By Marek Kuczma,Attila Gilányi

Marek Kuczma used to be 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 bought a place on the Katowice department of the Jagiellonian college (now collage of Silesia, Katowice), and labored there until eventually his death.

Besides his a number of administrative positions and his awesome instructing job, he finished first-class and wealthy clinical paintings publishing 3 monographs and one hundred eighty clinical papers.

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

"The moment 1/2 the identify of this booklet describes its contents properly. most likely even the main committed expert do not need concept that approximately three hundred pages may be written almost about the Cauchy equation (and on a few heavily similar equations and inequalities). And the publication is not at all chatty, and doesn't even declare completeness. half I lists the mandatory initial wisdom in set and degree thought, topology and algebra. half II offers information on recommendations of the Cauchy equation and of the Jensen inequality [...], particularly on non-stop convex capabilities, Hamel bases, on inequalities following from the Jensen inequality [...]. half III offers with similar equations and inequalities (in specific, Pexider, Hosszú, and conditional equations, derivations, convex capabilities 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 booklet is a true vacation for all of the mathematicians independently in their strict speciality. you'll think what deliciousness represents this booklet for sensible equationists." (B. Crstici, Zentralblatt für Mathematik)

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