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Detlef Laugwitz

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20: 355: 335: 330: 86: 315: 320: 350: 287: 174: 98: 94: 325: 272: 212: 90: 227:(translated by Abe Shenitzer with the editorial assistance of Hardy Grant, Sarah Shenitzer, and the author Detlev Laugwitz) 97:, where in 1962 he became a professor, and remained until his retirement. From 1976 to 1984 he was a visiting professor at 78: 126: 172:(1989), "Definite values of infinite sums: aspects of the foundations of infinitesimal analysis around 1820", 42: 109:
Laugwitz worked in differential geometry of infinite dimensional vector spaces (his dissertation) and in
266: 50: 38: 345: 340: 114: 46: 191: 125:. They described this as "infinitesimal mathematics" and leading back to the historical roots in 218: 208: 148: 254: 183: 130: 122: 110: 66: 309: 195: 118: 34: 31: 82: 159: 74: 19: 290:
Bernhard Riemann, 1826-1866: Turning points in the Conception of Mathematics
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Bernhard Riemann, 1826-1866: Turning points in the Conception of Mathematics
258: 187: 85:, where he received his doctorate in 1954. Until 1956 he worked in the 70: 62: 245:
Laugwitz, D. (1954). "Differentialgeometrie ohne Dimensionsaxiom".
18: 222: 152: 93:, where he obtained his Habilitation. In 1958 he moved to the 261:; (Differential geometry without the axiom of dimension) 147:(first ed.). New York: Academic Press New York. 336:
Academic staff of the Technical University of Munich
356:Academic staff of Technische Universität Darmstadt 129:. In 1996 he published the standard biography of 296:MAA Reviews, Mathematical Association of America 87:Mathematical Research Institute of Oberwolfach 8: 69:. Starting in 1949, he studied mathematics, 121:through field extensions, independently of 237: 286:Roberts, David P. (January 31, 2002). 264: 89:. In 1958 he became a lecturer at the 331:Technical University of Munich alumni 175:Archive for History of Exact Sciences 7: 145:Differential and Riemannian Geometry 316:20th-century German mathematicians 157:(translated by Fritz Steinhardt); 16:German mathematician and historian 14: 95:Technical University of Darmstadt 321:German historians of mathematics 117:developed their own approach to 161:2014 pbk reprint of 1st edition 351:20th-century German historians 91:Technical University of Munich 61:He was born on 11 May 1932 in 1: 37:and historian, who worked in 372: 271:: CS1 maint: postscript ( 79:Georg-August-University 326:Differential geometers 207:. Boston: Birkhäuser. 43:history of mathematics 24: 247:Mathematische Zeitung 203:Laugwitz, D. (1999). 143:Laugwitz, D. (1965). 51:non-standard analysis 39:differential geometry 22: 47:functional analysis 259:10.1007/BF01181336 188:10.1007/BF00329867 30:(1932–2000) was a 25: 113:. In 1958 he and 363: 300: 299: 283: 277: 276: 270: 262: 242: 226: 198: 165: 156: 131:Bernhard Riemann 123:Abraham Robinson 111:Finsler geometry 23:Detlef Laugwitz. 371: 370: 366: 365: 364: 362: 361: 360: 306: 305: 304: 303: 285: 284: 280: 263: 244: 243: 239: 234: 215: 202: 168: 158: 142: 139: 107: 59: 28:Detlef Laugwitz 17: 12: 11: 5: 369: 367: 359: 358: 353: 348: 343: 338: 333: 328: 323: 318: 308: 307: 302: 301: 278: 236: 235: 233: 230: 229: 228: 213: 200: 182:(3): 195–245, 166: 138: 135: 119:infinitesimals 115:Curt Schmieden 106: 103: 58: 55: 15: 13: 10: 9: 6: 4: 3: 2: 368: 357: 354: 352: 349: 347: 344: 342: 339: 337: 334: 332: 329: 327: 324: 322: 319: 317: 314: 313: 311: 297: 293: 291: 282: 279: 274: 268: 260: 256: 252: 248: 241: 238: 231: 224: 220: 216: 210: 206: 201: 197: 193: 189: 185: 181: 177: 176: 171: 167: 163: 162: 154: 150: 146: 141: 140: 136: 134: 132: 128: 124: 120: 116: 112: 104: 102: 100: 96: 92: 88: 84: 80: 76: 72: 68: 64: 56: 54: 52: 48: 44: 40: 36: 35:mathematician 33: 29: 21: 295: 289: 281: 267:cite journal 250: 246: 240: 204: 179: 173: 170:Laugwitz, D. 169: 160: 144: 137:Publications 108: 60: 27: 26: 346:2000 deaths 341:1932 births 288:"Review of 253:: 100–118. 310:Categories 232:References 214:0817640401 75:philosophy 196:120890300 83:Göttingen 57:Biography 223:98017834 153:64021670 127:Leibniz 99:Caltech 77:at the 71:physics 67:Germany 63:Breslau 221:  211:  194:  151:  73:, and 49:, and 32:German 192:S2CID 273:link 219:LCCN 209:ISBN 149:LCCN 105:Work 255:doi 184:doi 81:at 312:: 294:. 269:}} 265:{{ 251:61 249:. 217:. 190:, 180:39 178:, 133:. 101:. 65:, 53:. 45:, 41:, 298:. 292:" 275:) 257:: 225:. 199:. 186:: 164:. 155:.

Index


German
mathematician
differential geometry
history of mathematics
functional analysis
non-standard analysis
Breslau
Germany
physics
philosophy
Georg-August-University
Göttingen
Mathematical Research Institute of Oberwolfach
Technical University of Munich
Technical University of Darmstadt
Caltech
Finsler geometry
Curt Schmieden
infinitesimals
Abraham Robinson
Leibniz
Bernhard Riemann
LCCN
64021670
2014 pbk reprint of 1st edition
Laugwitz, D.
Archive for History of Exact Sciences
doi
10.1007/BF00329867

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