Geometry, Symmetries, and Classical Physics

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Sprache: Englisch

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Beschreibung

This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding of the fundamentals of differential geometry and symmetries in classical physics. Readers, working through the book, will obtain a thorough understanding of symmetry principles and their application in mechanics, field theory, and general relativity, and in addition acquire the necessary calculational skills to tackle more sophisticated questions in theoretical physics.

Most of the topics covered in this book have previously only been scattered across many different sources of literature, therefore this is the first book to coherently present this treatment of topics in one comprehensive volume.

Key features:

Contains a modern, streamlined presentation of classical topics, which are normally taught separately

Includes several advanced topics, such as the Belinfante energy-momentum tensor, the Weyl-Schouten theorem, the derivation of Noether currents for diffeomorphisms, and the definition of conserved integrals in general relativity

Focuses on the clear presentation of the mathematical notions and calculational technique

Über den Autor

Manousos Markoutsakis is the Director of AI and HPC (Europe) at DataDirect Networks Inc, where he is responsible for managing the company's engagements in industry and academic institutions. Previously, he worked at IBM, where he was responsible for the company's private-public collaborations in European research and industry. He graduated in physics at the University of Heidelberg, where he worked on nonperturbative QCD. Manousos is a member of the German Physical Society (DPG) and the Bitkom Association.

Inhaltsverzeichnis

1. Manifolds and Tensors. 2. Geometry and Integration on Manifolds. 3. Symmetries of Manifolds. 4. Newtonian Mechanics. 5. Lagrangian Methods and Symmetry. 6. Relativistic Mechanics. 7. Lie Groups. 8. Lie Algebras. 9. Representations. 10. Rotations and Euclidean Symmetry. 11. Boosts and Galilei Symmetry. 12. Lorentz Symmetry. 13. Poincare Symmetry. 14. Conformal Symmetry. 15. Lagrangians and Noether's Theorem. 16. Spacetime Symmetries of Fields. 17. Gauge Symmetry. 18. Connection and Geodesics. 19. Riemannian Curvature. 20. Symmetries of Riemannian Manifolds. 21. Einstein's Gravitation. 22. Lagrangian Formulation. 23. Conservation Laws and Further Symmetries.

Erscheinungsjahr:	2021
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Einband - fest (Hardcover)
ISBN-13:	9780367535230
ISBN-10:	0367535238
Sprache:	Englisch
Ausstattung / Beilage:	HC gerader Rücken kaschiert
Einband:	Gebunden
Autor:	Markoutsakis, Manousos
Hersteller:	CRC Press
Maße:	260 x 183 x 30 mm
Von/Mit:	Manousos Markoutsakis
Erscheinungsdatum:	29.12.2021
Gewicht:	1,095 kg

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