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provide an enhanced vocabulary for the treatment of 15 classical topics of projective geometry. Furthermore, sections (14) projectivities with non-commutative fields, (22) quadrics over non-commutative fields, and (26)
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Amplifies and extends the 1953 text. For instance, in
Chapter 19, he notes “Trends in Integral Geometry” and includes “The integral geometry of
479:. Exercises distributed at an average rate of ten per section enhance the 36 instructional sections. Solutions are found on pages 343–64.
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formula and the isoperimetric inequality on surfaces of constant curvature. Ch. III. General integral geometry:
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Santaló, Luis
Antonio (2009), Naveira, Antonio M.; Reventós, Agustí; Birman, Graciela S.; et al. (eds.),
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315:: graphic properties, angles and distances, areas and curves. (This text develops the
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Chapter I. Metric integral geometry of the plane including densities and the
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embellish the classical study. The usual topics are covered such as (4)
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A curious feature of this book on projective geometry is the opening on
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on the plane: central-affine, unimodular affine, projective groups.
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301:
I. The
Elements of Euclid II. Non-Euclidean geometries III., IV.
508:
Santaló, L. A. (1949), "An affine invariant for convex bodies of
410:
at the end of 25 sections, with solutions on pages 347–65.
24:
1053:
Princess of
Asturias Award for Technical and Scientific Research
406:. Serious and coordinated study of this text is invited by 240
256:
74:
688:
Prince of
Asturias Award for Technical and Scientific Research
306:
111:
78:
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1020:
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204:, where he received his Ph.D. in 1936. His advisor was
267:
Luis Santaló published in both
English and Spanish:
189:(October 9, 1911 – November 22, 2001) was a Spanish
293:
282:. Ch. II. Integral geometry on surfaces including
1271:Academic staff of the University of Buenos Aires
1227:
1021:European Organization for Nuclear Research CERN
631:Fons Lluís Santaló, de la Universitat de Girona
31: and the second or maternal family name is
325:
658:
436:” (p. 345) which involves inverting the
322:VIII. Other models of non-Euclidean geometry
538:
239:. Blaschke and Santaló also collaborated on
543:Integral geometry and geometric probability
415:Integral Geometry and Geometric Probability
665:
651:
376:Fundamental theorem of projective geometry
48:
560:
445:Vectores y tensores con sus aplicaciones
637:DUGi Fons Especials. Fons Lluís Santaló
574:
507:
365:. These seven introductory sections on
1228:
1246:20th-century Argentine mathematicians
1051:
686:
677:for Technical and Scientific Research
646:
319:, the earliest instance of a model.)
675:Prince or Princess of Asturias Award
626:Santaló at the University of Litoral
235:is now cited in its connection with
1251:20th-century Spanish mathematicians
803:Instituto Nacional de Biodiversidad
577:Luis Antonio Santaló selected works
218:National University of the Littoral
13:
451:Includes standard vector algebra,
14:
1287:
827:Pedro Miguel Echenique Landiríbar
605:
272:Introduction to Integral Geometry
562:10.1090/s0002-9904-1977-14415-7
222:National University of La Plata
532:
501:
1:
616:Mathematics Genealogy Project
549:Bull. Amer. Math. Soc. (N.S.)
494:
212:, he moved to Argentina as a
1276:University of Hamburg alumni
23:, the first or paternal
7:
621:Rincon Matemático (Spanish)
482:
132:Blaschke–Santaló inequality
10:
1292:
541:"Review: Luis A. Santaló,
231:His work with Blaschke on
226:University of Buenos Aires
159:University of Buenos Aires
18:
1261:Scientists from Catalonia
1058:
1047:
733:Antonio González González
711:Luis Antonio Santaló Sors
693:
682:
295:Geometrias no Euclidianas
180:
164:
154:
144:
137:
127:
117:
107:
85:
56:
47:
40:
1094:Scientific Collaboration
799:Manuel Losada Villasante
775:Francisco Bolívar Zapata
280:isoperimetric inequality
262:
187:Luís Antoni Santaló Sors
61:Luís Antoni Santaló Sors
1185:Everett Peter Greenberg
837:Enrique Moreno González
781:Federico García Moliner
1256:Differential geometers
1064:Emmanuelle Charpentier
723:David Vázquez Martínez
717:Antonio Garcia-Bellido
400:non-Euclidean geometry
249:non-Euclidean geometry
200:and he studied at the
196:He graduated from the
993:Arturo Álvarez-Buylla
539:Chern, S. S. (1977).
512:-dimensional space",
202:University of Hamburg
122:University of Hamburg
16:Spanish mathematician
955:George M. Whitesides
579:, Berlin, New York:
477:Schwarzschild metric
461:Riemannian manifolds
367:algebraic structures
327:Geometria proyectiva
198:University of Madrid
1199:Jeffrey M. Friedman
1027:Avelino Corma Canós
823:Emilio Méndez Pérez
455:, introduction to
388:harmonic quadruples
339:laws of composition
313:Hyperbolic geometry
303:Projective geometry
253:projective geometry
997:Giacomo Rizzolatti
927:Juan Ignacio Cirac
727:Emilio Rosenblueth
473:general relativity
208:. Because of the
1223:
1222:
1219:
1218:
1195:Daniel J. Drucker
1181:Jeffrey I. Gordon
1119:Ingrid Daubechies
1109:Sandra Myrna Díaz
1043:
1042:
1007:Richard A. Lerner
969:Raymond Tomlinson
765:Santiago Grisolía
673:Laureates of the
590:978-3-540-89580-0
514:Portugaliae Math.
489:Santaló's formula
372:finite geometries
241:integral geometry
210:Spanish Civil War
184:
183:
139:Scientific career
89:November 22, 2001
1283:
1266:Textbook writers
1049:
1048:
1017:François Englert
875:Lawrence Roberts
869:Jean Weissenbach
793:Manuel Patarroyo
769:Salvador Moncada
753:Marcos Moshinsky
705:Manuel Ballester
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683:
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555:(6): 1289–1290.
536:
530:
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469:curvature tensor
429:
428:
424:
380:projective plane
335:abstract algebra
243:. Santaló wrote
206:Wilhelm Blaschke
171:Wilhelm Blaschke
166:Doctoral advisor
92:
70:
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52:
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37:
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1211:Svetlana Mojsov
1207:Jens Juul Holst
1203:Joel F. Habener
1163:Geoffrey Hinton
1127:Emmanuel Candès
1088:Barry C. Barish
1068:Jennifer Doudna
1054:
1039:
1035:Galen D. Stucky
921:Antonio Damasio
915:Robert Weinberg
911:Bert Vogelstein
887:Tim Berners-Lee
861:Francis Collins
810:Valentín Fuster
689:
678:
671:
608:
591:
581:Springer-Verlag
571:
570:
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506:
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453:vector analysis
449:
438:Radon transform
430:
426:
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402:, (22–4)
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118:Alma mater
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71:October 9, 1911
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1189:Bonnie Bassler
1177:
1175:Demis Hassabis
1159:
1141:Philip Felgner
1133:Katalin Karikó
1129:
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947:Shuji Nakamura
939:
933:Peter Lawrence
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879:Robert E. Kahn
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865:Hamilton Smith
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833:Ricardo Miledi
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606:External links
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516:(in Spanish),
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363:linear mapping
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191:mathematician
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51:
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39:
34:
30:
26:
22:
1149:Özlem Türeci
1105:Joanne Chory
1099:Svante Pääbo
1080:Rainer Weiss
979:Baruch Minke
975:David Julius
943:Sumio Iijima
937:Ginés Morata
893:Jane Goodall
857:John Sulston
853:Craig Venter
843:Robert Gallo
787:Amable Liñán
710:
699:Alberto Sols
612:Luis Santaló
576:
552:
548:
542:
534:
517:
513:
509:
503:
450:
444:
431:
414:
343:group theory
332:
326:
321:
311:V, VI, VII.
310:
300:
294:
277:
271:
266:
230:
195:
186:
185:
175:Pedro Pineda
155:Institutions
138:
97:Buenos Aires
91:(2001-11-22)
42:Luis Santaló
32:
28:
21:Spanish name
1241:2001 deaths
1236:1911 births
1123:Terence Tao
1013:Peter Higgs
959:Tobin Marks
903:Tony Hunter
883:Vinton Cerf
759:Guido Münch
520:: 155–161,
396:Klein model
384:cross-ratio
347:ring theory
317:Klein model
233:convex sets
149:Mathematics
108:Nationality
1230:Categories
1167:Yann LeCun
1145:Uğur Şahin
1115:Yves Meyer
1090:, and the
495:References
337:including
288:Lie groups
284:Blaschke's
67:1911-10-09
1074:Hugh Herr
816:Atapuerca
639:(Catalan)
633:(Catalan)
408:exercises
245:textbooks
214:professor
101:Argentina
483:See also
467:curves,
465:geodesic
404:quadrics
19:In this
614:at the
599:2547470
526:0039293
434:Gelfand
394:, (21)
390:, (18)
386:, (13)
382:, (12)
378:, (11)
257:tensors
216:in the
112:Spanish
29:Santaló
25:surname
1209:, and
1193:2024:
1187:, and
1179:2023:
1173:, and
1161:2022:
1155:, and
1131:2021:
1125:, and
1113:2020:
1103:2019:
1097:2018:
1078:2017:
1072:2016:
1062:2015:
1033:, and
1025:2014:
1019:, and
1011:2013:
1001:2012:
995:, and
987:2011:
981:, and
973:2010:
963:2009:
957:, and
941:2008:
931:2007:
925:2006:
919:2005:
913:, and
897:2004:
891:2003:
885:, and
873:2002:
867:, and
851:2001:
841:2000:
831:1999:
821:1998:
814:1997:
808:1996:
797:1995:
791:1994:
785:1993:
779:1992:
773:1991:
763:1990:
757:1989:
747:1988:
737:1987:
731:1986:
721:1985:
715:1984:
709:1983:
703:1982:
697:1981:
597:
587:
524:
447:(1977)
421:": -->
417:(1976)
351:fields
329:(1966)
307:conics
297:(1961)
274:(1953)
255:, and
145:Fields
75:Girona
263:Works
79:Spain
1107:and
1092:LIGO
1066:and
1005:and
967:and
935:and
845:and
835:and
825:and
801:and
767:and
751:and
741:and
725:and
585:ISBN
471:and
459:and
423:edit
361:and
305:and
224:and
86:Died
57:Born
33:Sors
557:doi
475:to
398:of
27:is
1232::
1205:,
1201:,
1197:,
1183:,
1169:,
1165:,
1151:,
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1143:,
1139:,
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1121:,
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949:,
945:,
909:,
905:,
901:,
881:,
877:,
863:,
859:,
855:,
595:MR
593:,
583:,
553:83
551:.
547:.
522:MR
463:,
440:.
357:,
353:,
349:,
345:,
341:,
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251:,
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220:,
193:.
99:,
77:,
666:e
659:t
652:v
565:.
559::
545:"
529:.
518:8
510:n
427:]
69:)
65:(
35:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
