{"product_id":"excursions-into-combinatorial-geometry-von-vladimir-boltyanski-horst-martini-p-s-soltan","title":"Excursions into Combinatorial Geometry","description":"\u003cp\u003eGeometry undoubtedly plays a central role in modern mathematics. And it is not only a physiological fact that 80 % of the information obtained by a human is absorbed through the eyes. It is easier to grasp mathematical con­ cepts and ideas visually than merely to read written symbols and formulae. Without a clear geometric perception of an analytical mathematical problem our intuitive understanding is restricted, while a geometric interpretation points us towards ways of investigation. Minkowski's convexity theory (including support functions, mixed volu­ mes, finite-dimensional normed spaces etc.) was considered by several mathe­ maticians to be an excellent and elegant, but useless mathematical device. Nearly a century later, geometric convexity became one of the major tools of modern applied mathematics. Researchers in functional analysis, mathe­ matical economics, optimization, game theory and many other branches of our field try to gain a clear geometric idea, before they start to work with formulae, integrals, inequalities and so on. For examples in this direction, we refer to [MalJ and [B-M 2J. Combinatorial geometry emerged this century. Its major lines of investi­ gation, results and methods were developed in the last decades, based on seminal contributions by O. Helly, K. Borsuk, P. Erdos, H. Hadwiger, L. Fe­ jes T6th, V. Klee, B. Griinbaum and many other excellent mathematicians.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540613411\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540613411","offer_id":39437025017949,"sku":"9783540613411","price":58.8,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/0a2a9e9f-df5b-4037-ad05-3f64009e0160.jpg?v=1772175683","url":"https:\/\/shop.autorenwelt.de\/products\/excursions-into-combinatorial-geometry-von-vladimir-boltyanski-horst-martini-p-s-soltan","provider":"Autorenwelt Shop","version":"1.0","type":"link"}