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Hayes D.F. (ed.), Shubin T. (ed.) — Mathematical Adventures for Students and Amateurs
Hayes D.F. (ed.), Shubin T. (ed.) — Mathematical Adventures for Students and Amateurs



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Название: Mathematical Adventures for Students and Amateurs

Авторы: Hayes D.F. (ed.), Shubin T. (ed.)

Аннотация:

How should you encode a message to an extraterrestrial? What do frogs and powers of 2 have in common? How many faces does the Stella Octangula have? Is a plane figure of constant diameter a circle, and what has this to do with NASA? 210 = 5 x 6 x 7 = 14 x 15, so just how many numbers can be the product of both two and of three consecutive integers? Is there any such thing as a truly correct map? What patterns are possible in juggling?

What do all of these questions have in common? They, and many others, are answered in this book.

The authors are distinguished mathematicians; some are bright newcomers while others have been well known in mathematical circles for decades.

This is a partial record of the Bay Area Math Adventures (BAMA), a lecture series for high school students (and incidentally their teachers, parents, and other interested adults) hosted by San Jose State and Santa Clara Universities in the San Francisco Bay Area. These lectures are aimed primarily at bright high school students, the emphasis on bright, and as a result, the mathematics in some cases is far from what one would expect to see in talks at this level. There are
serious mathematical issues addressed here.

We hope that this book will capture some of the magic of these talks that have filled auditoriums at the host schools almost monthly for several years. Join the students in sharing these mathematical adventures.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 304

Добавлена в каталог: 11.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Quasiconformal      233 256
Queen Victoria      259 275 279
Radius of convergence      247 248
Ramification index      253
Rational, function      251 252
Rational, number      41 42 47 48 54 69 73—75
Rational, point      54 61—63 69 71 75—79
Rational, right triangle      73—77
Recursion      58 59 90 97 98 106 110
Regular polygon      117 119 120 123
Regular polyhedron      117 120 121 123 126 127 130—132
Relation      212—214
Resnik, Judy      7 9
Ride, Sally      9
Riemann, Bernhard      250 251 257
Riemann, Mapping Theorem      250 253 254
Riemann, sphere      252 255 256
Rigidity      255 256
Rosetta stone      3
Ross, Peter      171
Russell, Bertrand      278
Sagan, Carl      4 6
SCALE      233—241 250 256 267
Schirokauer, Oliver      116
Schwarz reflection principle      254
Schwarz, H.A.      250 254 257
Search for Extraterrestrial Intelligence (SETI) Institute      4—6
Self-transformation      211
Sesame Street      36 37
Shafer, Michael      20
Similarity transformation      243—246
simplex      210 211
Simplicial complex      210
Smooth curve      65 188 196 197 244
Smooth map      244 246 247 256
Smooth surface      202 206 209 250
Solids, Archimedean      132
Solids, Platonic      117 120 122—124 128 132
SOUNDEX      31 32
Space, covering      215
Space, Euclidean      209
Space, geodesic      203 205—209 212—214
Space, metric      203—206 208 209 213—215
Space, projective      66
Space, topological      211
Squarefree      74 75 77—79
Stanley, Richard      116
Steiner's porism      182 183
Stella octangula      126 127
Stravinsky, Igor      194 195
Suiyono, Yanto      152
Symmetry, dihedral      128
Symmetry, icosahedral      123 131 132
Symmetry, octahedral      123 127 128
Symmetry, tetrahedral      123
Tennyson, Alfred, Lord      273
Tetractys      51 52
tetrahedron      16 120 122—127 130 210 253 256 272
Tiemann, Bruce      99 103
Tipton, Virgil      34—37
Tissot indicatrix      242—244 256
Top, Jaap      61
Torus      196—199 202 206—208 214
Total order      115
Totally ramified value      253 255 256
Transformation      104 105 166 176 183 201 211 241—246 256
Tunnell's Theorem      74 79 80
Turing, Alan      17
Twin primes      24 25
Universal cover      202 207 208 211 212
Weyl equidistribution theorem      44
Weyl, Hermann      44
Wiles, Andrew J.      25 61 79 80
Wilson, J.M.      273
Winters, Steven      27 38
Worpitzky's identity      110—113
Wright, Colin      99 116
Wright, Edward      239 257
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