Porter Lectures – serie
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5 produkter
Computers, Rigidity, and Moduli
The Large-Scale Fractal Geometry of Riemannian Moduli Space
Inbunden, 2004
905 kr
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This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric …
Topics in Non-Commutative Geometry
Häftad, 2014
383 kr
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There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin …
Shafarevich Maps and Automorphic Forms
Av János Kollár
Häftad, 2014
460 kr
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The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for much interplay between methods of algebraic geometry, complex analysis, the theory of harmonic maps, and topology. Making …
Recurrence in Ergodic Theory and Combinatorial Number Theory
Häftad, 2014
469 kr
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Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. The Princeton Legacy Library uses …
Szegő's Theorem and Its Descendants
Spectral Theory for L2 Perturbations of Orthogonal Polynomials
Av Barry Simon
Inbunden, 2010
1355 kr
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This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gabor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that …