By Nadir Jeevanjee
The moment version of this hugely praised textbook offers an advent to tensors, team thought, and their purposes in classical and quantum physics. either intuitive and rigorous, it goals to demystify tensors by way 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 aspects, comparable to new illustrations, tables, and boxed sections, in addition to extra “invitation” sections that supply obtainable introductions to new fabric, provide 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 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 workouts are supplied in every one bankruptcy for sturdy perform in utilizing the offered fabric and techniques.
Prerequisites for this article contain the traditional lower-division arithmetic and physics classes, even though broad references are supplied for the influenced pupil who has no longer but had these. complex undergraduate and starting graduate scholars in physics and utilized arithmetic will locate this textbook to be a transparent, concise, and interesting creation 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 topics [tensors and teams] as mathematicians comprehend them… From the 1st pages, Jeevanjee indicates extraordinary ability find clean, compelling phrases to convey ahead the perception that animates the trendy 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 usual situations with a freshness that would attract and reassure even a frightened student. [This] is a masterpiece of exposition and clarification that will win credits for even a professional author.”
"Jeevanjee’s [text] is a precious piece of labor on numerous counts, together with its convey pedagogical carrier 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 diverse meaning. The e-book is so easy to learn, very straight forward, choked with examples...and routines, and may do the task the writer wishes it to do with style.”
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