(Ebook) The Britannica guide to geometry 1st Edition by William L Hosch ISBN 9781615301027 161530102X

(Ebook) The Britannica guide to geometry 1st Edition by William L Hosch ISBN 9781615301027 161530102X

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Product details:
ISBN 10: 161530102X
ISBN 13: 9781615301027
Author: William L Hosch

(Ebook) The Britannica guide to geometry 1st Edition Table of contents:

CHAPTER 1: HISTORY OF GEOMETRY

• Ancient Geometry: Practical and Empirical

• Finding the Right Angle

• Locating the Inaccessible

• Estimating the Wealth

• Ancient Geometry: Abstract and Applied

• The Three Classical Problems

• Idealization and Proof

• The Euclidean Synthesis

• Gnomonics and the Cone

• Astronomy and Trigonometry

• Ancient Geometry: Cosmological and Metaphysical

• Pythagorean Numbers and Platonic Solids

• Measuring the Earth and Heavens

• The Post-Classical Period

• Passage Through Islam

• Europe Rediscovers the Classics

• Linear Perspective

• Transformation

• French Circles

• Geometrical Calculus

• The World System

• Relaxation and Rigour

• Projection Again

• Non-Euclidean Geometries

• A Grand Synthesis

• The Real World

CHAPTER 2: BRANCHES OF GEOMETRY

• Euclidean Geometry

  • Fundamentals

  • Plane Geometry

  • Solid Geometry

• Conic Section

• Analytic Geometry

  • Elementary Analytic Geometry

  • Analytic Geometry of Three and More Dimensions

• Algebraic Geometry

• Projective Geometry

  • Parallel Lines and the Projection of Infinity

  • Projective Invariants

  • Projective Conic Sections

• Differential Geometry

  • Curvature of Curves

  • Curvature of Surfaces

  • Shortest Paths on a Surface

• Non-Euclidean Geometry

  • Spherical Geometry

  • Hyperbolic Geometry

• Topology

  • Basic Concepts of General Topology

  • Algebraic Topology

• Graph Theory

CHAPTER 3: BIOGRAPHIES

Ancient Greek and Islamic Geometers

• Apollonius of Perga

• Archimedes

• Archytas of Tarentum

• Conon of Samos

• Eratosthenes of Cyrene

• Euclid

• Eudoxus of Cnidus

• Heron of Alexandria

• Hippias of Elis

• Hippocrates of Chios

• Menaechmus

• Omar Khayyam

• Pappus of Alexandria

• Pythagoras

• Thales of Miletus

• Theaetetus

Pre-modern (Pre-1800) Geometers

• Bonaventura Cavalieri

• Giovanni Ceva

• Girard Desargues

• René Descartes

• Leonhard Euler

• Gaspard Monge, Count de Péluse

• Gilles Personne de Roberval

• Simon Stevin

Modern Geometers

• Lars Valerian Ahlfors

• Pavel Sergeevich Aleksandrov

• James W. Alexander II

• Sir Michael Francis Atiyah

• Eugenio Beltrami

• Enrico Betti

• Janos Bolyai

• Charles-Julien Brianchon

• Luitzen Egbertus Jan Brouwer

• Michel Chasles

• Shiing-Shen Chern

• William Kingdon Clifford

• Pierre René Deligne

• Simon Kirwan Donaldson

• Vladimir Gershonovich Drinfeld

• Alexandre Grothendieck

• David Hilbert

• Gaston Maurice Julia

• Felix Klein

• Niels Fabian Helge von Koch

• Kodaira Kunihiko

• Nikolay Ivanovich Lobachevsky

• Benoit Mandelbrot

• John Willard Milnor

• Hermann Minkowski

• August Ferdinand Möbius

• Mori Shigefumi

• David Bryant Mumford

• Sergey Petrovich Novikov

• Grigori Perelman

• Henri Poincaré

• Jean-Victor Poncelet

• Bernhard Riemann

• Jean-Pierre Serre

• Wacław Sierpiński

• Stephen Smale

• Karl Georg Christian von Staudt

• Jakob Steiner

• René Frédéric Thom

• William Paul Thurston

• Oswald Veblen

• Vladimir Voevodsky

• André Weil

• Wendelin Werner

• Shing-Tung Yau

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Tags: William L Hosch, Britannica guide, geometry