By Nadir Jeevanjee
The moment version of this hugely praised textbook offers an creation to tensors, workforce thought, and their functions in classical and quantum physics. either intuitive and rigorous, it goals to demystify tensors through giving the marginally extra summary yet conceptually a lot clearer definition present in the maths literature, after which connects this formula to the part formalism of physics calculations. New pedagogical beneficial properties, similar to new illustrations, tables, and boxed sections, in addition to extra “invitation” sections that offer obtainable introductions to new fabric, supply elevated visible engagement, readability, and motivation for students.
Part I starts with linear algebraic foundations, follows with the trendy component-free definition of tensors, and concludes with purposes to physics by using tensor items. half II introduces team concept, together with summary teams and Lie teams and their linked Lie algebras, then intertwines this fabric with that of half I through introducing illustration theory. Examples and workouts are supplied in each one bankruptcy for reliable perform in using the provided fabric and techniques.
Prerequisites for this article contain the normal lower-division arithmetic and physics classes, even though vast references are supplied for the influenced scholar who has now not but had these. complicated undergraduate and starting graduate scholars in physics and utilized arithmetic will locate this textbook to be a transparent, concise, and fascinating creation to tensors and groups.
Reviews of the 1st Edition
“[P]hysicist Nadir Jeevanjee has produced a masterly publication that might aid different physicists comprehend these topics [tensors and teams] as mathematicians comprehend them… From the 1st pages, Jeevanjee indicates extraordinary ability to find clean, compelling phrases to carry ahead the perception that animates the trendy mathematical view…[W]ith compelling strength and readability, he presents many conscientiously worked-out examples and well-chosen particular difficulties… Jeevanjee’s transparent and forceful writing offers accepted situations with a freshness that might attract and reassure even a nervous student. [This] is a masterpiece of exposition and clarification that may win credits for even a professional author.”
"Jeevanjee’s [text] is a useful piece of labor on a number of counts, together with its convey pedagogical carrier rendered to fledgling physicists and the truth that it does certainly provide natural mathematicians the way to come to phrases with what physicists are announcing with an analogous phrases we use, yet with an ostensibly diverse meaning. The e-book is really easy to learn, very simple, packed with examples...and routines, and should do the activity the writer desires it to do with style.”
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Extra info for An Introduction to Tensors and Group Theory for Physicists
An Introduction to Tensors and Group Theory for Physicists by Nadir Jeevanjee