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  1. Bog
  2. Regning og matematisk analyse
  3. Differentialregning & ligninger

Solitons, Instantons, and Twistors

Af: Maciej Dunajski Engelsk Paperback

Solitons, Instantons, and Twistors

Af: Maciej Dunajski Engelsk Paperback
Tjek vores konkurrenters priser
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.
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Normalpris
kr 478
Fragt: 39 kr
6 - 8 hverdage
20 kr
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God 4 anmeldelser på
Tjek vores konkurrenters priser
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.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 416
ISBN-13: 9780198872542
Indbinding: Paperback
Udgave:
ISBN-10: 0198872542
Kategori: Differentialregning & ligninger
Udg. Dato: 20 maj 2024
Længde: 24mm
Bredde: 157mm
Højde: 234mm
Forlag: Oxford University Press
Oplagsdato: 20 maj 2024
Forfatter(e): Maciej Dunajski
Forfatter(e) Maciej Dunajski

Kategori Differentialregning & ligninger

ISBN-13 9780198872542

Sprog Engelsk

Indbinding Paperback

Sider 416

Udgave

Længde 24mm

Bredde 157mm

Højde 234mm

Udg. Dato 20 maj 2024

Oplagsdato 20 maj 2024

Forlag Oxford University Press

Kategori sammenhænge