A COMPARISON OF p-ADIC ANALYSIS AND REAL ANALYIS
The p-adic numbers are an extension of the rational number system which is complete (like the real number system). Some aspects of analysis/calculus work as well in the p-adic field as they do in the real. However, there are many differences between them, both topological and algebraic.
4- Define the field of Q_p of p-adic number
5- prove Hensel’s lemma:
6- Define the derivative .
7- Solve the question as an Example: Show that √(-1) and √4 in field Q5 ?
8- References.
write the math equations, numbers, and the notations in math program to show them in a nice way. For example
Q_p={ 1,2,…}
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