Geometry, symmetries, and classical physics a mosaic / Manousos Markoutsakis.

Author/creator Markoutsakis, Manousos
Format Electronic
EditionFirst edition.
Publication InfoBoca Raton : CRC Press, Taylor & Francis Group, 2022.
Description1 online resource (xiii, 467 pages)
Supplemental ContentFull text available from Taylor & Francis eBooks
Subjects

Contents 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 -- Appendices.
Abstract 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.-- Provided by publisher.
Bibliography noteIncludes bibliographical references and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Biographical noteManousos 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.
Source of descriptionPrint version record.
Issued in other formPrint version: Markoutsakis, Manousos. Geometry, symmetries, and classical physics. Boca Raton : CRC Press, 2022 9780367535230
Genre/formElectronic books.
LCCN 2021762575
ISBN9781003087748 (electronic book)
ISBN1003087744 (electronic book)
ISBN9781000530261 (EPUB)
ISBN1000530264 (EPUB)
ISBN9781000530247 (PDF)
ISBN1000530248 (PDF)
ISBN(hardback)
ISBN(hardback)
ISBN(paperback)
ISBN(paperback)
Standard identifier# 10.1201/9781003087748
Stock number9781003087748 Taylor & Francis

Availability

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Electronic Resources Access Content Online ✔ Available