Marek Kuczma,Attila Gilányi's An Introduction to the Theory of Functional Equations and PDF

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 college in Kraków. He defended his doctoral dissertation less than the supervision of Stanislaw Golab. within the yr of his habilitation, in 1963, he received 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 extraordinary instructing task, he complete very good and wealthy clinical paintings publishing 3 monographs and one hundred eighty medical papers.

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

"The moment 1/2 the name of this ebook describes its contents safely. most likely even the main dedicated professional should not have idea that approximately three hundred pages will be written near to the Cauchy equation (and on a few heavily similar equations and inequalities). And the publication is in no way 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 strategies 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 comparable equations and inequalities (in specific, Pexider, Hosszú, and conditional equations, derivations, convex capabilities of upper order, subadditive features and balance theorems). It concludes with an expedition into the sphere of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews)

"This ebook is a true vacation for the entire mathematicians independently in their strict speciality. you can think what deliciousness represents this ebook for useful equationists." (B. Crstici, Zentralblatt für Mathematik)


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An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality by Marek Kuczma,Attila Gilányi

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