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Princeton University Press - Asymptotic Differential Algebra

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Description

Explore the complex world of asymptotic differential algebra with this academic text from Princeton University Press. Part of the Annals of Mathematics Studies series (AMS-195), this work focuses on understanding differential equation solutions and their asymptotics through an algebraic lens. A central element of this study is the differential field of transseries. These series expand beyond standard power series to include exponential and logarithmic terms. The text examines how transseries function as super-exact asymptotic expansions for return maps of analytic vector fields. It also connects these concepts to Tarski's problem regarding the field of reals with exponentiation and explores their applications in mathematical physics. This volume serves as a formal resource for researchers studying the algebraic properties of these mathematical structures.

Key Features

This book is published by Princeton University Press as part of the Annals of Mathematics Studies series, volume 195.

The text examines the differential field of transseries, which includes exponential and logarithmic terms alongside powers of the variable.

It provides an algebraic perspective on the solutions of differential equations and their asymptotics.

The content covers the use of transseries as super-exact asymptotic expansions of return maps of analytic vector fields.

The material explores connections between transseries, Tarski's problem on the field of reals with exponentiation, and mathematical physics.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
06 June 2017
Listed Since
03 November 2016

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