Ultrametric calculus: an introduction to p-adic analysis
Schikhof, Wilhelmus Hendricus.
Ultrametric calculus: an introduction to p-adic analysis - Cambridge: Cambridge University Press, 2007. - xi, 306 p. ; pb, 24 cm. - Cambridge studies in advanced mathematics ; 4. .
Includes index.
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.
9780521032872
p-adic analysis
Calculus
p-adic numbers
Analysis
515 / SCH
Ultrametric calculus: an introduction to p-adic analysis - Cambridge: Cambridge University Press, 2007. - xi, 306 p. ; pb, 24 cm. - Cambridge studies in advanced mathematics ; 4. .
Includes index.
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.
9780521032872
p-adic analysis
Calculus
p-adic numbers
Analysis
515 / SCH
