By Constantin P. Niculescu, Lars-Erik Persson (auth.)
Convex capabilities play a huge function in lots of branches of arithmetic, in addition to different components of technological know-how and engineering. the current textual content is aimed to a radical creation to modern convex functionality thought, which includes a strong and chic interplay among research and geometry. a wide number of matters are coated, from one actual variable case (with all its mathematical gem stones) to a few of the main complicated themes comparable to the convex calculus, Alexandrov’s Hessian, the variational process of partial differential equations, the Prékopa-Leindler variety inequalities and Choquet's conception.
This publication can be utilized for a one-semester graduate path on Convex services and functions, and likewise as a beneficial reference and resource of notion for researchers operating with convexity. the one necessities are a heritage in complex calculus and linear algebra. each one part ends with workouts, whereas each one bankruptcy ends with reviews masking supplementary fabric and ancient details. Many effects are new, and the complete publication displays the authors’ personal event, either in instructing and research.
About the authors:
Constantin P. Niculescu is a Professor within the division of arithmetic on the collage of Craiova, Romania. Dr. Niculescu directs the Centre for Nonlinear research and Its purposes and likewise the graduate software in utilized arithmetic at Craiova. He acquired his doctorate from the college of Bucharest in 1974. He released in Banach area thought, Convexity Inequalities and Dynamical platforms, and has obtained numerous prizes either for study and exposition.
Lars Erik Persson is Professor of arithmetic at Luleå college of know-how and Uppsala collage, Sweden. he's the director of heart of utilized arithmetic at Luleå, a member of the Swedish nationwide Committee of arithmetic on the Royal Academy of Sciences, and served as President of the Swedish Mathematical Society (1996-1998). He got his doctorate from Umeå collage in 1974. Dr. Persson has released on interpolation of operators, Fourier research, functionality conception, inequalities and homogenization thought. He has got a number of prizes either for examine and teaching.
Read Online or Download Convex Functions and Their Applications: A Contemporary Approach PDF
Similar Contemporary books
The Promise in a Kiss (A Cynster Christmas Special)
What could you do in the event you have been kissed by means of the main good-looking stranger you would ever noticeable? And what if that guy used to be a Cynster? each girl—even convent-educated ones—dreams of forbidden kisses. So whilst a guy actually falls at Helena's ft as she's strolling in the course of the courtyard one moonlit Christmas Eve, the beautiful, younger comtesse d'Lisle is familiar with he is as much as no sturdy.
A band of brothers, devoted simply to one another, rides the waves, battling for the top bidder, treading the whale highway looking for mythical relics. lifestyles is savage aboard a Viking raiding send. while Orm Rurikson is plucked from the snows of Norway to courageous the seas at the Fjord Elk, he turns into an not likely member of the infamous group.
As quiet and hazardous as a jungle cat, attaining the most unlikely is one among Luc Garnier's defining features. Princess Gabrielle is invaluable--a pearl past cost. but Luc has defied the percentages, and a freelance for marriage is drawn up. this can be a union on paper first, and within the bed room later.
Additional resources for Convex Functions and Their Applications: A Contemporary Approach