An Introduction to Tensors and Group Theory for Physicists by Nadir Jeevanjee

By Nadir Jeevanjee

The moment variation of this hugely praised textbook offers an creation to tensors, staff conception, and their functions in classical and quantum physics. either intuitive and rigorous, it goals to demystify tensors through 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, equivalent to new illustrations, tables, and boxed sections, in addition to extra “invitation” sections that offer 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 fashionable component-free definition of tensors, and concludes with purposes to physics by using tensor items. half II introduces team concept, together with summary teams and Lie teams and their linked Lie algebras, then intertwines this fabric with that of half I via introducing illustration theory.  Examples and routines are supplied in each one bankruptcy for stable perform in making use of the provided fabric and techniques.

Prerequisites for this article contain the normal lower-division arithmetic and physics classes, even though wide references are supplied for the influenced scholar 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 publication that may aid different physicists comprehend these topics [tensors and teams] as mathematicians comprehend them… From the 1st pages, Jeevanjee indicates impressive ability to find clean, compelling phrases to deliver 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 primary instances with a freshness that would attract and reassure even a apprehensive student.  [This] is a masterpiece of exposition and rationalization that might win credits for even a professional author.”

—Physics Today

"Jeevanjee’s [text] is a necessary 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 asserting with an analogous phrases we use, yet with an ostensibly varied meaning.  The booklet is so easy to learn, very effortless, choked with examples...and workouts, and should do the task the writer desires it to do with style.”

—MAA Reviews

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