Mathematics for Physicists (Dover
Books on Mathematics) by Andre
Krzywicki
A Very Good Book
Excellent text provides thorough background in mathematics needed to
understand today’s more advanced topics in physics and engineering.
Topics include theory of functions of a complex variable, linear vector
spaces, tensor calculus, Fourier series and transforms, special functions,
more. Rigorous theoretical development; problems solved in great detail.
Bibliography. 1967 edition.
Personal Review: Mathematics for Physicists (Dover Books on
Mathematics) by Andre Krzywicki
Dennery and Krzywicki is somewhat unusual in the sense that it puts
noticeable emphasis on the mathematical formalism and it

strives to give a broader picture of each topic instead of tedious algebraic
manipulations for solving certain special problems that might not be of
interest to everyone.
Moreover, the authors do not try to cover a very broad spectrum of topics
and rather focus on the formal aspects of fewer mathematical subjects.
Altough the book`s lacking of sections on group theory and differential
geometry might be seen as glaring omissions, it excels didactically in all
the topics it touches upon. Especially, its treatment of complex analysis
and orthogonal polynomials is absolutely exceptional.
For those who want to have a reference work that contains almost every
standard topic at senior undergraduate/beginning graduate level while not
taking the mathematical elegance and rigor as a priority, Arfken`s text
would be a better choice. For more advanced and up-to-date account of
mathematical methods, I would recommend Hassani`s (Mathematical
Physics) or Szekeres`s texts.
All in all, I find this text as an excellent work on graduate level
mathematical physics and refer it constantly for my work.
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