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The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications togeneral gauge theories. The second part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the third part provides an introduction to quantum field theory, presents various renormalization methods, and discusses the quantization of factorization algebras.
The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications togeneral gauge theories. The second part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the third part provides an introduction to quantum field theory, presents various renormalization methods, and discusses the quantization of factorization algebras.
Introduces new concepts
Provides a clear overview
Gives a complete mathematical toolbox for the coordinate-free treatment of classical and quantum field theories
Includes supplementary material: [...]
Introduction.- Mathematical Preliminaries.- Classical Trajectories and Fields.- Quantum Trajectories and Fields.- Appendices.
Fachbereich: | Theoretische Physik |
---|---|
Genre: | Physik |
Medium: | Buch |
Seiten: | 504 |
Reihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
Inhalt: |
xvi
487 S. 76 s/w Illustr. 1 farbige Illustr. 487 p. 77 illus. 1 illus. in color. |
ISBN-13: | 9783319045634 |
ISBN-10: | 3319045636 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: | Paugam, Frédéric |
Auflage: | 2014 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
Maße: | 241 x 160 x 33 mm |
Von/Mit: | Frédéric Paugam |
Erscheinungsdatum: | 05.03.2014 |
Gewicht: | 0,916 kg |
Introduces new concepts
Provides a clear overview
Gives a complete mathematical toolbox for the coordinate-free treatment of classical and quantum field theories
Includes supplementary material: [...]
Introduction.- Mathematical Preliminaries.- Classical Trajectories and Fields.- Quantum Trajectories and Fields.- Appendices.
Fachbereich: | Theoretische Physik |
---|---|
Genre: | Physik |
Medium: | Buch |
Seiten: | 504 |
Reihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
Inhalt: |
xvi
487 S. 76 s/w Illustr. 1 farbige Illustr. 487 p. 77 illus. 1 illus. in color. |
ISBN-13: | 9783319045634 |
ISBN-10: | 3319045636 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: | Paugam, Frédéric |
Auflage: | 2014 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
Maße: | 241 x 160 x 33 mm |
Von/Mit: | Frédéric Paugam |
Erscheinungsdatum: | 05.03.2014 |
Gewicht: | 0,916 kg |