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 yr of his habilitation, in 1963, he received a place on the Katowice department of the Jagiellonian college (now college of Silesia, Katowice), and labored there until his death.
Besides his a number of administrative positions and his amazing educating job, he comprehensive first-class 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 institution of sensible equations and inequalities.
"The moment half the name of this e-book describes its contents correctly. most likely even the main dedicated professional should not have concept that approximately three hundred pages should be written with reference to the Cauchy equation (and on a few heavily comparable equations and inequalities). And the ebook is on no account chatty, and doesn't even declare completeness. half I lists the necessary initial wisdom in set and degree concept, 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 bargains with similar equations and inequalities (in specific, Pexider, Hosszú, and conditional equations, derivations, convex features of upper order, subadditive features and balance theorems). It concludes with an expedition into the sector of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews)
"This ebook is a true vacation for all of the mathematicians independently in their strict speciality. it is easy to think what deliciousness represents this ebook for sensible 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
The purpose of this ebook is to version a number of species foodstuff chain in 3 dimensions utilizing approach of Lotka-Volterra equations often referred to as the predator–prey equations. the results of various parameters in Lotka-Volterra equations which reason alterations in inhabitants dynamics are tested rigorously. The influence on inhabitants dynamics because of those parametric alterations within the structures are studied inside invariant surfaces and, when it comes to balance, in the community of equilibrium issues.
The ? rst six chapters of this publication are revised models of a similar chapters within the author’s 1969 ebook, creation to capability conception. Atthetimeof the writing of that booklet, I had entry to very good articles,books, and lecture notes via M. Brelot. The readability of those works made the duty of collating them right into a unmarried physique a lot more uncomplicated.
Transseries are formal items created from an infinitely huge variable x and the reals utilizing countless summation, exponentiation and logarithm. they're appropriate for modeling "strongly monotonic" or "tame" asymptotic suggestions to differential equations and locate their beginning in a minimum of 3 various parts of arithmetic: research, version idea and desktop algebra.
This monograph discusses modeling, adaptive discretisation thoughts and the numerical answer of fluid-structure interplay. An emphasis lies on leading edge discretisation and high-resolution interface options, and phase-field versions. the second one half covers effective and strong numerical suggestions and multi-physics difficulties.
- Green's Kernels and Meso-Scale Approximations in Perforated Domains (Lecture Notes in Mathematics)
- Exterior Analysis: Using Applications of Differential Forms
- Analysis II (Mathematik Kompakt) (German Edition)
- Three Courses on Partial Differential Equations (IRMA Lectures in Mathematics and Theoretical Physics)
- High-Order Methods for Incompressible Fluid Flow (Cambridge Monographs on Applied and Computational Mathematics)
- Statistical Methods for Stochastic Differential Equations (Chapman & Hall/CRC Monographs on Statistics & Applied Probability)
Additional 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