Knowledge

Carl Gustav Axel Harnack

Source đź“ť

331: 362: 25: 122: 236:, where he acquired a professorship in the Polytechnikum, which became a technical university in 1890. Harnack suffered from health problems from 1882 onwards, forcing him to spend long periods in a 458: 438: 399: 346: 349:
Boundary Value Problems (2007), Article ID 81415. (An article on Harnack's inequality that contains a biography of Axel Harnack in the introduction).
448: 453: 443: 89: 61: 42: 392: 68: 75: 463: 385: 433: 108: 57: 46: 277:
Die Grundlagen der Theorie des logarithmischen Potentiales und der eindeutigen Potentialfunktion in der Ebene
224:. He published his Ph.D. thesis in 1875 and received the right to teach (venia legendi) at the University of 133: 428: 248: 178: 82: 247:
in harmonic analysis and in related discrete and probabilistic contexts are named after him, as are
240:. He published 29 scientific articles and was a well-known mathematician at the time of his death. 373: 295: 170: 162: 35: 252: 315: 423: 418: 213: 8: 316:"An Introduction to the Study of the Elements of the Differential and Integral Calculus" 276: 260: 244: 197: 283:
An introduction to the study of the elements of the differential and integral calculus
264: 201: 166: 228:
the same year. One year later he accepted a position at the Technical University of
335: 182: 158: 369: 340: 209: 282: 412: 256: 154: 151: 221: 174: 361: 237: 229: 24: 217: 194: 233: 225: 147: 232:. In 1877 he married Elisabeth von Ă–ttingen, and they moved to 205: 137: 121: 285:
Cathcart, George Lambert, tr. (Williams and Norgate, 1891)
49:. Unsourced material may be challenged and removed. 459:Academic staff of Technische Universität Darmstadt 341:Axel Harnack at the mathematical genealogy project 410: 216:(where his father was a professor), he moved to 368:This article about a German mathematician is a 141: 393: 439:Baltic-German people from the Russian Empire 204:(who long outlived him) - all of them from 400: 386: 332:Works by or about Carl Gustav Axel Harnack 318:London: Williams and Norgate, 1891, p. 6. 109:Learn how and when to remove this message 120: 16:Baltic German mathematician (1851–1888) 449:Mathematicians from the Russian Empire 411: 347:Harnack Inequalities: An Introduction 356: 47:adding citations to reliable sources 18: 314:Harnack, Axel; George L. Cathcart. 200:and the twin brother of theologian 13: 454:19th-century German mathematicians 14: 475: 444:Emigrants from the Russian Empire 325: 270: 360: 23: 34:needs additional citations for 308: 1: 301: 208:, now known as Tartu, in the 372:. You can help Knowledge by 263:is named after his brother, 188: 7: 289: 212:. After his studies at the 10: 480: 464:German mathematician stubs 355: 58:"Carl Gustav Axel Harnack" 136:25 April] 1851, 434:People from Kreis Dorpat 169:. He also worked on the 130:Carl Gustav Axel Harnack 249:Harnack's curve theorem 220:to become a student of 179:Harnack's curve theorem 171:real algebraic geometry 193:He was the son of the 183:plane algebraic curves 142: 126: 124: 296:Harnack's inequality 245:Harnack inequalities 214:University of Dorpat 163:Harnack's inequality 43:improve this article 253:Harnack's principle 157:who contributed to 261:Max Planck Society 198:Theodosius Harnack 167:harmonic functions 146:) – 3 April 1888, 127: 429:People from Tartu 381: 380: 265:Adolf von Harnack 202:Adolf von Harnack 132:(7 May [ 119: 118: 111: 93: 471: 402: 395: 388: 364: 357: 345:Moritz Kassman, 336:Internet Archive 319: 312: 159:potential theory 145: 114: 107: 103: 100: 94: 92: 51: 27: 19: 479: 478: 474: 473: 472: 470: 469: 468: 409: 408: 407: 406: 353: 328: 323: 322: 313: 309: 304: 292: 279:(Teubner, 1887) 273: 191: 115: 104: 98: 95: 52: 50: 40: 28: 17: 12: 11: 5: 477: 467: 466: 461: 456: 451: 446: 441: 436: 431: 426: 421: 405: 404: 397: 390: 382: 379: 378: 365: 351: 350: 343: 338: 327: 326:External links 324: 321: 320: 306: 305: 303: 300: 299: 298: 291: 288: 287: 286: 280: 272: 271:Selected works 269: 210:Russian Empire 190: 187: 117: 116: 31: 29: 22: 15: 9: 6: 4: 3: 2: 476: 465: 462: 460: 457: 455: 452: 450: 447: 445: 442: 440: 437: 435: 432: 430: 427: 425: 422: 420: 417: 416: 414: 403: 398: 396: 391: 389: 384: 383: 377: 375: 371: 366: 363: 359: 358: 354: 348: 344: 342: 339: 337: 333: 330: 329: 317: 311: 307: 297: 294: 293: 284: 281: 278: 275: 274: 268: 266: 262: 258: 257:Harnack medal 254: 250: 246: 241: 239: 235: 231: 227: 223: 219: 215: 211: 207: 203: 199: 196: 186: 184: 180: 176: 172: 168: 164: 160: 156: 155:mathematician 153: 152:Baltic German 149: 144: 139: 135: 131: 123: 113: 110: 102: 91: 88: 84: 81: 77: 74: 70: 67: 63: 60: â€“  59: 55: 54:Find sources: 48: 44: 38: 37: 32:This article 30: 26: 21: 20: 374:expanding it 367: 352: 310: 243:The various 242: 192: 175:plane curves 129: 128: 125:Axel Harnack 105: 96: 86: 79: 72: 65: 53: 41:Please help 36:verification 33: 424:1888 deaths 419:1851 births 222:Felix Klein 165:applied to 413:Categories 302:References 238:sanatorium 195:theologian 177:, proving 99:April 2007 69:newspapers 230:Darmstadt 189:Biography 181:for real 290:See also 218:Erlangen 150:) was a 334:at the 259:of the 234:Dresden 226:Leipzig 148:Dresden 83:scholar 255:. The 206:Dorpat 138:Dorpat 85:  78:  71:  64:  56:  143:Tartu 140:(now 90:JSTOR 76:books 370:stub 251:and 134:O.S. 62:news 173:of 45:by 415:: 267:. 185:. 161:. 401:e 394:t 387:v 376:. 112:) 106:( 101:) 97:( 87:· 80:· 73:· 66:· 39:.

Index


verification
improve this article
adding citations to reliable sources
"Carl Gustav Axel Harnack"
news
newspapers
books
scholar
JSTOR
Learn how and when to remove this message

O.S.
Dorpat
Dresden
Baltic German
mathematician
potential theory
Harnack's inequality
harmonic functions
real algebraic geometry
plane curves
Harnack's curve theorem
plane algebraic curves
theologian
Theodosius Harnack
Adolf von Harnack
Dorpat
Russian Empire
University of Dorpat

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑