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Solitons, Instantons, and Twistors 2/e (Paperback)

Name: Solitons, Instantons, and Twistors 2/e (Paperback)
Brand: OUP Oxford
SKU: 9780198872542
Price: 369.55 RON
Availability: InStock

Autor: Dunajski, Maciej (Professor of Mathematical Physics, Professor of Mathematical Physics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge)

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Legare: Carte broșată

Editura: OUP Oxford

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Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot...

Informații despre carte

Autor

Dunajski, Maciej (Professor of Mathematical Physics, Professor of Mathematical Physics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge)

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2024

Pagini

416

EAN

9780198872542

ISBN

0198872542

Enbook ID

44446015

Editura

OUP Oxford

Greutate

708

Descriere completă

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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Solitons, Instantons, and Twistors 2/e (Paperback)

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