The second edition of this highly praised textbook provides an
introduction to tensors, group theory, and their applications in
classical and quantum physics. Both intuitive and rigorous, it aims
to demystify tensors by giving the slightly more abstract but
conceptually much clearer definition found in the math literature,
and then connects this formulation to the component formalism of
physics calculations. New pedagogical features, such as new
illustrations, tables, and boxed sections, as well as additional
"invitation" sections that provide accessible introductions to new
material, offer increased visual engagement, clarity, and
motivation for students. Part I begins with linear algebraic
foundations, follows with the modern component-free definition of
tensors, and concludes with applications to physics through the use
of tensor products. Part II introduces group theory, including
abstract groups and Lie groups and their associated Lie algebras,
then intertwines this material with that of Part I by introducing
representation theory. Examples and exercises are provided in each
chapter for good practice in applying the presented material and
techniques. Prerequisites for this text include the standard
lower-division mathematics and physics courses, though extensive
references are provided for the motivated student who has not yet
had these. Advanced undergraduate and beginning graduate students
in physics and applied mathematics will find this textbook to be a
clear, concise, and engaging introduction to tensors and groups.
Reviews of the First Edition "[P]hysicist Nadir Jeevanjee has
produced a masterly book that will help other physicists understand
those subjects [tensors and groups] as mathematicians understand
them... From the first pages, Jeevanjee shows amazing skill in
finding fresh, compelling words to bring forward the insight that
animates the modern mathematical view...[W]ith compelling force and
clarity, he provides many carefully worked-out examples and
well-chosen specific problems... Jeevanjee's clear and forceful
writing presents familiar cases with a freshness that will draw in
and reassure even a fearful student. [This] is a masterpiece of
exposition and explanation that would win credit for even a
seasoned author." -Physics Today "Jeevanjee's [text] is a valuable
piece of work on several counts, including its express pedagogical
service rendered to fledgling physicists and the fact that it does
indeed give pure mathematicians a way to come to terms with what
physicists are saying with the same words we use, but with an
ostensibly different meaning. The book is very easy to read, very
user-friendly, full of examples...and exercises, and will do the
job the author wants it to do with style." -MAA Reviews
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