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A. D. Alexandrov Selected Works Part I: Selected Scientific Papers

A. D. Alexandrov Selected Works Part I: Selected Scientific Papers


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About the Book

Alexandr Danilovich Alexandrov has been called a giant of 20th-century mathematics. This volume contains some of the most important papers by this renowned geometer and hence, some of his most influential ideas. Alexandrov addressed a wide range of modern mathematical problems, and he did so with intelligence and elegance, solving some of the disci

Table of Contents:
On infinitesimal bendings of nonregular surfaces. An elementary proof of the Minkowski and some other theorems on convex polyhedra. To the theory of mixed volumes of convex bodies. Part I: Extension of certain concepts of the theory of convex bodies. To the theory of mixed volumes of convex bodies. Part II: New inequalities for mixed volumes and their applications. To the theory of mixed volumes of convex bodies. Part III: Extension of two Minkowski theorems on convex polyhedra to all convex bodies. To the theory of mixed volumes of convex bodies. Part IV: Mixed discriminants and mixed volumes. A general uniqueness theorem for closed surfaces. On the area function of a convex body. Intrinsic geometry of an arbitrary convex surface. Existence of a convex polyhedron and a convex surface with given metric. On tiling a space with polyhedra. On a generalization of Riemannian geometry. The Dirichlet problem. A general method for dominating solutions of the Dirichlet problem. On the principles of relativity theory. Index.


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Product Details
  • ISBN-13: 9781482287172
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: CRC Press
  • Language: English
  • No of Pages: 332
  • ISBN-10: 148228717X
  • Publisher Date: 21 Feb 2002
  • Binding: Digital (delivered electronically)
  • No of Pages: 332
  • Sub Title: Selected Scientific Papers


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