By Constantin P. Niculescu, Lars-Erik Persson (auth.)
Convex services play a big function in lots of branches of arithmetic, in addition to different components of technology and engineering. the current textual content is aimed to an intensive advent to modern convex functionality thought, which involves a strong and stylish interplay among research and geometry. a wide number of matters are coated, from one actual variable case (with all its mathematical gemstones) to a few of the main complicated issues reminiscent of the convex calculus, Alexandrov’s Hessian, the variational strategy of partial differential equations, the Prékopa-Leindler style inequalities and Choquet's thought.
This e-book can be utilized for a one-semester graduate path on Convex services and functions, and likewise as a beneficial reference and resource of suggestion for researchers operating with convexity. the single necessities are a heritage in complicated calculus and linear algebra. each one part ends with workouts, whereas every one bankruptcy ends with reviews masking supplementary fabric and historic info. Many effects are new, and the total booklet displays the authors’ personal event, either in educating and research.
About the authors:
Constantin P. Niculescu is a Professor within the division of arithmetic on the college of Craiova, Romania. Dr. Niculescu directs the Centre for Nonlinear research and Its purposes and likewise the graduate application in utilized arithmetic at Craiova. He bought his doctorate from the college of Bucharest in 1974. He released in Banach area thought, Convexity Inequalities and Dynamical structures, and has acquired a number of prizes either for study and exposition.
Lars Erik Persson is Professor of arithmetic at Luleå college of know-how and Uppsala college, Sweden. he's the director of middle 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 bought his doctorate from Umeå collage in 1974. Dr. Persson has released on interpolation of operators, Fourier research, functionality concept, inequalities and homogenization conception. He has obtained a number of prizes either for study and teaching.
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