Life and Scientific Work of Peter Guthrie Tait - School of Mathematics ...

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LIFE AND SCIENTIFIC WORK OF PETER GUTHRIE TAIT
Page 1: %•:> : ---
Page 11 and 12: ^W'.SVf*** ' LIFE AND SCIENTIFIC WO
Page 13 and 14: PREFACE AT the time of his death in
Page 15 and 16: TABLE OF CONTENTS CHAPTER I MEMOIR
Page 17 and 18: CONTENTS ix CHAPTER VII ADDRESSES,
Page 19 and 20: CHAPTER I MEMOIR PETER GUTHRIE TAIT
Page 21 and 22: EDINBURGH. 1837-48 Peter Guthrie Ta
Page 23 and 24: EDINBURGH ACADEMY 5 was a mental an
Page 25 and 26: STUDENT AT EDINBURGH UNIVERSITY 7 m
Page 27 and 28: SENIOR WRANGLER 9 Steele seems to h
Page 31 and 32: FELLOW OF PETERHOUSE n Library. The
Page 33 and 34: ASSOCIATION WITH PROFESSOR ANDREWS
Page 35 and 36: PROJECTED "KNOCKLAYD" EXPERIMENT 15
Page 37 and 38: LECTURER AND TEACHER 17 has attaine
Page 39 and 40: ORDINARY CLASS LECTURES 19 to the t
Page 41 and 42: ADVANCED CLASS LECTURES 21 in mathe
Page 43 and 44: SCIENTIFIC AND LITERARY ACTIVITY 23
Page 45 and 46: SCIENTIFIC ACTIVITY 25 for a length
Page 47 and 48: THE PHYSICS OF GOLF 27 experimental
Page 49 and 50: THE ROYAL SOCIETY OF EDINBURGH 29 M
Page 51 and 52: egularity ; and SIR WILLIAM THOMSON
Page 53 and 54:
IN HIS STUDY 33 the asking. The sub
Page 55 and 56:
My dear v. Helmholtz GIFFORD LECTUR
Page 57 and 58:
study table ; and RELIGION AND POLI
Page 59 and 60:
RETIREMENT FROM CHAIR 39 Tait forma
Page 61 and 62:
LETTERS OF SYMPATHY 41 Professor Ta
Page 63 and 64:
OBITUARY NOTICES 43 Council now fee
Page 65 and 66:
PROFESSOR FLINT'S APPRECIATION 45 p
Page 67 and 68:
HONOURS AND AWARDS 47 W. Rutherford
Page 69 and 70:
THE TAIT PRIZE AT PETERHOUSE 49 "Ta
Page 71 and 72:
SIR JAMES DEWAR 51 found in the Edi
Page 73 and 74:
THE CLUB-HOUSE, ST ANDREWS 53 forma
Page 75 and 76:
"THE MORNING ROUND" 55 task, he req
Page 77 and 78:
FUN AND JESTING 57 The St Andrews o
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from this standpoint ; and THE VIRT
Page 81 and 82:
THE "BULGER" 6i receive underspin,
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guess the cause of that power THE L
Page 85 and 86:
My dear Dr Andrews, procuring appar
Page 87 and 88:
THOMSON'S ELECTROMETER AND GALVANOM
Page 89 and 90:
SIR DAVID BREWSTER 69 to the Royal
Page 91 and 92:
W. ROBERTSON SMITH 71 under circums
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possible. ROBERT LOUIS STEVENSON 72
Page 95 and 96:
Dear T., EXPERIMENTAL ACTIVITY 75 1
Page 97 and 98:
THERMOELECTRICITY 77 less pay, but
Page 99 and 100:
THERMOELECTRICITY 79 The cobalt sup
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auspices of the British Association
Page 103 and 104:
THE "CHALLENGER" THERMOMETERS 83 in
Page 105 and 106:
THE TAIT PRESSURE GAUGE 85 is appli
Page 107 and 108:
PROFESSOR CHRYSTAL 87 cellar which
Page 111 and 112:
EXPERIMENTS ON IMPACT 89 contained
Page 113 and 114:
FOG-SIGNALLING 91 applicability of
Page 115 and 116:
RHYMING CORRESPONDENCE 93 air conta
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indicated. Art. 577 HIS PHYSICAL IN
Page 119 and 120:
ENCOURAGEMENT TO RESEARCH 97 coolin
Page 121 and 122:
BRACHISTOCHRONES 99 The preparation
Page 123 and 124:
MAXWELL ON SPHERICAL HARMONICS loi
Page 125 and 126:
problem ; "When ways may the game T
Page 127 and 128:
VORTICES AND KNOTS 105 Not able to
Page 129 and 130:
ORDERS OF KNOTTINESS 107 knot. We m
Page 131 and 132:
MIRAGE 109 Flype 'em, slit 'em, twi
Page 133 and 134:
KINETIC THEORY OF GASES m There is
Page 135 and 136:
ISOTHERMAL EQUATION 113 there are m
Page 137 and 138:
If not, you may write LETTER FROM M
Page 139 and 140:
GOLF BALL TRAJECTORY, ETC. 117 path
Page 141 and 142:
CHAPTER IV QUATERNIONS Tait's quate
Page 143 and 144:
HAMILTON ON DIFFERENTIALS 121 into
Page 145 and 146:
WARREN'S ANTICIPATION OF HAMILTON 1
Page 147 and 148:
THE WAVE SURFACE 125 Hamilton ackno
Page 149 and 150:
EARLY EFFORTS IN QUATERNIONS 127 an
Page 151 and 152:
COMPARISON OF NOTATIONS 129 method
Page 153 and 154:
H AMI LTON'S APPRECIATION OF THECOR
Page 155 and 156:
WAVE SURFACE TRANSFORMATIONS 133 Th
Page 157 and 158:
My dear Mr Tait THE LINEAR VECTOR F
Page 159 and 160:
THE LINEAR VECTOR FUNCTION 137 but
Page 161 and 162:
MISUNDERSTANDINGS 139 the Professor
Page 163 and 164:
ANALYSIS OF CORRESPONDENCE 141 the
Page 165 and 166:
THE OPERATOR "NABLA" 143 the powerf
Page 167 and 168:
THE OPERATOR "NABLA" 145 It was pro
Page 169 and 170:
POTENTIALS AND STRESS FUNCTIONS 147
Page 171 and 172:
ROTATION OF A RIGID BODY 149 on the
Page 173 and 174:
MAXWELL ON QUATERNIONS 151 "(Oct. 4
Page 175 and 176:
ORTHOGONAL ISOTHERMAL SURFACES 153
Page 177 and 178:
CORRESPONDENCE WITH CAYLEY 155 disr
Page 179 and 180:
CORRESPONDENCE WITH CAYLEY 157 tx+j
Page 181 and 182:
CORRESPONDENCE WITH CAYLEY 159 Sinc
Page 183 and 184:
CORRESPONDENCE WITH CAYLEY i6i I sh
Page 185 and 186:
CORRESPONDENCE WITH CAYLEY 163 " Bu
Page 187 and 188:
CORRESPONDENCE WITH CAYLEY 165 In h
Page 189 and 190:
MAXWELL'S INDEBTEDNESS 167 Tait bro
Page 191 and 192:
HELMHOLTZ'S APPRECIATION 169 the ma
Page 193 and 194:
MAXWELL'S TYNDALLIC ODE 171 APPENDI
Page 195 and 196:
MAXWELL'S TYNDALLIC ODE 173 I light
Page 197 and 198:
MAXWELL'S TYNDALLIC ODE 175 The fol
Page 199 and 200:
BEGINNINGS OF T AND T' 177 Occasion
Page 201 and 202:
PLAN OF FIRST VOLUME 179 Section II
Page 205 and 206:
FACSIMILE OF TAIT'S MANUSCRIPT i8i
Page 207 and 208:
LETTER TO THOMSON 183 are simply en
Page 209 and 210:
QUATERNIONS EXCLUDED 185 It is now
Page 211 and 212:
FRESHNESS OF TREATMENT 187 carefull
Page 213 and 214:
SPHERICAL HARMONICS 189 the second
Page 215 and 216:
LAGRANGE AND HAMILTON 191 the first
Page 217 and 218:
PROBLEM OF THE EARTH'S RIGIDITY 193
Page 219 and 220:
HELMHOLTZ ON "T AND T'" 195 faults
Page 221 and 222:
VISIT OF HELMHOLTZ 197 of GOLF 1 to
Page 223 and 224:
[etc., etc.] ; THE EDINBURGH AND GL
Page 225 and 226:
THE ELEMENTS OF NATURAL PHILOSOPHY
Page 227 and 228:
THE ELEMENTS OF NATURAL PHILOSOPHY
Page 229 and 230:
CHAPTER VI OTHER BOOKS LOj, As a wr
Page 231 and 232:
"TAIT AND STEELE" 207 the desire of
Page 233 and 234:
ARTICLES IN NORTH BRITISH REVIEW 20
Page 235 and 236:
MOHR, COLDING, AND MAYER 2H by a di
Page 237 and 238:
"SKETCH OF THERMODYNAMICS" 213 Sir
Page 239 and 240:
MAXWELL RECEIVES THE '-HISTORIC SKE
Page 241 and 242:
HELMHOLTZ ON PRIORITY QUARRELS 217
Page 243 and 244:
LETTERS TO THOMSON 219 are altogeth
Page 245 and 246:
MAXWELL'S REVIEW OF "THERMODYNAMICS
Page 247 and 248:
THE ENTROPY INTEGRAL 223 was found
Page 249 and 250:
THE CHARGE OF CHAUVINISM 225 can ea
Page 251 and 252:
"RECENT ADVANCES" 227 form of a cou
Page 253 and 254:
PROPERTIES OF MATTER 229 and state
Page 255 and 256:
"DYNAMICS" 231 course very useful h
Page 257 and 258:
"NEWTON'S LAWS OF MOTION" 233 found
Page 259 and 260:
CAYLEY ON NEWTON'S LAWS 235 I have
Page 261 and 262:
"THE UNSEEN UNIVERSE" 237 for Chapt
Page 263 and 264:
RECEPTION OF "THE UNSEEN UNIVERSE"
Page 265 and 266:
MAXWELL REVIEWS "PARADOXICAL PHILOS
Page 267 and 268:
A PARADOXICAL ODE 243 Since all the
Page 269 and 270:
MAXWELL'S LAST LETTER 245 just oppo
Page 271 and 272:
COMETS' TAILS 247 numerous, where t
Page 273 and 274:
THE EVILS OF CRAM 249 days. Take th
Page 275 and 276:
THE REDE LECTURE 251 and integrate,
Page 277 and 278:
LECTURE ON "FORCE" 253 sense of the
Page 279 and 280:
LECTURE ON THUNDERSTORMS 255 Whose
Page 281 and 282:
DE MORGAN'S "BUDGET OF PARADOXES" 2
Page 283 and 284:
MAXWELL'S "ELECTRICITY AND MAGNETIS
Page 285 and 286:
MAXWELL'S "MATTER AND MOTION" 261 I
Page 287 and 288:
MAXWELL'S SCIENTIFIC WORK 263 is on
Page 289 and 290:
STOKES' MATHEMATICAL PAPERS 265 Cam
Page 291 and 292:
STOKES' "BURNETT LECTURES" 267 The
Page 293 and 294:
STOKES' "BURNETT LECTURES" 269 the
Page 295 and 296:
CLIFFORD'S -'DYNAMIC" 271 and the t
Page 297 and 298:
POINCAR^'S "THERMODYNAMIQUE" 273 th
Page 299 and 300:
POINCARfi'S 'THERMODYNAMIQUE" 275 g
Page 301 and 302:
McAULAY'S "UTILITY OF QUATERNIONS"
Page 303 and 304:
MOULTON ON SPENCER'S "FIRST PRINCIT
Page 305 and 306:
TAIT'S FIRST REPLY TO SPENCER 281 T
Page 307 and 308:
SPENCER'S DEFENCE 283 went on to ma
Page 309 and 310:
TAIT'S SECOND REPLY 285 be framed i
Page 311 and 312:
DEFINITIONS OF FORCE 287 expressly
Page 313 and 314:
OBITUARY NOTICE OF BALFOUR STEWART
Page 315 and 316:
OBITUARY NOTICE OF ROBERTSON SMITH
Page 317 and 318:
"RELIGION AND SCIENCE" 293 RELIGION
Page 319 and 320:
"RELIGION AND SCIENCE" 295 ously wo
Page 321 and 322:
ELECTRICITY AND LIGHT 297 he knows
Page 323 and 324:
ATMOSPHERIC ELECTRICITY 299 unusual
Page 325 and 326:
THE LIGHTNING FLASH 301 absolutely
Page 327 and 328:
ELECTRICAL CAPACITY 303 regard to e
Page 329 and 330:
LIGHTNING RODS 305 well acquainted
Page 331 and 332:
McFAIT'S EXPERIMENTS IN 1752 307 ma
Page 333 and 334:
DESTRUCTIVE EFFECTS OF LIGHTNING 30
Page 335 and 336:
FORKED LIGHTNING 311 " Diespiter Ig
Page 337 and 338:
FIRE BALLS 313 mettions a nier tout
Page 339 and 340:
SOURCE OF HIGH POTENTIAL 315 First
Page 341 and 342:
VOLCANIC ERUPTIONS 317 peals of thu
Page 343 and 344:
INSTABILITY IN THE ATMOSPHERE 319 H
Page 345 and 346:
MIRAGE 321 STATE OF THE ATMOSPHERE
Page 347 and 348:
SCORESBY'S SKETCHES 323 drawings is
Page 351 and 352:
CURVE OF VERTICES 325 employ the cu
Page 353 and 354:
TEMPERATURE GRADIENT IN AIR ;27 in
Page 355 and 356:
GOLF 329 LONG DRIVING (From the Bad
Page 357 and 358:
CONDITIONS OF IMPACT 331 dynamical
Page 359 and 360:
FAULTS OF STROKE 333 when free lies
Page 361 and 362:
SIMPLE THEORY OF PROJECTILES 335 Su
Page 363 and 364:
TRAJFXTORIES FOR VARIOUS SPEEDS 337
Page 365 and 366:
EFFECT OF ROTATION 339 different pl
Page 367 and 368:
THE TRUE TRAJECTORY 341 out upon to
Page 369 and 370:
INFLUENCE OF WIND 343 tops, made of
Page 371 and 372:
THERMOELECTRICITY 345 luminous and
Page 373 and 374:
THE EVENING CLUB 347 absolute tempe
Page 375 and 376:
"RECENT ADVANCES" 349 members has b
Page 377 and 378:
BIBLIOGRAPHY Before his last illnes
Page 379 and 380:
BIBLIOGRAPHY 353 38. On the Value o
Page 381 and 382:
BIRIJOGRAPHY 355 84. Address to the
Page 383 and 384:
BIBLIOGRAPHY 357 air. (c) On the el
Page 385 and 386:
191. Maxwell's Scientific Work. 188
Page 387 and 388:
BIBLIOGRAPHY 361 249. Note on a sin
Page 389 and 390:
BIBLIOGRAPHY 363 307. On the relati
Page 391:
BIBLIOGRAPHY 365 LIST OF BOOKS WHOL
Page 394 and 395:
368 Black, Joseph, work on heat, 21
Page 396 and 397:
570 Dynamical Equivalent of heat, M
Page 398 and 399:
372 Hamilton, Sir W., ambassador at
Page 400 and 401:
374 Magnetism, nature of, 297 Magne
Page 402 and 403:
376 Prizes, Keith and Gunning Victo
Page 404 and 405:
378 on Radiation, 216, 217, 225 ; o
Page 409 and 410:
QC Knott, Cargill Gllston 16 Life a
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