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Convexity from the Geometric Point of View: Exercises and Solutions by Vitor Balestro

Convexity from the Geometric Point of View: Exercises and Solutions

by Vitor Balestro , Horst Martini , Ralph Teixeira
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Book cover type: Hardcover
  • ISBN13: 9783031839368
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Birkhauser
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 363
  • Original Price: EUR 159.99
  • Language: English
  • Edition: N/A
  • Item Weight: 867 grams
  • BISAC Subject(s): Geometry / Analytic

Exercises & Solutions Convex functions.- Exercises & Solutions Convex sets.- Exercises & Solutions A first look into polytopes.- Exercises & Solutions Volume and area.- Exercises & Solutions Classical inequalities.- Exercises & Solutions Mixed volumes.- Exercises & Solutions Mixed surface area measures.- Exercises & Solutions The Alexandrov-Fenchel inequality.- Exercises & Solutions Affine convex geometry I.- Exercises & Solutions Affine convex geometry II.- Exercises & Solutions Further selected topics.- Exercises & Solutions Historical steps of development of convexity as a field.

Vitor Balestro is a Professor of Mathematics at Federal Fluminense University in Niterói, Brazil. He received his PhD in Mathematics from the same university in 2016. In Mathematics, his research interests include convex geometry, geometry of finite dimensional normed spaces, convex analysis and functional analysis. Outside of Mathematics, his main interests are computer programming, computer science, music, and literature.

Horst Martini Before his retirement in 2020, Horst Martini was Full Professor of Mathematics at the Chemnitz University of Technology in Germany (Chair of Geometry). After receiving his Ph.D. in Dresden, in 1988 he obtained his habilitation from the University of Jena, and in 1993 he received his position in Chemnitz. His research interests include convex geometry, discrete geometry, functional analysis, and classical subfields of geometry, as well as applications in optimization and related fields. He also studies certain fields in history of mathematics. For about fifteen years he was editor in chief f the Springer journal Contributions to Algebra and Geometry, and in 2015 he received an honorary professorship from the Harbin University f Science and Technology (China). His passions include travelling to interesting places of geographical and historical significance and studying different genres of good music.

Ralph Teixeira is a Professor of Mathematics at Federal Fluminense University in Niterói, Brazil. He received his PhD in Mathematics from Harvard University in 1998, and has since worked in many areas, including Mathematics applied to Computer Vision, Differential and Discrete Geometry, and lately Convex Geometry. Second to his wife, his main love is computer gaming, but he would never admit this in public.

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