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Beyond Infinity (mathematics book)

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reviewer Sam Kean writes that its "chatty tone keeps things fresh". It is aimed at a popular audience, not assumed to have a significant background in mathematics, including "the young or those brimming with curiosity" as well as college or secondary-school students, although it may be "too
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The mathematics is frequently lightened and made accessible with personal experiences and stories, involving such subjects as the
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As similar reading material, reviewer Andrew James Simoson suggests placing this book alongside
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The book is divided into two parts, with the first exploring notions leading to concepts of
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of spaces, and the possibility of spaces of infinite dimensions, with a mention of
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in 2017, and in a paperback edition in 2018. It was shortlisted for the
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Beyond Infinity : An Expedition to the Outer Limits of Mathematics
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Beyond Infinity: An Expedition to the Outer Limits of the Mathematical
101:, concrete but infinite mathematical values. After an exploration of 136:
The second part concerns mathematics related to the idea of
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2017 Royal Society Insight Investment Science Book Prize
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elementary for mathematicians or mathematics students".
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2017 Royal Society Insight Investment Science Book Prize
46: 36: 8: 362: 360: 358: 356: 354: 19: 288: 286: 284: 282: 280: 278: 276: 25: 18: 321: 319: 317: 315: 250: 248: 246: 244: 81:and (with a slightly different title) by 388: 386: 240: 421: 419: 417: 326:Haworth, Anne (June 2021), "Review of 379:, Mathematical Association of America 7: 123:Hilbert's paradox of the Grand Hotel 16:Popular mathematics book on infinity 428:"The Neverending Story (review of 14: 367:Guadarrama, Zdeňka (April 2019), 187:The Royal Society judges called 308:, European Mathematical Society 129:, and the unprovability of the 168:, Cheng's research specialty. 1: 152:. This part also discusses 514: 426:Kean, Sam (5 April 2017), 127:Cantor's diagonal argument 478:Popular mathematics books 216:One Two Three... Infinity 24: 333:The Mathematical Gazette 73:centered on concepts of 437:The Wall Street Journal 255:Simoson, Andrew James, 483:2017 non-fiction books 183:Audience and reception 166:higher category theory 119:transfinite arithmetic 105:, this part discusses 77:. It was published by 346:10.1017/mag.2021.100 131:continuum hypothesis 498:Profile Books books 203:The Book of Numbers 194:Wall Street Journal 67:popular mathematics 21: 225:Really Big Numbers 207:John Horton Conway 138:potential infinity 31:First edition (US) 493:Basic Books books 459:Publishers Weekly 398:by Eugenia Cheng" 294:Bultheel, Adhemar 173:Loch Ness Monster 56: 55: 505: 462: 461: 447: 441: 440: 423: 412: 411: 410: 409: 390: 381: 380: 364: 349: 348: 340:(563): 381–382, 323: 310: 309: 290: 271: 270: 252: 229:Richard Schwartz 154:Zeno's paradoxes 111:cardinal numbers 48:Publication date 29: 22: 20:Beyond Infinity 513: 512: 508: 507: 506: 504: 503: 502: 468: 467: 466: 465: 453:Beyond Infinity 449: 448: 444: 430:Beyond Infinity 425: 424: 415: 407: 405: 404:, Royal Society 392: 391: 384: 371:Beyond Infinity 366: 365: 352: 328:Beyond Infinity 325: 324: 313: 300:Beyond Infinity 292: 291: 274: 259:Beyond Infinity 254: 253: 242: 237: 189:Beyond Infinity 185: 150:infinite series 115:ordinal numbers 99:actual infinity 95: 49: 32: 17: 12: 11: 5: 511: 509: 501: 500: 495: 490: 485: 480: 470: 469: 464: 463: 442: 413: 382: 350: 311: 296:(April 2017), 272: 239: 238: 236: 233: 211:Richard K. Guy 184: 181: 103:number systems 94: 91: 54: 53: 50: 47: 44: 43: 38: 34: 33: 30: 15: 13: 10: 9: 6: 4: 3: 2: 510: 499: 496: 494: 491: 489: 486: 484: 481: 479: 476: 475: 473: 460: 456: 454: 446: 443: 439: 438: 433: 431: 422: 420: 418: 414: 403: 399: 397: 389: 387: 383: 378: 374: 372: 363: 361: 359: 357: 355: 351: 347: 343: 339: 335: 334: 329: 322: 320: 318: 316: 312: 307: 303: 301: 295: 289: 287: 285: 283: 281: 279: 277: 273: 269: 265: 261: 258: 251: 249: 247: 245: 241: 234: 232: 230: 226: 222: 218: 217: 212: 208: 204: 199: 196: 195: 190: 182: 180: 178: 174: 169: 167: 163: 159: 158:Dedekind cuts 155: 151: 147: 143: 139: 134: 132: 128: 124: 120: 116: 112: 108: 104: 100: 92: 90: 88: 84: 83:Profile Books 80: 76: 72: 71:Eugenia Cheng 68: 64: 63: 58: 51: 45: 42: 41:Eugenia Cheng 39: 35: 28: 23: 458: 452: 445: 435: 429: 406:, retrieved 401: 395: 376: 370: 337: 331: 327: 305: 299: 260: 256: 224: 223:(1947), and 221:George Gamow 214: 202: 200: 192: 188: 186: 170: 142:growth rates 135: 96: 61: 60: 59: 57: 451:"Review of 377:MAA Reviews 369:"Review of 306:EMS Reviews 298:"Review of 177:puff pastry 79:Basic Books 472:Categories 408:2021-08-29 257:Review of 235:References 162:dimensions 107:set theory 213:(1996), 488:Infinity 231:(2014). 75:infinity 69:book by 268:3617029 266:  160:, the 148:, and 146:limits 113:, and 93:Topics 37:Author 65:is a 209:and 52:2017 342:doi 338:105 330:", 227:by 219:by 205:by 474:: 457:, 434:, 432:)" 416:^ 400:, 385:^ 375:, 353:^ 336:, 314:^ 304:, 275:^ 264:MR 262:, 243:^ 175:, 156:, 144:, 133:. 125:, 117:, 109:, 89:. 455:" 394:" 373:" 344:: 302:"

Index


Eugenia Cheng
popular mathematics
Eugenia Cheng
infinity
Basic Books
Profile Books
2017 Royal Society Insight Investment Science Book Prize
actual infinity
number systems
set theory
cardinal numbers
ordinal numbers
transfinite arithmetic
Hilbert's paradox of the Grand Hotel
Cantor's diagonal argument
continuum hypothesis
potential infinity
growth rates
limits
infinite series
Zeno's paradoxes
Dedekind cuts
dimensions
higher category theory
Loch Ness Monster
puff pastry
Wall Street Journal
John Horton Conway
Richard K. Guy

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