The changing shape of geometry : celebrating a century of geometry and geometry teaching / edited on behalf of the Mathematical Association by Chris Pritchard.

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Vydáno: Cambridge : Cambridge University Press, c2003.
Korporace:
Mathematical Association
Mathematical Association of America
Další autoři:
Pritchard, Chris, 1954-
Edice:MAA spectrum
Témata:
Geometry.
Geometry > History.
Geometry > Famous Problems.
Mathematical recreations.
Médium: Kniha
The changing shape of geometry : celebrating a century of geometry and geometry teaching /

MARC

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097 |3 Bib#:  |a 851479 
245 0 4 |a The changing shape of geometry :  |b celebrating a century of geometry and geometry teaching /  |c edited on behalf of the Mathematical Association by Chris Pritchard. 
260 |a Cambridge :  |b Cambridge University Press,  |c c2003. 
300 |a xviii, 541 p. :  |b ill. ;  |c 25 cm. 
490 1 |a Spectrum series 
504 |a Includes bibliographical references. 
505 0 0 |t General Introduction: Simplicity, Economy, Elegance /  |r Chris Pritchard --  |g Pt. I.  |t The Nature of Geometry --  |g 1.1.  |t What is geometry? /  |r G. H. Hardy --  |g 1.2.  |t What is geometry? /  |r Michael Atiyah --  |g Group A.  |t Greek Geometry --  |g A1.  |t Pythagoras' Theorem /  |r Chris Denley --  |g A2.  |t Angle at centre of a circle is twice angle at circumference /  |r Charlie Stripp --  |g A3.  |t Archimedes' theorem on the area of a parabolic segment /  |r Tom Apostol --  |g A4.  |t An isoperimetric theorem /  |r John Hersee --  |g A5.  |t Ptolemy's Theorem /  |r Tony Crilly and Colin Fletcher --  |g Pt. II.  |t The History of Geometry --  |g 2.1.  |t Introductory Essay: A concise and selective history of geometry from Ur to Erlangen /  |r Chris Pritchard --  |g 2.2.  |t Greek geometry with special reference to infinitesimals /  |r T. L. Heath --  |g 2.3.  |t A straight line is the shortest distance between two points /  |r J. H. Webb --  |g 2.4.  |t On geometrical constructions by means of the compass /  |r E. W. Hobson --  |g 2.5.  |t What is a square root? A study of geometrical representation in different mathematical traditions /  |r George Gheverghese Joseph --  |g 2.6.  |t An old Chinese way of finding the volume of a sphere /  |r T. Kiang --  |g 2.7.  |t Mathematics and Islamic Art /  |r Lesley Jones --  |g 2.8.  |t Jamshid al-Kashi, calculating genius /  |r Glen Van Brummelen --  |g 2.9.  |t Geometry and Girard Desargues /  |r B. A. Swinden --  |g 2.10.  |t Henri Brocard and the geometry of the triangle /  |r Laura Guggenbuhl --  |g 2.11.  |t The development of geometrical methods /  |r Gaston Darboux --  |g Group B.  |t Elementary Euclidean Geometry --  |g B1.  |t Varignon's Theorem /  |r Chris Pritchard --  |g B2.  |t Varignon's big sister? /  |r Celia Hoyles --  |g B3.  |t Mid-Edges Theorem /  |r Toni Beardon --  |g B4.  |t Van Schooten's Theorem /  |r Doug French --  |g B5.  |t Ceva's Theorem /  |r Elmer Rees --  |g B6.  |t Descartes Circle Theorem /  |r H. S. M. Coxeter --  |g B7.  |t Three Squares Theorem /  |r Bill Richardson --  |g B8.  |t Morley's Triangle Theorem /  |r David Burghes --  |g Pt. III.  |t Pythagoras' Theorem --  |g 3.1.  |t Introductory Essay: Pythagoras' Theorem, A Measure of Gold /  |r Janet Jagger --  |g 3.2.  |t Pythagoras /  |r Walter Rouse Ball --  |g 3.3.  |t Perigal's dissection for the Theorem of Pythagoras /  |r A. W. Siddons --  |g 3.4.  |t Demonstration of Pythagoras' Theorem in three moves /  |r Roger Baker --  |g 3.5.  |t Pythagoras' Theorem /  |r Jack Oliver --  |g 3.6.  |t A neglected Pythagorean-like formula /  |r Larry Hoehn --  |g 3.7.  |t Pythagoras extended: a geometric approach to the cosine rule /  |r Neil Bibby and Doug French --  |g 3.8.  |t Pythagoras in higher dimensions, I /  |r Lewis Hull --  |g 3.9.  |t Pythagoras in higher dimensions, II /  |r Hazel Perfect --  |g 3.10.  |t Pythagoras inside out /  |r Larry Hoehn --  |g 3.11.  |t Geometry and the cosine rule /  |r Colin Dixon --  |g 3.12.  |t Bride's chair revisited /  |r Roger Webster --  |g 3.13.  |t Bride's chair revisited again! /  |r Ian Warburton --  |g Group C.  |t Advanced Euclidean Geometry --  |g C1.  |t Desargues' Theorem /  |r Douglas Quadling --  |g C2.  |t Pascal's Hexagram Theorem /  |r Martyn Cundy --  |g C3.  |t Nine-point Circle /  |r Adam McBride --  |g C4.  |t Napoleon's Theorem and Doug-all's Theorem /  |r Douglas Hofstadter --  |g C5.  |t Miquel's Six Circle Theorem /  |r Aad Goddijn --  |g C6.  |t Eyeball Theorems /  |r Antonio Gutierrez --  |g Pt. IV.  |t The Golden Ratio --  |g 4.1.  |t Introduction /  |r Ron Knott --  |g 4.2.  |t Regular pentagons and the Fibonacci Sequence /  |r Doug French --  |g 4.3.  |t Equilateral triangles and the golden ratio /  |r J. F. Rigby --  |g 4.4.  |t Regular pentagon construction /  |r David Pagni --  |g 4.5.  |t Discovering the golden section /  |r Neville Reed --  |g 4.6.  |t Making a golden rectangle by paper folding /  |r George Markowsky --  |g 4.7.  |t The golden section in mountain photography /  |r David Chappell and Christine Straker --  |g 4.8.  |t Another peek at the golden section /  |r Paul Glaister --  |g 4.9.  |t A note on the golden ratio /  |r A. D. Rawlins --  |g 4.10.  |t Balancing and golden rectangles /  |r Nick Lord --  |g 4.11.  |t Golden earrings /  |r Paul Glaister --  |g 4.12.  |t The pyramids, the golden section and 2[pi] /  |r Tony Collyer and Alex Pathan --  |g 4.13.  |t A supergolden rectangle /  |r Tony Crilly --  |g Group D.  |t Non-Euclidean Geometry & Topology --  |g D1.  |t Four-and-a-half Colour Theorem /  |r Derek Holton --  |g D2.  |t Euler-Descartes Theorem /  |r Tony Gardiner --  |g D3.  |t Euler-Poincare Theorem /  |r Carlo Sequin --  |g D4.  |t Two Right Tromino theorems /  |r Solomon Golomb --  |g D5.  |t Sum of the angles of a spherical triangle /  |r Christopher Zeeman --  |g Pt. V.  |t Recreational Geometry --  |g 5.1.  |t Introduction /  |r Brian Bolt --  |g 5.2.  |t The cube dissected into three yangma /  |r James Brunton --  |g 5.3.  |t Folded polyhedra /  |r Cecily Nevill --  |g 5.4.  |t The use of the pentagram in constructing the net for a regular dodecahedron /  |r E. M. Bishop --  |g 5.5.  |t Paper patterns: solid shapes from metric paper /  |r William Gibbs --  |g 5.6.  |t Replicating figures in the plane /  |r Solomon Golomb --  |g 5.7.  |t The sphinx task centre problem /  |r Andy Martin --  |g 5.8.  |t Ezt Rakd Ki: A Hungarian tangram /  |r Jean Melrose --  |g 5.9.  |t Dissecting a dodecagon /  |r Doug French --  |g 5.10.  |t A dissection puzzle /  |r Jon Millington --  |g 5.11.  |t Two squares from one /  |r Brian Bolt --  |g 5.12.  |t Half-squares, tessellations and quilting /  |r Tony Orton --  |g 5.13.  |t From tessellations to fractals /  |r Tony Orton --  |g 5.14.  |t Paper patterns with circles /  |r William Gibbs --  |g 5.15.  |t Tessellations with pentagons [with related correspondence] /  |r J. A. Dunn --  |g 5.16.  |t Universal games /  |r Helen Morris --  |g Group E.  |t Geometrical Physics --  |g E1.  |t Euler's Identity /  |r Keith Devlin --  |g E2.  |t Clifford Parallels /  |r Michael Atiyah --  |g E3.  |t Tait Conjectures /  |r Ruth Lawrence --  |g E4.  |t Kelvin's Circulation Theorem /  |r Keith Moffatt --  |g E5.  |t Noether's Theorem /  |r Leon Lederman and Chris Hill --  |g E6.  |t Kepler's Packing Theorem /  |r Simon Singh --  |g Pt. VI.  |t The Teaching of Geometry --  |g 6.1.  |t Introductory Essay: A century of school geometry teaching /  |r Michael Price --  |g 6.2.  |t The teaching of Euclid /  |r Bertrand Russell --  |g 6.3.  |t The Board of Education circular on the teaching of geometry /  |r Charles Godfrey --  |g 6.4.  |t The teaching of geometry in schools /  |r C. V. Durell --  |g 6.5.  |t Fifty years of change /  |r A. W. Siddons --  |g 6.6.  |t Milestone or millstone? /  |r Geoffrey Howson --  |g 6.7.  |t The place of geometry in a mathematical education /  |r J. V. Armitage --  |g App. I.  |t Report of the M. A. Committee on Geometry (1902) --  |g App. II.  |t Euclidean Propositions. 
650 0 |a Geometry. 
650 0 |a Geometry  |x History. 
650 0 |a Geometry  |x Famous Problems. 
650 0 |a Mathematical recreations. 
700 1 |a Pritchard, Chris,  |d 1954- 
710 2 |a Mathematical Association. 
710 2 |a Mathematical Association of America. 
830 0 |a MAA spectrum 
991 |a 2003-10-24 
992 |a Created by sico, 24/10/2003. Updated by alte, 12/01/2005. 
999 f f |i 6e6a230b-13d5-5d55-8cb9-318a44a5c875  |s 10c056e3-c705-5bb4-81ba-9f8c62d6cdb8  |t 0 
952 f f |p For loan  |a University Of Canterbury  |b UC Libraries  |c EPS Library  |d EPS Library, Level 2  |t 0  |e QA 446 .C456 2003  |h Library of Congress classification  |i Book  |m AU11499281B 

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