Geometric Inequalities /

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Anybody who liked their first geometry course (and some who did not) will enjoy the simply stated geometric problems about maximum and minimum lengths and areas in this book. Many of these already fascinated the Greeks, for example, the problem of enclosing the largest possible area by a fence of gi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kazarinoff, Nicholas D.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Colección:Anneli Lax new mathematical library.
Temas:
Geometry, Plane.
Inequalities (Mathematics)
Geometry, Modern > Plane.
Géométrie plane.
Inégalités (Mathématiques)
MATHEMATICS > Arithmetic.
Geometry, Modern > Plane
Geometry, Plane
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover
  • Geometric Inequalities
  • Copyright Page
  • CONTENTS
  • Preface
  • Chapter 1. Arithmetic and Geometric Means
  • 1.1 Fundamentals
  • 1.2 The Theorem of Arithmetic and Geometric Means
  • Chapter 2. Isoperimetric Theorems
  • 2.1 Maxima and minima
  • 2.2 Isoperimetric theorems for triangles
  • 2.3 Isoperimetric theorems for polygons
  • 2.4 Steiner's attempt
  • Chapter 3. The Reflection Principle
  • 3.1 Symmetry
  • 3.2 Dido's problem
  • 3.3 Steiner symmetrization
  • 3.4 Conic sections
  • 3.5 Triangles
  • Chapter 4. Hints and Solutions

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