By Nadir Jeevanjee
The moment version of this hugely praised textbook presents an creation to tensors, workforce concept, and their purposes in classical and quantum physics. either intuitive and rigorous, it goals to demystify tensors via 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 good points, similar to new illustrations, tables, and boxed sections, in addition to extra “invitation” sections that supply obtainable introductions to new fabric, supply elevated visible engagement, readability, and motivation for students.
Part I starts off with linear algebraic foundations, follows with the trendy component-free definition of tensors, and concludes with functions to physics by utilizing tensor items. half II introduces workforce 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 strong perform in utilising the provided fabric and techniques.
Prerequisites for this article contain the normal lower-division arithmetic and physics classes, even though wide references are supplied for the encouraged 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 booklet that may aid different physicists comprehend these matters [tensors and teams] as mathematicians comprehend them… From the 1st pages, Jeevanjee indicates notable ability find clean, compelling phrases to deliver ahead the perception that animates the fashionable 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 provides commonly used situations with a freshness that would attract and reassure even a worried student. [This] is a masterpiece of exposition and rationalization that may win credits for even a professional author.”
"Jeevanjee’s [text] is a important piece of labor on a number of counts, together with its exhibit pedagogical provider 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 identical phrases we use, yet with an ostensibly varied meaning. The e-book is so easy to learn, very basic, jam-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