Why Beauty is Truth (66 page)

Stevin, Simon,
144–145

Stobaeus,
21

Straightedge,
25
,
26
,
27
,
29
,
30
,
33
,
63
,
126
,
127
,
128
,
129
,
134
,
150

String theory,
251
,
252
,
255
,
257
,
259
,
263
,
272
,
273

backlash against,
254

bosonic,
252

Strominger, Andrew,
253

Strong anthropic principle,
257

Structure,
118–119

defining,
119

SU(2),
239
,
268

SU(3),
239

Subgroups,
112–113
,
114–115
,
115

of permutations,
114

Sumer,
1

Sun,
197

Superstrings,
249
,
251
,
256–258
,
259

types of theory,
253–254

Supersymmetry,
230
,
246
,
247
,
248
,
249
,
251
,
253

Surveying,
48

Sylow, Ludwig,
159

Symbolism, in algebra,
35

Symmetry,
157
,
162
,
197
,
230
,
231
,
236

in algebra,
121

defining,
118

gauge,
233

inertial frames and,
189

local,
231

mathematics and,
279–280

of Maxwell equations,
191

multiplying,
121

permutations and,
113

in protons,
239

in root systems,
168

of space-time,
192

speciation and,
241

spontaneous, breaking,
218

as transformation,
ix

of triangle,
120

Symmetry groups,
160

Symplectic groups,
168

Tait, Peter,
154
,
155

Talmud, Max,
182

Tartaglia.
See
Fontana, Niccolo

Taton, René,
101

Temperature,
241–242

Tensors,
195
,
197

Terquem, Orly,
100

Theaetetus,
21

Theorems,
25

Theory of Everything,
222
,
223
,
240–242
,
254
,
263
,
273
,
276

Thermodynamics,
205

Tignol, Jean-Pierre,
77

Tigris,
1

Time,
141
,
187
,
226

Babylonian measurement of,
12

reflection of,
187

translation of,
187

Tits, Jacques,
271

Tool-building,
29

Topology,
225
,
245
,
251

Tower of Abel,
91–92

Tower of Babel,
2
,
91

Towers,
89–90

Transcendental numbers,
130
,
131

Transformation,
118–119
,
121–122

defining,
119

Translations, of time,
187

Trattato della Pittura
(da Vinci),
269

Treatise on Light
(Huygens),
177

Tree of Life,
241

Triangles,
118–119

inequality,
193

symmetries of,
120

Triangular numbers,
21

Trigonometry,
49
,
128–129

Trisections,
28–29
,
125
,
128–129

Truth

beauty and,
188
,
263
,
275

mathematics and,
275

Tunneling theory,
257–258

Turok, Neil,
257–258

Typhus,
81

Ultraviolet catastrophe,
202

Unification,
140–141

Unified field theory,
198

Universe

harmony of,
21

mathematics and,
xiii

University of Königsberg,
134

Uruk,
2

Vacuum energy,
257

Vandermonde, Alexandre-Thóphile,
75

Vector addition,
150

Vector algebra,
154

Vectors,
273

Veneziano, Gabriele,
250

Vibration patterns,
217–218
,
250

von Neumann, Janós,
215
,
216
,
220
,
259

Wallis, John,
146
,
147
,
149

Wantzel, Pierre Laurent,
126–127
,
129
,
135

Watson, James,
205

Wave optics,
140

Wavelengths,
180

Wavicles,
203

Weak anthropic principle,
257

Weakons,
237

Weather,
226

Weber, Heinrich Friedrich,
184
,
216

Weber, Wilhelm,
72–73

Wecklein, Anna,
206

Wecklein, Nikolaus,
206

Weierstrass, Karl,
160
,
166
,
200

Wessel, Caspar,
148

Wessel, Ole,
148

Wessel plane,
148

Western world,
19

Weyl groups,
168

Weyl, Hermann,
217

What Is Life
(Schrödinger),
204–205

Whittaker,
213

Wien, Wilhelm,
201

Wigner, Antal,
215
,
216

Wigner, Eugene, x,
215
,
216
,
217
,
219–220
,
259
,
277

Wiles, Andrew,
36

William the Silent,
144

Witmer, Richad,
53–54

Witten, Edward,
244
,
248
,
252

Wolff, Christoph,
207

Woodward, Bob,
243

Wordsworth, William,
139–140

World line,
192
,
249

Worldsheets,
249–250

x
,
34
,
47

Yang, Chen Ning,
238

Yang-Mills field,
238

Yau, Shing-Tung,
246

Zagros Mountains,
1

Zero,
144

Zimmerman, E. A. W.,
66

Zorn, Max,
266