Solitons, Instantons, and Twistors
Series: Oxford Graduate Texts in Mathematics;
- Publisher's listprice GBP 45.00
-
22 774 Ft (21 690 Ft + 5% VAT)
The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.
- Discount 10% (cc. 2 277 Ft off)
- Discounted price 20 497 Ft (19 521 Ft + 5% VAT)
22 774 Ft
Availability
Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
Not in stock at Prospero.
Why don't you give exact delivery time?
Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Edition number 2
- Publisher OUP Oxford
- Date of Publication 20 May 2024
- ISBN 9780198872542
- Binding Paperback
- No. of pages416 pages
- Size 234x155x20 mm
- Weight 690 g
- Language English 723
Categories
Short description:
The book provides a self-contained and accessible introduction to integrable systems. It starts with an introduction to integrability of ordinary and partial differential equations, and goes on to explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations.
MoreLong description:
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.
The great strength of this volume is how self-contained it is in its approach, one seldom needs to look elsewhere before delving headfirst into this volume. In my own work, this text is often my first go-to choice whenever I require reference.A particular strength of the text is its firm modern introduction to integrability, as well as its gentle and instructive introduction to gravitational instantons and twistor theory. This text is suitable for a graduate-level reader base whose education has at least included a first course in quantum field theory and general relativity.
Table of Contents:
Integrability in classical mechanics
Soliton equations and the inverse scattering transform
Hamiltonian formalism and zero-curvature representation
Lie symmetries and reductions
Lagrangian formalism and field theory
Gauge field theory
Integrability of ASDYM and twistor theory
Symmetry reductions and the integrable chiral model
Vortices
Gravitational instantons
Anti-self-dual conformal structures
![The Bread Machine Book: 75 Unforgettable, Unfussy Recipes for Every Baker [A Baking Cookbook]](/kep/978/059/383/543/2.jpg "The Bread Machine Book: 75 Unforgettable, Unfussy Recipes for Every Baker [A Baking Cookbook]")
