Name: Solitons, Instantons, and Twistors (Oxford Graduate Texts in Mathematics) (en Inglés)
Price: 771.77 PEN
Availability: InStock
Author: Maciej Dunajski
ISBN: 9780198570622

portada Solitons, Instantons, and Twistors (Oxford Graduate Texts in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Oxford Univ Pr

Autor

Maciej Dunajski

Año

2009

Idioma

Inglés

N° páginas

359

Encuadernación

Tapa Dura

Peso

1.50

ISBN

9780198570622

ISBN13

9780198570622

N° edición

Categorías

Matemáticas aplicadas

Solitons, Instantons, and Twistors (Oxford Graduate Texts in Mathematics) (en Inglés)

Maciej Dunajski (Autor) · Oxford Univ Pr · Tapa Dura

Libro Nuevo

S/ 771,77

S/ 1.543,54

Ahorras: S/ 771,77

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Reseña del libro "Solitons, Instantons, and Twistors (Oxford Graduate Texts in Mathematics) (en Inglés)"

Most nonlinear differential equations arising in natural sciences admit chaotic behavior and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations.The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.