By Marek Kuczma
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 college in Kraków. He defended his doctoral dissertation lower than the supervision of Stanislaw Golab. within the yr of his habilitation, in 1963, he got a place on the Katowice department of the Jagiellonian collage (now collage of Silesia, Katowice), and labored there until eventually his death.
Besides his a number of administrative positions and his remarkable educating job, he entire first-class and wealthy clinical paintings publishing 3 monographs and a hundred and eighty clinical papers.
He is taken into account to be the founding father of the distinguished Polish university of sensible equations and inequalities.
"The moment 1/2 the identify of this e-book describes its contents appropriately. most likely even the main dedicated expert don't have suggestion that approximately three hundred pages might be written almost about the Cauchy equation (and on a few heavily similar equations and inequalities). And the ebook is not at all chatty, and doesn't even declare completeness. half I lists the necessary initial wisdom in set and degree concept, topology and algebra. half II supplies information on suggestions of the Cauchy equation and of the Jensen inequality [...], specifically on non-stop convex services, Hamel bases, on inequalities following from the Jensen inequality [...]. half III bargains with comparable equations and inequalities (in specific, Pexider, Hosszú, and conditional equations, derivations, convex features of upper order, subadditive capabilities and balance theorems). It concludes with an expedition into the sphere of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews)
"This e-book is a true vacation for the entire mathematicians independently in their strict speciality. you'll think what deliciousness represents this booklet for sensible equationists." (B. Crstici, Zentralblatt für Mathematik)