Britannica Guide to Geometry
1st Edition
Published on 1. August 2010
316 pages
978-1-61530-217-8 (ISBN)
Description
More than a study of shapes and angles, geometry reflects an amalgamation of discoveries over time. This book not only provides readers with a comprehensive understanding of geometric shapes, axioms, and formulas, it presents the field's brilliant minds-f
More details
Other editions
Additional editions
William L. Hosch
The Britannica Guide to Geometry
Book
08/2010
Rosen Education Service
€70.22
Shipment within 3-4 weeks
Content
- BOOK COVER
- TITLE
- COPYRIGHT
- CONTENTS
- INTRODUCTION
- 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
- RENE DESCARTES
- LEONHARD EULER
- GASPARD MONGE, COUNT DE PELUSE
- 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 RENE 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 MOBIUS
- MORI SHIGEFUMI
- DAVID BRYANT MUMFORD
- SERGEY PETROVICH NOVIKOV
- GRIGORI PERELMAN
- HENRI POINCARE
- JEAN-VICTOR PONCELET
- BERNHARD RIEMANN
- JEAN-PIERRE SERRE
- WAClAW SIERPINSKI
- STEPHEN SMALE
- KARL GEORG CHRISTIAN VON STAUDT
- JAKOB STEINER
- RENE FREDERIC THOM
- WILLIAM PAUL THURSTON
- OSWALD VEBLEN
- VLADIMIR VOEVODSKY
- ANDRE WEIL
- WENDELIN WERNER
- SHING-TUNG YAU
- APPENDIX OF GEOMETRIC TERMS AND CONCEPTS
- ALGEBRAIC SURFACE
- ANGLE TRISECTION: ARCHIMEDES' METHOD
- ANGLE TRISECTION: QUADRATRIX OF HIPPIAS
- AXIOM
- AXIOMATIC METHOD
- BRACHISTOCHRONE
- BRIDGE OF ASSES
- BROUWER'S FIXED POINT THEOREM
- CATENARY
- CEVA'S THEOREM
- CIRCLE
- COMPACTNESS
- CONE
- COORDINATE SYSTEMS
- CROSS RATIO
- CURVE
- CYCLOID
- CYLINDER
- DESARGUES'S THEOREM
- DIMENSION
- DUALITY
- THE ELEMENTS SINCE THE MIDDLE AGES
- ELLIPSE
- ELLIPSOID
- ENVELOPE
- EUCLID'S WINDMILL
- EUCLIDEAN SPACE
- METHOD OF EXHAUSTION
- FRACTAL
- GOLDEN RATIO
- GRAPH
- HARMONIC CONSTRUCTION
- HAUSDORFF SPACE
- HILBERT SPACE
- HIPPOCRATES' QUADRATURE OF THE LUNE
- HYPERBOLA
- HYPERBOLOID
- INCOMMENSURABLES
- ISOMETRIC DRAWING
- KÖNIGSBERG BRIDGE PROBLEM
- LINE
- MEASURING THE EARTH, CLASSICAL AND ARABIC
- MEASURING THE EARTH, MODERN
- METRIC SPACE
- PARABOLA
- PARABOLOID
- PARALLEL POSTULATE
- PENCIL
- PI
- PLATONIC SOLID
- POLYGON
- PROJECTION
- PYTHAGOREAN THEOREM
- SPACE-TIME
- SPIRAL
- SQUARE
- THALES' RECTANGLE
- TOPOLOGICAL SPACE
- GLOSSARY
- BIBLIOGRAPHY
- GENERAL HISTORY
- ANCIENT GREEK GEOMETRY
- ANCIENT NON-GREEK GEOMETRY
- GEOMETRY IN ISLAM
- RENAISSANCE GEOMETRY AND APPLICATIONS
- GEOMETRY AND THE CALCULUS
- AXIOMATIC EUCLIDEAN AND NON-EUCLIDEAN GEOMETRY
- INDEX
- BACK COVER
