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Ultrametric Calculus

Autor W. H. Schikhof Editat de Bela Bollobás
en Limba Engleză Paperback – 19 dec 2006
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.
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Specificații

ISBN-13: 9780521032872
ISBN-10: 0521032873
Pagini: 320
Dimensiuni: 152 x 229 x 19 mm
Greutate: 0.52 kg
Ediția:Revised
Editura: Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

This is an introduction to p-adic analysis, displaying the variety of applications of the subject.