By Marek Kuczma,Attila Gilányi

Marek Kuczma was once born in 1935 in Katowice, Poland, and died there in 1991.

After completing highschool in his domestic city, he studied on the Jagiellonian collage in Kraków. He defended his doctoral dissertation below the supervision of Stanislaw Golab. within the 12 months of his habilitation, in 1963, he acquired a place on the Katowice department of the Jagiellonian college (now collage of Silesia, Katowice), and labored there until his death.

Besides his a number of administrative positions and his remarkable educating task, he entire very good and wealthy medical paintings publishing 3 monographs and one hundred eighty medical papers.

He is taken into account to be the founding father of the prestigious Polish college of practical equations and inequalities.

"The moment 1/2 the identify of this booklet describes its contents effectively. most likely even the main committed expert wouldn't have proposal that approximately three hundred pages should be written with regards to the Cauchy equation (and on a few heavily comparable equations and inequalities). And the publication is on no account chatty, and doesn't even declare completeness. half I lists the mandatory initial wisdom in set and degree concept, topology and algebra. half II supplies info on recommendations of the Cauchy equation and of the Jensen inequality [...], particularly on non-stop convex services, Hamel bases, on inequalities following from the Jensen inequality [...]. half III offers with comparable equations and inequalities (in specific, Pexider, Hosszú, and conditional equations, derivations, convex services of upper order, subadditive capabilities and balance theorems). It concludes with an day trip into the sphere of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews)

"This publication is a true vacation for all of the mathematicians independently in their strict speciality. you possibly can think what deliciousness represents this e-book for useful equationists." (B. Crstici, Zentralblatt für Mathematik)