Convex functions and their applications : a contemporary approach
Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text is aimed to a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A l...
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| 主要な著者: | , |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2006. |
| シリーズ: | Canadian Mathematical Society
|
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Description d'après consultation du 16 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Convex Functions and their Applications, Texte imprimé, 9781441920287 • Computational synthetic geometry, Jürgen Bokowski, Bernd Sturmfels, 1989, Berlin, Springer, 1 volume (168 pages), Lecture notes in mathematics, 3-540-50478-8 • Convex functions and their applications, a contemporary approach, Constantin Niculescu, Lars-Erik Persson, 2006, New York, Springer, 1 vol. (XVI-255 p.), CMS books in mathematics, 0-387-24300-3 |
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| 100 | 1 | |a Niculescu, Constantin P. | |
| 245 | 1 | 0 | |a Convex functions and their applications : |b a contemporary approach |c Constantin P. Niculescu, Lars-Erik Persson. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Canadian Mathematical Society |x 2197-4152 | |
| 500 | |a Description d'après consultation du 16 mars 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 241-252. Index | ||
| 505 | 1 | |a Convex Functions on Intervals Comparative Convexity on Intervals Convex Functions on a Normed Linear Space Choquet s Theory and Beyond | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text is aimed to a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A large variety of subjects are covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as the convex calculus, Alexandrov s Hessian, the variational approach of partial differential equations, the Prékopa-Leindler type inequalities and Choquet's theory. This book can be used for a one-semester graduate course on Convex Functions and Applications, and also as a valuable reference and source of inspiration for researchers working with convexity. The only prerequisites are a background in advanced calculus and linear algebra. Each section ends with exercises, while each chapter ends with comments covering supplementary material and historical information. Many results are new, and the whole book reflects the authors own experience, both in teaching and research. About the authors: Constantin P. Niculescu is a Professor in the Department of Mathematics at the University of Craiova, Romania. Dr. Niculescu directs the Centre for Nonlinear Analysis and Its Applications and also the graduate program in Applied Mathematics at Craiova. He received his doctorate from the University of Bucharest in 1974. He published in Banach Space Theory, Convexity Inequalities and Dynamical Systems, and has received several prizes both for research and exposition. Lars Erik Persson is Professor of Mathematics at Luleå University of Technology and Uppsala University, Sweden. He is the director of Center of Applied Mathematics at Luleå, a member of the Swedish National Committee of Mathematics at the Royal Academy of Sciences, and served as President of the Swedish Mathematical Society (1996-1998). He received his doctorate from Umeå University in 1974. Dr. Persson has published on interpolation of operators, Fourier analysis, function theory, inequalities and homogenization theory. He has received several prizes both for research and teaching | ||
| 650 | |a Fonctions convexes | ||
| 700 | 1 | |a Persson, Lars-Erik, |d 1944- |4 aut | |
| 776 | 0 | |t Convex Functions and their Applications |b Texte imprimé |z 9781441920287 | |
| 776 | 0 | |0 020926480 |t Computational synthetic geometry |f Jürgen Bokowski, Bernd Sturmfels |d 1989 |c Berlin |n Springer |p 1 volume (168 pages) |s Lecture notes in mathematics |z 3-540-50478-8 | |
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