By Nadir Jeevanjee
The moment version of this hugely praised textbook offers an creation to tensors, team idea, 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 maths 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, 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 functions to physics by using tensor items. half II introduces workforce conception, together with summary teams and Lie teams and their linked Lie algebras, then intertwines this fabric with that of half I through introducing illustration theory. Examples and routines are supplied in every one bankruptcy for solid perform in utilizing the awarded fabric and techniques.
Prerequisites for this article comprise the traditional lower-division arithmetic and physics classes, notwithstanding large references are supplied for the stimulated 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 may support different physicists comprehend these matters [tensors and teams] as mathematicians comprehend them… From the 1st pages, Jeevanjee exhibits outstanding ability find clean, compelling phrases to convey 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 customary situations with a freshness that might attract and reassure even a nervous student. [This] is a masterpiece of exposition and rationalization that might win credits for even a pro author.”
"Jeevanjee’s [text] is a useful piece of labor on numerous counts, together with its exhibit 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 diversified meaning. The publication is really easy to learn, very hassle-free, choked with examples...and routines, and should do the activity the writer wishes it to do with style.”
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