'This is an excellent, well-written and very comprehensive book
covering many topics of mathematics and physics. An exhaustive
collection of problems with detailed solutions that may be valuable
to students and young researchers in several fields, ranging from
Mathematics to Quantum Physics is presented ... I found the book
helpful in regards to several subjects that are not covered in
other mathematical physics introductory textbooks.'Contemporary
PhysicsThis updated and extended edition of the book combines the
topics provided in the two parts of the previous editions as well
as new topics. It is a comprehensive compilation covering most
areas in mathematical and theoretical physics. The book provides a
collection of problems together with their detailed solutions which
will prove to be valuable to students as well as to researchers in
the fields of mathematics, physics, engineering and other
sciences.Each chapter provides a short introduction with the
relevant definitions and notations. All relevant definitions are
given. The topics range in difficulty from elementary to advanced.
Almost all problems are solved in detail and most of the problems
are self-contained. Stimulating supplementary problems are also
provided in each chapter. Students can learn important principles
and strategies required for problem solving. Teachers will also
find this text useful as a supplement, since important concepts and
techniques are developed in the problems. Introductory problems for
both undergraduate and advanced undergraduate students are
provided. More advanced problems together with their detailed
solutions are collected, to meet the needs of graduate students and
researchers. Problems included cover new fields in theoretical and
mathematical physics such as tensor product, Lax representation,
Backlund transformation, soliton equations, Hilbert space theory,
uncertainty relation, entanglement, spin systems, Lie groups, Bose
system, Fermi systems differential forms, Lie algebra valued
differential forms, metric tensor fields, Hirota technique,
Painleve test, Bethe ansatz, Yang-Baxter relation, wavelets, gauge
theory, differential geometry, string theory, chaos, fractals,
complexity, ergodic theory, etc. A number of software
implementations are also provided.
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