P-adic analysis - Definition and Overview

P-adic analysis (p-adic analysis) is a branch of mathematics that deals with functions of p-adic numbers. P-adic analysis concerns how functional solutions are related to rational solutions. It involves methods of algorithms for planning, summarizing, and interpreting approximate numerical solutions to functions of real numbers in comparison to complex numbers. It also involves arithmetic generalization and extension.

P-adic analysis is used in probability theory, number theory, algebraic geometry, and representation theory. It has applications in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory, and string theory.

Also see

• locally compact space
• mathematical analysis
• physics
• Mahler's theorem, which treats a p-adic analog of Taylor series.