Ultrametric Calculus

This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ.

Ultrametric Calculus

This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes acquainted with this equally 'real' analysis and appreciates its relevance. The reader's understanding is enhanced and deepened by the large number of exercises included throughout; these both test the reader's grasp and extend the text in interesting directions. As a consequence, this book will become a standard reference for professionals (especially in p-adic analysis, number theory and algebraic geometry) and will be welcomed as a textbook for advanced students of mathematics familiar with algebra and analysis.

More Books:

Ultrametric Calculus
Language: en
Pages: 320
Authors: W. H. Schikhof
Categories: Mathematics
Type: BOOK - Published: 2007-01-25 - Publisher: Cambridge University Press

This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes acquainted with this equally 'real' analysis
Advances in Ultrametric Analysis
Language: en
Pages: 290
Authors: Alain Escassut, Cristina Perez-Garcia, Khodr Shamseddine
Categories: Functional analysis
Type: BOOK - Published: 2018-03-26 - Publisher: American Mathematical Soc.

Articles included in this book feature recent developments in various areas of non-Archimedean analysis: summation of -adic series, rational maps on the projective line over , non-Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, -modules with a convex base, non-compact Trace class operators and Schatten-class operators in -adic Hilbert spaces, algebras of
Advances in Non-Archimedean Analysis
Language: en
Pages: 280
Authors: Jesus Araujo-Gomez, Bertin Diarra, Alain Escassut
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: American Mathematical Soc.

This volume contains papers based on lectures given at the Eleventh International Conference on $p$-adic Functional Analysis, which was held from July 5-9, 2010, in Clermont-Ferrand, France. The articles collected here feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces
Dynamics in One Non-Archimedean Variable
Language: en
Pages: 463
Authors: Robert L. Benedetto
Categories: Analytic spaces
Type: BOOK - Published: 2019-03-05 - Publisher: American Mathematical Soc.

The theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a rational function acting on the Riemann sphere. Building on foundational investigations of p-adic dynamics in the late twentieth century, dynamics in one non-archimedean variable is the analogous
Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics
Language: en
Pages: 399
Authors: David Carfi, Michel Laurent Lapidus, Erin P. J. Pearse, Machiel Van Frankenhuysen
Categories: Mathematics
Type: BOOK - Published: 2013-10-22 - Publisher: American Mathematical Soc.

This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, held January 4-7, 2012, in