Theory of P-adic Distributions

Linear and Nonlinear Models

Author: S. Albeverio,V. M. Shelkovich

Publisher: Cambridge University Press

ISBN: 0521148561

Category: Mathematics

Page: 351

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A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.
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Advances in Non-Archimedean Analysis

Author: Helge Glöckner,Alain Escassut,Khodr Shamseddine

Publisher: American Mathematical Soc.

ISBN: 1470419882

Category: Functional analysis

Page: 335

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This volume contains the Proceedings of the 13th International Conference on p-adic Functional Analysis, held from August 12–16, 2014, at the University of Paderborn, Paderborn, Germany. The articles included in this book feature recent developments in various areas of non-Archimedean analysis, non-Archimedean functional analysis, representation theory, number theory, non-Archimedean dynamical systems and applications. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.
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Zariski Geometries

Geometry from the Logician's Point of View

Author: Boris Zilber

Publisher: Cambridge University Press

ISBN: 1139486519

Category: Mathematics

Page: N.A

View: 1453

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This book presents methods and results from the theory of Zariski structures and discusses their applications in geometry as well as various other mathematical fields. Its logical approach helps us understand why algebraic geometry is so fundamental throughout mathematics and why the extension to noncommutative geometry, which has been forced by recent developments in quantum physics, is both natural and necessary. Beginning with a crash course in model theory, this book will suit not only model theorists but also readers with a more classical geometric background.
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Smoothness, Regularity and Complete Intersection

Author: Javier Majadas,Antonio G. Rodicio

Publisher: Cambridge University Press

ISBN: 1139485806

Category: Mathematics

Page: N.A

View: 4522

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Written to complement standard texts on commutative algebra, this short book gives complete and relatively easy proofs of important results, including the standard results involving localisation of formal smoothness (M. André) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and André on regular homomorphisms, and some results from A. Grothendieck's EGA on smooth homomorphisms. The authors make extensive use of the André–Quillen homology of commutative algebras, but only up to dimension 2, which is easy to construct, and they deliberately avoid using simplicial methods. The book also serves as an accessible introduction to some advanced topics and techniques. The only prerequisites are a basic course in commutative algebra and the first definitions in homological algebra.
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Conformal Fractals

Ergodic Theory Methods

Author: Feliks Przytycki,Mariusz Urbański

Publisher: Cambridge University Press

ISBN: 0521438004

Category: Mathematics

Page: 354

View: 2198

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A one-stop introduction to the methods of ergodic theory applied to holomorphic iteration that is ideal for graduate courses.
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