Book Name: An Introduction to Tensors and Group Theory for Physicists 2nd Edition
Author: Nadir Jeevanjee
Publisher: Birkhäuser
ISBN: 3319147935
Year: 2015
Pages: 305
Language: English
File format: PDF
The next variant of the highly praised textbook gives an introduction to tensors, team theory, and their programs in quantum and classical physics. Both rigorous and intuitive, it intends to demystify tensors by providing the slightly more abstract but much clearer definition utilized from the mathematics literature, then joins this formula to the part formalism of physics calculations. New pedagogical features, including fresh examples, tables, and boxed segments, in addition to added”invitation” segments that provide accessible introductions to new stuff, provide enhanced visual involvement, clarity, and motivation for pupils.
Part I starts with linear algebraic foundations, follows together with the contemporary component-free definition of tensors, and finishes with applications to physics through using tensor products. Part II introduces group concept, such as abstract classes and Lie groups and their associated Lie algebras, then intertwines this substance together with that of Section I by introducing representation concept. Cases and exercises are provided in every chapter for good practice in implementing the presented material and processes.
Prerequisites with this text include the conventional lower-division math and mathematics classes, although extensive references are supplied for the motivated student who hasn’t yet experienced those.
“[P]hysicist Nadir Jeevanjee has generated a masterly novel to assist different physicists understand those topics [tensors and classes ] as mathematicians know them… In the very first pages, Jeevanjee shows excellent skill in locating new, persuasive phrases to bring forward the penetration that amuses the contemporary mathematical perspective…[W]ith persuasive force and clarity, he supplies many closely worked-out illustrations and well-chosen specific issues… Jeevanjee’s strong and clear writing gifts recognizable cases using a freshness which will draw and guarantee even a fearful pupil.
–Physics Today
“Jeevanjee’s [text]is a precious part of work on many counts, such as its state pedagogical service left to fledgling physicists and also how it will really provide pure mathematicians a means to come to terms with what physicists are saying using exactly the very same phrases we use, however using an apparently different significance. The book is quite easy to read, quite user-friendly, filled with illustrations. . .and exercises, and will do the task the writer wants it to perform with fashion.”
–MAA Reviews
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