'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,
Bäcklund 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, Painlevé
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.
