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 less than 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 college of Silesia, Katowice), and labored there until eventually his death.
Besides his a number of administrative positions and his impressive instructing job, he comprehensive very good and wealthy medical paintings publishing 3 monographs and one hundred eighty clinical papers.
He is taken into account to be the founding father of the distinguished Polish tuition of practical equations and inequalities.
"The moment half the name of this ebook describes its contents effectively. most likely even the main dedicated professional wouldn't have proposal that approximately three hundred pages will be written with regards to the Cauchy equation (and on a few heavily comparable 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 options 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 similar equations and inequalities (in specific, Pexider, Hosszú, and conditional equations, derivations, convex features of upper order, subadditive services and balance theorems). It concludes with an day trip 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 useful equationists." (B. Crstici, Zentralblatt für Mathematik)
Read or Download An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality PDF
Best differential equations books
Authored via recognized researchers, this booklet provides its fabric as obtainable surveys, giving readers entry to finished assurance of effects scattered in the course of the literature. a special resource of data for graduate scholars and researchers in arithmetic and theoretical physics, and engineers attracted to the topic.
This is often half II of my own research notes in complicated arithmetic. It includes theoretical research, solved examples, and workouts at the following topics:9. services of advanced VariableIntroduction to complicated numbersThe genuine and imaginary elements of a posh numberModulus and Argument of a fancy numberComplex quantity as vectorsCartesian and Polar illustration of advanced numbersPure actual and Imaginary numbersRepresentation of advanced numbers on a Riemann SphereAlgebraic operations on complicated numbers.
This self-contained e-book offers systematic instructive research of doubtful platforms of the next varieties: traditional differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. each one bankruptcy comprises new stipulations of balance of unperturbed movement of the above-mentioned kind of equations, besides a few functions.
This publication is on life and worthy stipulations, equivalent to Potryagin's greatest precept, for optimum keep watch over difficulties defined through traditional and partial differential equations. those helpful stipulations are acquired from Kuhn–Tucker theorems for nonlinear programming difficulties in limitless dimensional areas.
- Handbook of Differential Equations: Ordinary Differential Equations: 1
- The Universality of the Radon Transform (Oxford Mathematical Monographs)
- Stochastic Modelling in Process Technology: 211 (Mathematics in Science and Engineering)
- Ordinary and Partial Differential Equations for the Beginner
- Gewöhnliche Differentialgleichungen: Eine Einführung mit Beispielen, Aufgaben und Musterlösungen (German Edition)
Extra resources for An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality
An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality by Marek Kuczma,Attila Gilányi