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Oxford University Press - Solitons, Instantons, and Twistors

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Description

Explore the complex world of nonlinear differential equations with this volume from the Oxford Graduate Texts in Mathematics series. While many equations in the natural sciences exhibit chaotic behavior, integrable systems offer a different perspective through regular and stable solutions. This text focuses on solitons and instantons, which serve as essential components in both pure and applied mathematics. In the realm of theoretical physics, these solutions describe configurations that are topologically different from a vacuum. The book examines how integrable equations in lower space-time dimensions can be addressed using the inverse scattering transform. It also provides insight into higher-dimensional examples, such as anti-self-dual Yang-Mills theories. This academic resource is designed for advanced students and researchers studying mathematical analysis and differential equations.

Key Features

Published by Oxford University Press as part of the Oxford Graduate Texts in Mathematics series.

Covers the study of solitons and instantons which are regular and stable solutions in integrable systems.

Discusses nonlinear differential equations and their role in pure and applied mathematics.

Examines theoretical physics through configurations that are topologically different from a vacuum.

Provides mathematical context for the inverse scattering transform used in lower space-time dimensions.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
22 July 2010
Listed Since
26 February 2009

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