An Introduction to Tensors and Group Theory for Physicists / Birkhäuser (PDF)
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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.
- Autor: Nadir Jeevanjee
- 2011, 2011, 242 Seiten, Englisch
- Verlag: Springer Basel AG
- ISBN-10: 0817647155
- ISBN-13: 9780817647155
- Erscheinungsdatum: 26.08.2011
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- Dateiformat: PDF
- Größe: 2.50 MB
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—Physics Today
"Jeevanjee’s An Introduction to Tensors and Group Theory for Physicists is a valuable piece of work on several counts, including its express pedagogical service rendered to fledgling physicists and the fact that it does indeed give pure mathematicians a way to come to terms with what physicists are saying with the same words we use, but with an ostensibly different meaning: it’s the same meat and potatoes, really, but the flavoring is all different.
Oh yes, one more thing. The book is very easy to read, very user-friendly, full of examples...and exercises, and will do the job the author wants it to do with style. I am indeed going to use it myself, hopefully to great advantage, in my upcoming dealings with my working-group."
—MAA Reviews
“The book is divided into two distinct parts, the first one (Chapters 1-3) dealing with linear algebra and tensors, the second focusing on group theory in physics (Chapter 4-6). … provide a solid background for students, helping them to understand the more advanced literature on the subject without formal difficulties. … this book not only fills a considerable pedagogical gap in the physical and mathematical literature, but also shows to what extent the material arises naturally within any consistent model of natural phenomena.” (Rutwig Campoamor-Stursberg, Mathematical Reviews, Issue 2012 i)
“The aim of the monograph is to fill a definite gap in literature by connecting the component formalism intrinsic to physical computations to the abstract but more conceptual formulations of mathematical literature and to present interconnections between tensor analysis and group theory, to demonstrate their physical applications. … It is destined for students of advanced-undergraduate level. … Every chapter in endowed by exercises and problems.” (Boris V. Loginov, Zentralblatt MATH, Vol. 1229, 2012)
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