By Nadir Jeevanjee
The moment variation of this hugely praised textbook presents an advent to tensors, crew thought, and their functions in classical and quantum physics. either intuitive and rigorous, it goals to demystify tensors by means of 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 positive factors, reminiscent of 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 off with linear algebraic foundations, follows with the trendy component-free definition of tensors, and concludes with purposes to physics by utilizing tensor items. half II introduces team idea, together with summary teams and Lie teams and their linked Lie algebras, then intertwines this fabric with that of half I by means of introducing illustration theory. Examples and workouts are supplied in every one bankruptcy for reliable perform in making use of the awarded fabric and techniques.
Prerequisites for this article contain the normal lower-division arithmetic and physics classes, even though wide references are supplied for the prompted scholar who has now not but had these. complex 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 may support different physicists comprehend these matters [tensors and teams] as mathematicians comprehend them… From the 1st pages, Jeevanjee indicates outstanding ability to find clean, compelling phrases to convey ahead the perception that animates the trendy mathematical view…[W]ith compelling strength and readability, he offers many rigorously worked-out examples and well-chosen particular difficulties… Jeevanjee’s transparent and forceful writing provides favourite instances with a freshness that would attract and reassure even a frightened student. [This] is a masterpiece of exposition and rationalization that might win credits for even a pro author.”
"Jeevanjee’s [text] is a worthy piece of labor on a number of counts, together with its show 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 analogous phrases we use, yet with an ostensibly assorted meaning. The publication is so easy to learn, very undemanding, jam-packed with examples...and workouts, and should do the task 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