By Nadir Jeevanjee
The moment variation of this hugely praised textbook offers an advent to tensors, staff idea, 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 gains, resembling new illustrations, tables, and boxed sections, in addition to extra “invitation” sections that offer available introductions to new fabric, provide elevated visible engagement, readability, and motivation for students.
Part I starts off with linear algebraic foundations, follows with the fashionable component-free definition of tensors, and concludes with purposes to physics by utilizing tensor items. half II introduces crew idea, 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 solid perform in utilising the offered fabric and techniques.
Prerequisites for this article contain the traditional lower-division arithmetic and physics classes, notwithstanding wide references are supplied for the prompted pupil 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 interesting advent 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 matters [tensors and teams] as mathematicians comprehend them… From the 1st pages, Jeevanjee indicates remarkable ability find clean, compelling phrases to convey ahead the perception that animates the fashionable mathematical view…[W]ith compelling strength and readability, he offers many conscientiously worked-out examples and well-chosen particular difficulties… Jeevanjee’s transparent and forceful writing provides popular circumstances with a freshness that would attract and reassure even a worried student. [This] is a masterpiece of exposition and rationalization that might win credits for even a pro author.”
"Jeevanjee’s [text] is a precious 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 how to come to phrases with what physicists are asserting with a similar phrases we use, yet with an ostensibly varied meaning. The publication is really easy to learn, very ordinary, choked with examples...and workouts, and may do the task the writer desires it to do with style.”
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