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)


 

Show description

Read or Download An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality PDF

Similar differential equations books

Solution Techniques for Elementary Partial Differential Equations, Second Edition (Chapman Hall/CRC Mathematics Series)

Incorporating a few improvements, answer innovations for common Partial Differential Equations, moment variation provides the most vital and time-honored equipment for fixing partial differential equations (PDEs). The recommendations lined contain separation of variables, approach to features, eigenfunction enlargement, Fourier and Laplace alterations, Green’s features, perturbation tools, and asymptotic research.

The Universality of the Radon Transform (Oxford Mathematical Monographs)

Written through a number one student in arithmetic, this monograph discusses the Radon rework, a box that has large ranging purposes to X-ray know-how, partial differential equations, nuclear magnetic resonance scanning, and tomography. during this ebook, Ehrenpreis specializes in contemporary learn and highlights the powerful courting among high-level natural arithmetic and purposes of the Radon remodel to parts reminiscent of clinical imaging.

Abstract Parabolic Evolution Equations and their Applications (Springer Monographs in Mathematics)

This monograph is meant to provide the basics of the speculation of summary parabolic evolution equations and to teach the right way to follow to numerous nonlinear dif- sion equations and structures coming up in technology. the idea offers us a uni? ed and s- tematic therapy for concrete nonlinear diffusion types.

Scientific Computing and Differential Equations: An Introduction to Numerical Methods

Clinical Computing and Differential Equations: An advent to Numerical tools, is a wonderful supplement to advent to Numerical equipment by means of Ortega and Poole. The e-book emphasizes the significance of fixing differential equations on a working laptop or computer, which includes a wide a part of what has grow to be referred to as medical computing.

Additional resources for An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality

Sample text

Download PDF sample

Rated 4.47 of 5 – based on 4 votes