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P-Adic Analysis & Mathematical Phy (V1)

by Vladimirov V S

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A mathematical introduction with physics applications

$109.30 USD
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Hardcover New English

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AlbakiReads Editorial

A mathematical introduction with physics applications

This volume connects p-adic analysis with questions across mathematics and theoretical physics. It begins with an introduction to p-adic numbers and analysis, supported by numerous examples, then turns to applications in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory, and string theory. The scope makes it useful for seeing how one mathematical framework is taken up across several areas, including investigations of non-Archimedean geometry in physics. Its 319 pages offer a broad survey of these connections rather than focusing on a single application.

Good fit for readers who enjoy

  • Readers seeking an introduction to p-adic numbers and p-adic analysis.
  • Students and researchers interested in mathematical methods used across number theory and theoretical physics.
  • Readers exploring p-adic applications in mechanics, quantum theory, statistical physics, or string theory.

Themes

p-adic numbers and analysisMathematical physicsNon-Archimedean geometryApplications across physical theories

Based on publisher information and book metadata.

Book overview

p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.

 

This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.

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