W. H. Schikhof: Ultrametric Calculus

Cover: 9780521032872 | Ultrametric Calculus | An Introduction to P-Adic Analysis | Schikhof

Rückseite: 9780521032872 | Ultrametric Calculus | An Introduction to P-Adic Analysis | Schikhof

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

This is an introduction to p-adic analysis, displaying the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ, therefore guaranteeing that 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 provided. 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.

Inhaltsverzeichnis

Frontispiece; Preface; Part I. Valuations: 1. Valuations; 2. Ultrametrics; Part II. Calculus: 3. Elementary calculus; 4. Interpolation; 5. Analytic functions; Part III. Functions on Zp: 6. Mahler's base and p-adic integration; 7. The p-adic gamma and zeta functions; 8. van der Put's base and antiderivation; Part IV. More General Theory of Functions: 9. Continuity and differentiability; 10. Cn -theory; 11. Monotone functions; Appendixes; Further reading; Notation; Index.

Details

Erscheinungsjahr:	2006
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780521032872
ISBN-10:	0521032873
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Schikhof, W. H.
Redaktion:	Bollobas, Bela
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 19 mm
Von/Mit:	W. H. Schikhof
Erscheinungsdatum:	25.01.2007
Gewicht:	0,522 kg