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Englisch
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Beschreibung
This book deals with the twistor treatment of certain linear and non-linear partial differential equations in mathematical physics. The description in terms of twistors involves algebraic and differential geometry, and several complex variables, and results in a different kind of setting that gives a new perspective on the properties of space-time and field theories. The book is designed to be used by mathematicians and physicists and so the authors have made it reasonably self-contained. The first part contains a development of the necessary mathematical background. In the second part, Yang-Mills fields and gravitational fields (the basic fields of contemporary physics) are described at the classical level. In the final part, the mathematics and physics are married to solve a number of field-theoretical problems.
This book deals with the twistor treatment of certain linear and non-linear partial differential equations in mathematical physics. The description in terms of twistors involves algebraic and differential geometry, and several complex variables, and results in a different kind of setting that gives a new perspective on the properties of space-time and field theories. The book is designed to be used by mathematicians and physicists and so the authors have made it reasonably self-contained. The first part contains a development of the necessary mathematical background. In the second part, Yang-Mills fields and gravitational fields (the basic fields of contemporary physics) are described at the classical level. In the final part, the mathematics and physics are married to solve a number of field-theoretical problems.
Inhaltsverzeichnis
Part I. Geometry: 1. Klein correspondence; 2. Fibre bundles; 3. Differential geometry; 4. Integral geometry; Part II. Field Theory: 5. Linear field theory; 6. Gauge theory; 7. General relativity; Part III. The Penrose Transform: 8. Massless free fields; 9. Self-dual gauge fields; 10. Self-dual space-times; 11. General gauge fields; 12. Stationary axisymmetric space-times; Special topics.
Details
Erscheinungsjahr: | 2004 |
---|---|
Fachbereich: | Geometrie |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
ISBN-13: | 9780521422680 |
ISBN-10: | 052142268X |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Ward, R. S.
Wells, Raymond O. JR Wells, Jr King |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 229 x 152 x 31 mm |
Von/Mit: | R. S. Ward (u. a.) |
Erscheinungsdatum: | 05.06.2004 |
Gewicht: | 0,854 kg |
Inhaltsverzeichnis
Part I. Geometry: 1. Klein correspondence; 2. Fibre bundles; 3. Differential geometry; 4. Integral geometry; Part II. Field Theory: 5. Linear field theory; 6. Gauge theory; 7. General relativity; Part III. The Penrose Transform: 8. Massless free fields; 9. Self-dual gauge fields; 10. Self-dual space-times; 11. General gauge fields; 12. Stationary axisymmetric space-times; Special topics.
Details
Erscheinungsjahr: | 2004 |
---|---|
Fachbereich: | Geometrie |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
ISBN-13: | 9780521422680 |
ISBN-10: | 052142268X |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Ward, R. S.
Wells, Raymond O. JR Wells, Jr King |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 229 x 152 x 31 mm |
Von/Mit: | R. S. Ward (u. a.) |
Erscheinungsdatum: | 05.06.2004 |
Gewicht: | 0,854 kg |
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