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 55
Page xi
... course my family spent the year in Switzerland , and for various reasons I was exempted from taking mathematics altogether . I recall seeing my classmates work on geometry problems , and being turned off by the way they were forced to ...
... course my family spent the year in Switzerland , and for various reasons I was exempted from taking mathematics altogether . I recall seeing my classmates work on geometry problems , and being turned off by the way they were forced to ...
Page xii
... courses on geometry were offered at Stanford ; however , there was one professor , Harold Bacon , who was known to love geometry , and so I approached him with the idea of doing a reading course with him on projective geometry . I ...
... courses on geometry were offered at Stanford ; however , there was one professor , Harold Bacon , who was known to love geometry , and so I approached him with the idea of doing a reading course with him on projective geometry . I ...
Page xiii
... courses ( ' Circles and Triangles : Diamonds of Geometry ' ) , it occurred to me that I could probably write a computer program to let me construct interrelated circles and triangles and so forth in such a way that I could drag points ...
... courses ( ' Circles and Triangles : Diamonds of Geometry ' ) , it occurred to me that I could probably write a computer program to let me construct interrelated circles and triangles and so forth in such a way that I could drag points ...
Page xiv
... courses . ( In this volume , there are many stunning examples of this deep phenomenon of flexible reperception and analogy- based creativity , but I personally was struck by two lovely variations on the theme of Pythagoras - one in the ...
... courses . ( In this volume , there are many stunning examples of this deep phenomenon of flexible reperception and analogy- based creativity , but I personally was struck by two lovely variations on the theme of Pythagoras - one in the ...
Page xv
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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