By Nadir Jeevanjee
The moment variation of this hugely praised textbook offers an creation to tensors, team concept, and their purposes 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 gains, akin to new illustrations, tables, and boxed sections, in addition to extra “invitation” sections that offer available introductions to new fabric, supply elevated visible engagement, readability, and motivation for students.
Part I starts with linear algebraic foundations, follows with the fashionable component-free definition of tensors, and concludes with functions to physics by using tensor items. half II introduces staff thought, 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 workouts are supplied in each one bankruptcy for sturdy perform in making use of the awarded fabric and techniques.
Prerequisites for this article comprise the normal lower-division arithmetic and physics classes, even though wide references are supplied for the inspired scholar 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 interesting advent to tensors and groups.
Reviews of the 1st Edition
“[P]hysicist Nadir Jeevanjee has produced a masterly ebook that may support different physicists comprehend these matters [tensors and teams] as mathematicians comprehend them… From the 1st pages, Jeevanjee exhibits extraordinary ability to 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 offers widespread situations with a freshness that might attract and reassure even a apprehensive student. [This] is a masterpiece of exposition and clarification that may win credits for even a pro author.”
"Jeevanjee’s [text] is a worthy piece of labor on a number of counts, together with its convey pedagogical provider rendered to fledgling physicists and the truth that it does certainly supply 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 really easy to learn, very elementary, filled with examples...and workouts, and should do the activity the writer desires it to do with style.”
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Additional resources for An Introduction to Tensors and Group Theory for Physicists
An Introduction to Tensors and Group Theory for Physicists by Nadir Jeevanjee