Verfügbarkeit: Geometric tomography | Technische Universität München

Geometric tomography:

Gespeichert in:

Bibliographische Detailangaben
Beteilige Person:	Gardner, Richard J. 1949- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Cambridge Cambridge Univ. Press 2006
Ausgabe:	2. ed.
Schriftenreihe:	Encyclopedia of mathematics and its applications 58
Schlagwörter:	Matemática aplicada Medicina Meetkunde Tomografie Tomographie (Mathématiques) Geometric tomography Konvexe Geometrie Geometrie Computertomografie Integralgeometrie Mathematisches Modell Statistik
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015622709&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XXI, 492 S. Ill., graph. Darst.
ISBN:	0521684935 9780521684934 0521866804 9780521866804

Internformat

MARC


LEADER	00000nam a2200000 cb4500
001	BV022414284
003	DE-604
005	20180611
007	t\|
008	070507s2006 xx ad\|\| s\|\|\| 00\|\|\| eng d
020			\|a 0521684935 \|c pbk \|9 0-521-68493-5
020			\|a 9780521684934 \|c pbk: EUR 63.90 \|9 978-0-521-68493-4
020			\|a 0521866804 \|c hbk \|9 0-521-86680-4
020			\|a 9780521866804 \|9 978-0-521-86680-4
035			\|a (OCoLC)63245481
035			\|a (DE-599)BVBBV022414284
040			\|a DE-604 \|b ger \|e rakwb
041	0		\|a eng
049			\|a DE-29T \|a DE-634 \|a DE-384 \|a DE-91G \|a DE-83 \|a DE-706
050		0	\|a QA639.5
082	0		\|a 516.3/62 \|2 22
084			\|a SK 380 \|0 (DE-625)143235: \|2 rvk
084			\|a 44A12 \|2 msc
084			\|a 53C05 \|2 msc
084			\|a MAT 525f \|2 stub
084			\|a MED 385f \|2 stub
100	1		\|a Gardner, Richard J. \|d 1949- \|e Verfasser \|0 (DE-588)1032386029 \|4 aut
245	1	0	\|a Geometric tomography
250			\|a 2. ed.
264		1	\|a Cambridge \|b Cambridge Univ. Press \|c 2006
300			\|a XXI, 492 S. \|b Ill., graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Encyclopedia of mathematics and its applications \|v 58
650		7	\|a Matemática aplicada \|2 larpcal
650		7	\|a Medicina \|2 larpcal
650		7	\|a Meetkunde \|2 gtt
650		7	\|a Tomografie \|2 gtt
650		4	\|a Tomographie (Mathématiques)
650		4	\|a Geometric tomography
650	0	7	\|a Konvexe Geometrie \|0 (DE-588)4407260-0 \|2 gnd \|9 rswk-swf
650	0	7	\|a Tomografie \|0 (DE-588)4078351-0 \|2 gnd \|9 rswk-swf
650	0	7	\|a Geometrie \|0 (DE-588)4020236-7 \|2 gnd \|9 rswk-swf
650	0	7	\|a Computertomografie \|0 (DE-588)4113240-3 \|2 gnd \|9 rswk-swf
650	0	7	\|a Integralgeometrie \|0 (DE-588)4161911-0 \|2 gnd \|9 rswk-swf
650	0	7	\|a Mathematisches Modell \|0 (DE-588)4114528-8 \|2 gnd \|9 rswk-swf
655		7	\|0 (DE-588)4056995-0 \|a Statistik \|2 gnd-content
689	0	0	\|a Computertomografie \|0 (DE-588)4113240-3 \|D s
689	0	1	\|a Konvexe Geometrie \|0 (DE-588)4407260-0 \|D s
689	0		\|5 DE-604
689	1	0	\|a Geometrie \|0 (DE-588)4020236-7 \|D s
689	1	1	\|a Tomografie \|0 (DE-588)4078351-0 \|D s
689	1	2	\|a Mathematisches Modell \|0 (DE-588)4114528-8 \|D s
689	1		\|8 1\p \|5 DE-604
689	2	0	\|a Integralgeometrie \|0 (DE-588)4161911-0 \|D s
689	2	1	\|a Computertomografie \|0 (DE-588)4113240-3 \|D s
689	2		\|8 2\p \|5 DE-604
689	3	0	\|a Tomografie \|0 (DE-588)4078351-0 \|D s
689	3	1	\|a Konvexe Geometrie \|0 (DE-588)4407260-0 \|D s
689	3		\|8 3\p \|5 DE-604
830		0	\|a Encyclopedia of mathematics and its applications \|v 58 \|w (DE-604)BV000903719 \|9 58
856	4	2	\|m HEBIS Datenaustausch Darmstadt \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015622709&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
883	1		\|8 2\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
883	1		\|8 3\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
943	1		\|a oai:aleph.bib-bvb.de:BVB01-015622709

Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 525f 2001 A 33976(2) 0104 MAT 525f 2001 A 33976(2)
DE-BY-TUM_katkey	1757355
DE-BY-TUM_location	01
DE-BY-TUM_media_number	040010204801 040010204798
_version_	1821933342057037824
adam_text	ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS GEOMETRIC TOMOGRAPHY SECOND EDITION RICHARD J. GARDNER WESTERN WASHINGTON UNIVERSITY CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE TO THE SECOND EDITION PAGE XV PREFACE XVII 0 BACKGROUND MATERIAL 1 0.1 BASIC CONCEPTS AND TERMINOLOGY 1 0.2 TRANSFORMATIONS 3 0.3 BASIC CONVEXITY 6 0.4 THE HAUSDORFF METRIC 9 0.5 MEASURE AND INTEGRATION 10 0.6 THE SUPPORT FUNCTION 16 0.7 STAR SETS AND THE RADIAL FUNCTION 18 0.8 POLAR DUALITY 20 0.9 DIFFERENTIABILITY PROPERTIES 22 1 PARALLEL X-RAYS OF PLANAR CONVEX BODIES 28 1.1 WHAT IS AN X-RAY? 28 1.2 X-RAYS AND STEINER SYMMETRALS OF PLANAR CONVEX BODIES 29 OPEN PROBLEMS * 52 NOTES 52 1.1. COMPUTERIZED TOMOGRAPHY 52 1.2. PARALLEL X-RAYS AND STEINER SYMMETRALS OF CONVEX BODIES 54 1.3. EXACT RECONSTRUCTION 55 1.4. WELL-POSEDNESS AND STABILITY 56 1.5. RECONSTRUCTION OF CONVEX BODIES FROM POSSIBLY NOISY DATA 5 7 1.6. GEOMETRIC PROBING 58 1.7. JAKOB STEINER (1796-1863) 59 X CONTENTS 2 PARALLEL X-RAYS IN N DIMENSIONS 60 2.1 PARALLEL X-RAYS AND &-SYMMETRALS 61 2.2 X-RAYS OF CONVEX BODIES IN E N 65 2.3 X-RAYS OF BOUNDED MEASURABLE SETS 69 OPEN PROBLEMS 86 NOTES 87 2.1. PARALLEL X-RAYS AND K-SYMMETRALS OF CONVEX BODIES 87 2.2. SWITCHING COMPONENTS AND DISCRETE TOMOGRAPHY 88 2.3. PARALLEL X-RAYS AND K-SYMMETRALS OF MEASURABLE SETS 91 2.4. BLASCHKE SHAKING 92 2.5. RECONSTRUCTION OF POLYGONS AND POLYHEDRA FROM POSSIBLY NOISY X-RAYS 93 2.6. RIDGE FUNCTIONS AND THE ADDITIVITY CONJECTURE 94 2.7. X-RAYS OF BOUNDED DENSITY FUNCTIONS 94 2.8. JOHANN RADON (1887-1956) 95 3 PROJECTIONS AND PROJECTION FUNCTIONS 97 3.1 HOMOTHETIC AND SIMILAR PROJECTIONS 98 3.2 THE WIDTH FUNCTION AND CENTRAL SYMMETRAL 106 3.3 PROJECTION FUNCTIONS AND THE BLASCHKE BODY 110 OPEN PROBLEMS 125 NOTES 126 3.1. HOMOTHETIC AND SIMILAR PROJECTIONS 126 3.2. BODIES WITH CONGRUENT OR AFFINELY EQUIVALENT PROJECTIONS 128 3.3. SETS OF CONSTANT WIDTH AND BRIGHTNESS 129 3.4. BLASCHKE BODIES AND BLASCHKE SUMS 130 3.5. DETERMINATION BY ONE PROJECTION FUNCTION 131 3.6. DETERMINATION BY MORE THAN ONE PROJECTION FUNCTION 132 3.7. DETERMINATION BY DIRECTED PROJECTION FUNCTIONS, ETC 134 3.8. RECONSTRUCTION 135 3.9. MEAN PROJECTION BODIES 137 3.10. PROJECTIONS OF CONVEX POLY TOPES 137 3.11. CRITICAL PROJECTIONS 138 3.12. ALMOST-SPHERICAL OR ALMOST-ELLIPSOIDAL PROJECTIONS, AND RELATED RESULTS 138 3.13. ALEKSANDER DANILOVICH ALEKSANDROV (1912-1999) 139 4 PROJECTION BODIES AND VOLUME INEQUALITIES 141 4.1 PROJECTION BODIES AND RELATED CONCEPTS 142 4.2 SMALLER BODIES WITH LARGER PROJECTIONS 154 4.3 STABILITY 164 CONTENTS XI 4.4 RECONSTRUCTION FROM BRIGHTNESS FUNCTIONS 171 OPEN PROBLEMS 180 NOTES 180 4.1. PROJECTION BODIES AND ZONOIDS 180 4.2. THE FOURIER TRANSFORM APPROACH I: THE BRIGHTNESS FUNCTION AND PROJECTION BODIES 182 4.3. THE MINKOWSKI MAP AND MINKOWSKI LINEAR COMBINATIONS OF PROJECTION BODIES 183 4.4. GENERALIZED ZONOIDS 184 4.5. BODIES WHOSE PROJECTIONS ARE ZONOIDS 185 4.6. PROJECTION BODIES OF ORDER I 185 4.7. THE L P -BRUNN-MINKOWSKI THEORY AND L P -PROJECTION BODIES 186 4.8. CHARACTERIZATIONS IN TERMS OF MIXED VOLUMES 186 4.9. RESULTS RELATED TO ALEKSANDROV S PROJECTION THEOREM 187 4.10. SMALLER BODIES WITH LARGER PROJECTIONS 187 4.11. STABILITY RESULTS 189 4.12. RECONSTRUCTION FROM BRIGHTNESS FUNCTIONS 190 4.13. HERMANN MINKOWSKI (1864-1909) 192 POINT X-RAYS 194 5.1 POINT X-RAYS AND CHORDAL SYMMETRALS 195 5.2 THE X-RAY OF ORDER / 201 5.3 POINT X-RAYS OF PLANAR CONVEX BODIES 206 5.4 X-RAYS IN THE PROJECTIVE PLANE 221 OPEN PROBLEMS 225 NOTES 226 5.1. POINT X-RAYS AND CHORDAL SYMMETRALS 226 5.2. POINT X-RAYS OF PLANAR CONVEX BODIES 226 5.3. RECONSTRUCTION 227 5.4. WELL-POSEDNESS 228 5.5. POINT X-RAYS IN HIGHER DIMENSIONS 228 5.6. DISCRETE POINT X-RAYS 228 5.7. POINT PROJECTIONS 229 5.8. WILHELM SUSS (1895-1958) AND THE JAPANESE SCHOOL 229 CHORD FUNCTIONS AND EQUICHORDAL PROBLEMS 232 6.1 /-CHORD FUNCTIONS AND /-CHORDAL SYMMETRALS 233 6.2 CHORD FUNCTIONS OF STAR SETS 237 6.3 EQUICHORDAL PROBLEMS 254 OPEN PROBLEMS 264 NOTES 264 6.1. CHORD FUNCTIONS, I-CHORDAL SYMMETRALS, AND ITH RADIAL SUMS 264 XII CONTENTS 6.2. CHORD FUNCTIONS OF STAR SETS 265 6.3. EQUICHORDAL PROBLEMS 265 6.4. WILHELM BLASCHKE (1885-1962) 267 7 SECTIONS, SECTION FUNCTIONS, AND POINT X-RAYS 269 7.1 HOMOTHETIC AND SIMILAR SECTIONS 270 7.2 SECTION FUNCTIONS AND POINT X-RAYS 276 7.3 POINT X-RAYS OF MEASURABLE SETS 286 OPEN PROBLEMS 288 NOTES 289 7.1. HOMOTHETIC AND SIMILAR SECTIONS 289 7.2. BODIES WITH CONGRUENT OR AFFINELY EQUIVALENT SECTIONS 290 7.3. SETS OF CONSTANT SECTION 290 7.4. DETERMINATION BY SECTION FUNCTIONS 290 7.5. DETERMINATION BY HALF-VOLUMES 291 7.6. POINT X-RAYS OF MEASURABLE SETS 293 7.7. SECTIONS OF CONVEX POLYTOPES 294 7.8. CRITICAL SECTIONS 295 7.9. ALMOST-SPHERICAL OR ALMOST-ELLIPSOIDAL SECTIONS 296 7.10. A CHARACTERIZATION OF STAR-SHAPED SETS 297 7.11. SECTIONS BY OTHER SETS OF PLANES 297 7.12. INTEGRAL GEOMETRY 299 7.13. MEAN SECTION BODIES 300 7.14. STEREOLOGY 301 7.15. LOCAL STEREOLOGY 301 7.16. PAUL FUNK (1886-1969) 303 8 INTERSECTION BODIES AND VOLUME INEQUALITIES 304 8.1 INTERSECTION BODIES OF STAR BODIES 305 8.2 LARGER BODIES WITH SMALLER SECTIONS 324 8.3 CROSS-SECTION BODIES 334 OPEN PROBLEMS 336 NOTES 337 8.1. INTERSECTION BODIES 337 8.2. THE FOURIER TRANSFORM APPROACH II: THE SECTION FUNCTION AND INTERSECTION BODIES 340 8.3. THE MAP I 340 8.4. GENERALIZED INTERSECTION BODIES 340 8.5. BODIES WHOSE CENTRAL SECTIONS ARE INTERSECTION BODIES 341 8.6. INTERSECTION BODIES OF ORDER I 341 8.7. K-INTERSECTION BODIES AND RELATED NOTIONS 341 8.8. CHARACTERIZATIONS IN TERMS OF DUAL MIXED VOLUMES 342 CONTENTS XIII 8.9. LARGER BODIES WITH SMALLER SECTIONS I: THE BUSEMANN-PETTY PROBLEM 343 8.10. LARGER BODIES WITH SMALLER SECTIONS II: GENERALIZATIONS AND VARIANTS OF THE BUSEMANN-PETTY PROBLEM 345 8.11. STABILITY RESULTS 346 8.12. CROSS-SECTION BODIES 346 8.13. PROBLEMS INVOLVING BOTH PROJECTIONS AND SECTIONS 348 8.14. HERBERT BUSEMANN (1905-1994) 348 9 ESTIMATES FROM PROJECTION AND SECTION FUNCTIONS 350 9.1 CENTROID BODIES 351 9.2 SOME AFFINE ISOPERIMETRIC INEQUALITIES 355 9.3 VOLUME ESTIMATES FROM PROJECTION FUNCTIONS 362 9.4 VOLUME ESTIMATES FROM SECTION FUNCTIONS 370 OPEN PROBLEMS 375 NOTES 376 9.1. CENTROID BODIES AND POLAR PROJECTION BODIES 376 9.2. THE FLOATING BODY PROBLEM 376 9.3. AJFINE SURFACE AREA, THE COVARIOGRAM, AND CONVOLUTION AND SECTIONAL BODIES 311 9.4. AFFINE ISOPERIMETRIC INEQUALITIES 379 9.5. THE L P -BRUNNMINKOWSKI THEORY: CENTROID BODIES, ELLIPSOIDS, AND INEQUALITIES 380 9.6. VOLUME ESTIMATES FROM PROJECTION FUNCTIONS 382 9.7. VOLUME ESTIMATES FROM SECTION FUNCTIONS 384 9.8. THE SLICING PROBLEM 385 9.9. CENTRAL LIMIT THEOREMS FOR CONVEX BODIES 387 9.10. ESTIMATES CONCERNING BOTH PROJECTIONS AND SECTIONS 388 9.11. ESTIMATES FOR INRADIUS AND CIRCUMRADIUS 389 9.12. HUGO HADWIGER (1908-1981) 389 APPENDIXES A MIXED VOLUMES AND DUAL MIXED VOLUMES 391 A.I AN EXAMPLE 392 A.2 AREA MEASURES 395 A. 3 MIXED VOLUMES AND MIXED AREA MEASURES 397 A.4 RECONSTRUCTION FROM SURFACE AREA MEASURES 401 A.5 QUERMASSINTEGRALS AND INTRINSIC VOLUMES 403 A.6 PROJECTION FORMULAS 406 A.7 DUAL MIXED VOLUMES 409 XIV CONTENTS B INEQUALITIES 413 B.I INEQUALITIES INVOLVING MEANS AND SUMS 413 B.2 THE BRUNN-MINKOWSKI INEQUALITY 415 B.3 THE ALEKSANDROV-FENCHEL INEQUALITY 419 B.4 THE DUAL ALEKSANDROV-FENCHEL INEQUALITY 420 B.5 OTHER INEQUALITIES 422 C INTEGRAL TRANSFORMS 424 C.I X-RAY TRANSFORMS 424 C.2 THE COSINE AND SPHERICAL RADON TRANSFORMS 427 OPEN PROBLEM 436 REFERENCES 437 NOTATION 471 AUTHOR INDEX 476 SUBJECT INDEX 482
any_adam_object	1
author	Gardner, Richard J. 1949-
author_GND	(DE-588)1032386029
author_facet	Gardner, Richard J. 1949-
author_role	aut
author_sort	Gardner, Richard J. 1949-
author_variant	r j g rj rjg
building	Verbundindex
bvnumber	BV022414284
callnumber-first	Q - Science
callnumber-label	QA639
callnumber-raw	QA639.5
callnumber-search	QA639.5
callnumber-sort	QA 3639.5
callnumber-subject	QA - Mathematics
classification_rvk	SK 380
classification_tum	MAT 525f MED 385f
ctrlnum	(OCoLC)63245481 (DE-599)BVBBV022414284
dewey-full	516.3/62
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	516 - Geometry
dewey-raw	516.3/62
dewey-search	516.3/62
dewey-sort	3516.3 262
dewey-tens	510 - Mathematics
discipline	Mathematik Medizin
edition	2. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03117nam a2200769 cb4500</leader><controlfield tag="001">BV022414284</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20180611 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">070507s2006 xx ad\|\| s\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521684935</subfield><subfield code="c">pbk</subfield><subfield code="9">0-521-68493-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521684934</subfield><subfield code="c">pbk: EUR 63.90</subfield><subfield code="9">978-0-521-68493-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521866804</subfield><subfield code="c">hbk</subfield><subfield code="9">0-521-86680-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521866804</subfield><subfield code="9">978-0-521-86680-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)63245481</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV022414284</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA639.5</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/62</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 380</subfield><subfield code="0">(DE-625)143235:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">44A12</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">53C05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 525f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MED 385f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gardner, Richard J.</subfield><subfield code="d">1949-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1032386029</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Geometric tomography</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXI, 492 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Encyclopedia of mathematics and its applications</subfield><subfield code="v">58</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Matemática aplicada</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Medicina</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Meetkunde</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Tomografie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Tomographie (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometric tomography</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konvexe Geometrie</subfield><subfield code="0">(DE-588)4407260-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Tomografie</subfield><subfield code="0">(DE-588)4078351-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Geometrie</subfield><subfield code="0">(DE-588)4020236-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Computertomografie</subfield><subfield code="0">(DE-588)4113240-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Integralgeometrie</subfield><subfield code="0">(DE-588)4161911-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4056995-0</subfield><subfield code="a">Statistik</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Computertomografie</subfield><subfield code="0">(DE-588)4113240-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Konvexe Geometrie</subfield><subfield code="0">(DE-588)4407260-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Geometrie</subfield><subfield code="0">(DE-588)4020236-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Tomografie</subfield><subfield code="0">(DE-588)4078351-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Integralgeometrie</subfield><subfield code="0">(DE-588)4161911-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Computertomografie</subfield><subfield code="0">(DE-588)4113240-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Tomografie</subfield><subfield code="0">(DE-588)4078351-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="1"><subfield code="a">Konvexe Geometrie</subfield><subfield code="0">(DE-588)4407260-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Encyclopedia of mathematics and its applications</subfield><subfield code="v">58</subfield><subfield code="w">(DE-604)BV000903719</subfield><subfield code="9">58</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015622709&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-015622709</subfield></datafield></record></collection>
genre	(DE-588)4056995-0 Statistik gnd-content
genre_facet	Statistik
id	DE-604.BV022414284
illustrated	Illustrated
indexdate	2024-12-20T12:54:52Z
institution	BVB
isbn	0521684935 9780521684934 0521866804 9780521866804
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-015622709
oclc_num	63245481
open_access_boolean
owner	DE-29T DE-634 DE-384 DE-91G DE-BY-TUM DE-83 DE-706
owner_facet	DE-29T DE-634 DE-384 DE-91G DE-BY-TUM DE-83 DE-706
physical	XXI, 492 S. Ill., graph. Darst.
publishDate	2006
publishDateSearch	2006
publishDateSort	2006
publisher	Cambridge Univ. Press
record_format	marc
series	Encyclopedia of mathematics and its applications
series2	Encyclopedia of mathematics and its applications
spellingShingle	Gardner, Richard J. 1949- Geometric tomography Encyclopedia of mathematics and its applications Matemática aplicada larpcal Medicina larpcal Meetkunde gtt Tomografie gtt Tomographie (Mathématiques) Geometric tomography Konvexe Geometrie (DE-588)4407260-0 gnd Tomografie (DE-588)4078351-0 gnd Geometrie (DE-588)4020236-7 gnd Computertomografie (DE-588)4113240-3 gnd Integralgeometrie (DE-588)4161911-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd
subject_GND	(DE-588)4407260-0 (DE-588)4078351-0 (DE-588)4020236-7 (DE-588)4113240-3 (DE-588)4161911-0 (DE-588)4114528-8 (DE-588)4056995-0
title	Geometric tomography
title_auth	Geometric tomography
title_exact_search	Geometric tomography
title_full	Geometric tomography
title_fullStr	Geometric tomography
title_full_unstemmed	Geometric tomography
title_short	Geometric tomography
title_sort	geometric tomography
topic	Matemática aplicada larpcal Medicina larpcal Meetkunde gtt Tomografie gtt Tomographie (Mathématiques) Geometric tomography Konvexe Geometrie (DE-588)4407260-0 gnd Tomografie (DE-588)4078351-0 gnd Geometrie (DE-588)4020236-7 gnd Computertomografie (DE-588)4113240-3 gnd Integralgeometrie (DE-588)4161911-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd
topic_facet	Matemática aplicada Medicina Meetkunde Tomografie Tomographie (Mathématiques) Geometric tomography Konvexe Geometrie Geometrie Computertomografie Integralgeometrie Mathematisches Modell Statistik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015622709&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000903719
work_keys_str_mv	AT gardnerrichardj geometrictomography

Verfügbarkeit

Bestellen (Login erforderlich)

Inhaltsverzeichnis
Paper/Kapitel scannen lassen

Teilbibliothek Mathematik & Informatik

Bestandsangaben von Teilbibliothek Mathematik & Informatik
Signatur:	0102 MAT 525f 2001 A 33976(2) Lageplan 0104 MAT 525f 2001 A 33976(2) Lageplan
Exemplar 1	Ausleihbar Am Standort
Exemplar 1	Nicht ausleihbar Am Standort