The Changing Shape of Geometry: Celebrating a Century of Geometry and Geometry TeachingChris Pritchard Celebrating a century of geometry and geometry teaching, this book will give the reader an enjoyable insight into all things geometrical. There are a wealth of popular articles including sections on Pythagoras, the golden ratio and recreational geometry. Historical items, drawn principally from the Mathematical Gazette, are authored by mathematicians such as G.H. Hardy, Rouse Ball, Thomas Heath and Bertrand Russell as well as some more recent expositors. Thirty 'Desert Island Theorems' from distinguished mathematicians and educationalists give light to some surprising and beautiful results. Contributors include H.S.M. Coxeter, Michael Atiyah, Tom Apostol, Solomon Golomb, Keith Devlin, Nobel Laureate Leon Lederman, Carlo Se;quin, Simon Singh, Christopher Zeeman and Pulitzer Prizewinner Douglas Hofstadter. The book also features the wonderful Eyeball Theorems of Peruvian geometer and web designer, Antonio Gutierrez. For anyone with an interest in mathematics and mathematics education this book will be an enjoyable and rewarding read. |
From inside the book
Results 1-5 of 71
Page i
... Pythagoras , the golden ratio and recreational geometry . Historical items , drawn principally from the Mathematical Gazzette , are authored by mathematicians such as G. H. Hardy , Rouse Ball , Thomas Heath and Bertrand Russell as well ...
... Pythagoras , the golden ratio and recreational geometry . Historical items , drawn principally from the Mathematical Gazzette , are authored by mathematicians such as G. H. Hardy , Rouse Ball , Thomas Heath and Bertrand Russell as well ...
Page iii
... Pythagoras Wrought , by Underwood Dudley Out of the Mouths of Mathematicians , by Rosemary Schmalz Penrose Tiles to Trapdoor Ciphers ... and the Return of Dr. Matrix , by Martin Gardner Polyominoes , by George Martin Power Play , by ...
... Pythagoras Wrought , by Underwood Dudley Out of the Mouths of Mathematicians , by Rosemary Schmalz Penrose Tiles to Trapdoor Ciphers ... and the Return of Dr. Matrix , by Martin Gardner Polyominoes , by George Martin Power Play , by ...
Page vii
... Pythagoras ' Theorem Chris Denley A2 Angle at centre of a circle is twice angle at circumference Charlie Stripp 35 A3 Archimedes ' theorem on the area of a parabolic segment Tom Apostol 37 A4 An isoperimetric theorem John Hersee 40 A5 ...
... Pythagoras ' Theorem Chris Denley A2 Angle at centre of a circle is twice angle at circumference Charlie Stripp 35 A3 Archimedes ' theorem on the area of a parabolic segment Tom Apostol 37 A4 An isoperimetric theorem John Hersee 40 A5 ...
Page viii
... Pythagoras ' Theorem 199 3.1 Introductory Essay : Pythagoras ' Theorem , A Measure of Gold Janet Jagger 201 3.2 Pythagoras Walter Rouse Ball ( 1915 ) 211 3.3 Perigal's dissection for the Theorem of Pythagoras AW Siddons ( 1932 ) 222 3.4 ...
... Pythagoras ' Theorem 199 3.1 Introductory Essay : Pythagoras ' Theorem , A Measure of Gold Janet Jagger 201 3.2 Pythagoras Walter Rouse Ball ( 1915 ) 211 3.3 Perigal's dissection for the Theorem of Pythagoras AW Siddons ( 1932 ) 222 3.4 ...
Page xiv
... Pythagoras - one in the article by Hazel Perfect , the other in an article by Larry Hoehn . ) As my experiences with geometry grew deeper and wider , I started exploring not just geometry but geometries , and my goal of understanding ...
... Pythagoras - one in the article by Hazel Perfect , the other in an article by Larry Hoehn . ) As my experiences with geometry grew deeper and wider , I started exploring not just geometry but geometries , and my goal of understanding ...
Contents
III | xv |
IV | 5 |
V | 16 |
VI | 23 |
VII | 25 |
VIII | 27 |
X | 29 |
XI | 34 |
LXIV | 230 |
LXVI | 232 |
LXIX | 235 |
LXX | 237 |
LXXII | 239 |
LXXV | 243 |
LXXVIII | 250 |
LXXXI | 261 |
XII | 43 |
XIV | 45 |
XVII | 63 |
XVIII | 80 |
XXI | 82 |
XXIV | 90 |
XXVI | 105 |
XXIX | 109 |
XXXI | 120 |
XXXIII | 126 |
XXXVI | 136 |
XXXVII | 140 |
XXXVIII | 161 |
XL | 163 |
XLI | 165 |
XLII | 167 |
XLIII | 175 |
XLIV | 177 |
XLVII | 181 |
L | 183 |
LI | 187 |
LII | 189 |
LIII | 199 |
LIV | 210 |
LV | 212 |
LVI | 214 |
LVII | 218 |
LIX | 223 |
LXI | 224 |
LXIII | 226 |
LXXXIII | 262 |
LXXXVI | 264 |
LXXXVII | 266 |
XC | 273 |
XCIII | 279 |
XCVI | 281 |
XCVII | 285 |
XCIX | 287 |
CII | 288 |
CV | 289 |
CVIII | 293 |
CXI | 295 |
CXII | 300 |
CXV | 305 |
CXVIII | 314 |
CXXI | 319 |
CXXII | 331 |
CXXV | 338 |
CXXVII | 353 |
CXXVIII | 355 |
CXXX | 358 |
CXXXIII | 360 |
CXXXV | 364 |
CXXXVIII | 367 |
CXL | 390 |
CXLIII | 393 |
CXLVII | 400 |
CL | 404 |
CLII | 411 |
Other editions - View all
The Changing Shape of Geometry: Celebrating a Century of Geometry and ... Chris Pritchard Limited preview - 2003 |
The Changing Shape of Geometry: Celebrating a Century of Geometry and ... Chris Pritchard No preview available - 2003 |
Common terms and phrases
AABC ABCD algebra analytical geometry Archimedes axioms base calculation centre century Chasles circle colour conic construction curriculum curves cyclic quadrilateral deductive Desargues Descartes Desert Island Theorems diagonal diagram dissection Doug French edges elementary elements equal equation equilateral triangle Euclid Euclidean Figure Fold four Four Colour Theorem geometry teaching given golden ratio golden rectangle golden section Greek H. S. M. Coxeter ideas inscribed intersection knot length line segment Math Mathematical Association Mathematical Gazette mathematicians Mathematics in School method parallel parallelogram perpendicular pieces plane polygon Poncelet problem projective geometry proof Prop properties propositions proved Ptolemy's Theorem published in Mathematical pupils pyramid Pythagoras Pythagorean quadrilateral radius result right angles school geometry sequence shape sides similar solid solution space sphere sphinx square root straight line surfaces symmetry tangent teachers tessellation theory triangle ABC trominoes vertex vertices