An Introduction to Tensors and Group Theory for Physicists
Seiten
2011
|
2011 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-4714-8 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-4714-8 (ISBN)
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This textbook offers an intuitive and rigorous approach to tensors and their role in theoretical physics and applied mathematics. It demystifies tensors and provides a unified framework for understanding them in the context of classical and quantum physics.
An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystify tensors and provide a unified framework for understanding them in the context of classical and quantum physics. Connecting the component formalism prevalent in physics calculations with the abstract but more conceptual formulation found in many mathematical texts, the work will be a welcome addition to the literature on tensors and group theory. Advanced undergraduate and graduate students in physics and applied mathematics will find clarity and insight into the subject in this textbook.
An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystify tensors and provide a unified framework for understanding them in the context of classical and quantum physics. Connecting the component formalism prevalent in physics calculations with the abstract but more conceptual formulation found in many mathematical texts, the work will be a welcome addition to the literature on tensors and group theory. Advanced undergraduate and graduate students in physics and applied mathematics will find clarity and insight into the subject in this textbook.
Part I Linear Algebra and Tensors.- A Quick Introduction to Tensors.- Vector Spaces.- Tensors.- Part II Group Theory.- Groups, Lie Groups, and Lie Algebras.- Basic Representation Theory.- The Winger-Echart Theorem and Other Applications.- Appendix Complexifications of Real Lie Algebras and the Tensor Product Decomposition of sl(2,C)R.- References.- Index.
| Erscheint lt. Verlag | 26.8.2011 |
|---|---|
| Zusatzinfo | 12 black & white illustrations, biography |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 542 g |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Naturwissenschaften ► Physik / Astronomie | |
| Schlagworte | antisymmetric tensors • Linear Operators • symmetric tensors • Tensor Products |
| ISBN-10 | 0-8176-4714-7 / 0817647147 |
| ISBN-13 | 978-0-8176-4714-8 / 9780817647148 |
| Zustand | Neuware |
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