Solitons, Instantons, and Twistors

Solitons, Instantons, and Twistors

AngličtinaMäkká väzba
Dunajski Maciej
Oxford University Press
EAN: 9780198872542
Na objednávku
Predpokladané dodanie v pondelok, 8. júla 2024
66,87 €
Bežná cena: 74,30 €
Zľava 10 %
ks
Chcete tento titul ešte dnes?
kníhkupectvo Megabooks Banská Bystrica
nie je dostupné
kníhkupectvo Megabooks Bratislava
nie je dostupné
kníhkupectvo Megabooks Košice
nie je dostupné

Podrobné informácie

Most nonlinear differential equations arising in natural sciences admit chaotic behaviour 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, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.
EAN 9780198872542
ISBN 0198872542
Typ produktu Mäkká väzba
Vydavateľ Oxford University Press
Dátum vydania 20. mája 2024
Stránky 416
Jazyk English
Rozmery 234 x 155 x 20
Krajina United Kingdom
Autori Dunajski Maciej
Edícia 2 Revised edition
Séria Oxford Graduate Texts in Mathematics