An Introduction to Tensors and Group Theory for Physicists by Nadir Jeevanjee

By Nadir Jeevanjee

The moment variation 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 via giving the marginally extra summary yet conceptually a lot clearer definition present in the mathematics literature, after which connects this formula to the part formalism of physics calculations. New pedagogical gains, comparable to new illustrations, tables, and boxed sections, in addition to extra “invitation” sections that supply available introductions to new fabric, provide 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 crew conception, together with summary teams and Lie teams and their linked Lie algebras, then intertwines this fabric with that of half I by way of introducing illustration theory.  Examples and routines are supplied in each one bankruptcy for reliable perform in employing the offered fabric and techniques.

Prerequisites for this article comprise the normal lower-division arithmetic and physics classes, although broad references are supplied for the inspired pupil who has no longer 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 advent to tensors and groups.

Reviews of the 1st Edition

“[P]hysicist Nadir Jeevanjee has produced a masterly e-book that might aid different physicists comprehend these topics [tensors and teams] as mathematicians comprehend them… From the 1st pages, Jeevanjee indicates outstanding ability find clean, compelling phrases to carry 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 offers customary situations with a freshness that would attract and reassure even a nervous student.  [This] is a masterpiece of exposition and rationalization that may win credits for even a pro author.”

—Physics Today

"Jeevanjee’s [text] is a invaluable 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 how to come to phrases with what physicists are announcing with an identical phrases we use, yet with an ostensibly varied meaning.  The booklet is really easy to learn, very easy, jam-packed with examples...and workouts, and may do the activity the writer desires it to do with style.”

—MAA Reviews

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