By Nadir Jeevanjee
The moment variation of this hugely praised textbook offers an creation to tensors, crew conception, and their functions 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 factors, corresponding to new illustrations, tables, and boxed sections, in addition to extra “invitation” sections that supply obtainable 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 utilizing tensor items. half II introduces workforce 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 strong perform in using the awarded fabric and techniques.
Prerequisites for this article contain the traditional lower-division arithmetic and physics classes, notwithstanding huge references are supplied for the influenced 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 interesting creation to tensors and groups.
Reviews of the 1st Edition
“[P]hysicist Nadir Jeevanjee has produced a masterly ebook that might support different physicists comprehend these matters [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 provides general situations with a freshness that would attract and reassure even a apprehensive student. [This] is a masterpiece of exposition and clarification that will win credits for even a pro author.”
"Jeevanjee’s [text] is a worthy piece of labor on numerous counts, together with its convey pedagogical provider rendered to fledgling physicists and the truth that it does certainly provide natural mathematicians the way to come to phrases with what physicists are announcing with a similar phrases we use, yet with an ostensibly diverse meaning. The booklet is really easy to learn, very uncomplicated, packed with examples...and workouts, and should do the task the writer desires it to do with style.”
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Extra resources for An Introduction to Tensors and Group Theory for Physicists
An Introduction to Tensors and Group Theory for Physicists by Nadir Jeevanjee