Marek Kuczma was born in 1935 in Katowice, Poland, and died
there in 1991.
After finishing high school in his home town, he studied at the
Jagiellonian University in Krakow. He defended his doctoral
dissertation under the supervision of Stanislaw Golab. In the year
of his habilitation, in 1963, he obtained a position at the
Katowice branch of the Jagiellonian University (now University of
Silesia, Katowice), and worked there till his death.
Besides his several administrative positions and his outstanding
teaching activity, he accomplished excellent and rich scientific
work publishing three monographs and 180 scientific papers.
He is considered to be the founder of the celebrated Polish
school of functional equations and inequalities.
"The second half of the title of this book describes its
contents adequately. Probably even the most devoted specialist
would not have thought that about 300 pages can be written just
about the Cauchy equation (and on some closely related equations
and inequalities). And the book is by no means chatty, and does not
even claim completeness. Part I lists the required preliminary
knowledge in set and measure theory, topology and algebra. Part II
gives details on solutions of the Cauchy equation and of the Jensen
inequality ...], in particular on continuous convex functions,
Hamel bases, on inequalities following from the Jensen inequality
...]. Part III deals with related equations and inequalities (in
particular, Pexider, Hosszu, and conditional equations,
derivations, convex functions of higher order, subadditive
functions and stability theorems). It concludes with an excursion
into the field of extensions of homomorphisms in general." (Janos
Aczel, Mathematical Reviews)
"This book is a real holiday for all the mathematicians
independently of their strict speciality. One can imagine what
deliciousness represents this book for functional equationists."
(B. Crstici, Zentralblatt fur Mathematik)
"
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