anno 1960-1969 --- Great Britain --- France
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This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future development as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to include contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, B. Engquist, is a world-renowned researcher in computational science and engineering. The second editor, W. Schmid, is a distinguished mathematician at Harvard University. Likewise the authors are all foremost mathematicians and scientists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduate students still choosing their speciality.
Mathematics --- wiskunde --- Mathematics. --- Science. --- Mathématiques --- Sciences --- Science --- 51 --- Natural science --- Science of science --- Math --- 51 Mathematics --- Mathématiques --- Natural sciences --- 51 Wiskunde. Mathematiek --- Wiskunde. Mathematiek --- Computer mathematics. --- Computer science—Mathematics. --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Chemometrics. --- Computational Mathematics and Numerical Analysis. --- Mathematics of Computing. --- Mathematical Methods in Physics. --- Numerical and Computational Physics, Simulation. --- Mathematical and Computational Engineering. --- Math. Applications in Chemistry. --- Chemistry, Analytic --- Analytical chemistry --- Chemistry --- Engineering --- Engineering analysis --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Computer mathematics --- Electronic data processing --- Measurement --- Statistical methods
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This volume addresses the interplay between representation theory and automorphic forms. The invited papers, written by leading mathematicians, track recent progress in the ever expanding fields of representation theory and automorphic forms, and their association with number theory and differential geometry. Representation theory relates to number theory through the Langlands program, which conjecturally connects algebraic extensions of number fields to automorphic representations and L-functions. These are the subject of several of the papers. Multiplicity-free representations constitute another subject, which is approached geometrically via the notion of visible group actions on complex manifolds. Both graduate students and researchers will find inspiration in this volume. Contributors: T. Ikeda, T. Kobayashi, S. Miller, D. Ramakrishnan, W. Schmid, F. Shahidi, K. Yoshikawa.
Automorphic forms. --- Representations of groups. --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Automorphic functions --- Forms (Mathematics) --- Algebra. --- Number theory. --- Global differential geometry. --- Geometry, algebraic. --- Number Theory. --- Differential Geometry. --- Algebraic Geometry. --- Algebraic geometry --- Geometry --- Geometry, Differential --- Number study --- Numbers, Theory of --- Algebra --- Mathematics --- Mathematical analysis --- Differential geometry. --- Algebraic geometry. --- Differential geometry
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Number theory --- Algebra --- Differential geometry. Global analysis --- Geometry --- algebra --- landmeetkunde --- differentiaal geometrie --- getallenleer
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This volume addresses the interplay between representation theory and automorphic forms. The invited papers, written by leading mathematicians, track recent progress in the ever expanding fields of representation theory and automorphic forms, and their association with number theory and differential geometry. Representation theory relates to number theory through the Langlands program, which conjecturally connects algebraic extensions of number fields to automorphic representations and L-functions. These are the subject of several of the papers. Multiplicity-free representations constitute another subject, which is approached geometrically via the notion of visible group actions on complex manifolds. Both graduate students and researchers will find inspiration in this volume. Contributors: T. Ikeda, T. Kobayashi, S. Miller, D. Ramakrishnan, W. Schmid, F. Shahidi, K. Yoshikawa
Number theory --- Algebra --- Differential geometry. Global analysis --- Geometry --- algebra --- landmeetkunde --- differentiaal geometrie --- getallenleer
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Lie groups --- Modular groups --- Groupes de Lie --- Congresses --- Congrès --- Congrès --- Lie, Groupes de --- Groupes discrets --- Discrete groups
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