Holdings: Geometry :: THWS Bibkatalog

Geometry:

Saved in:

Bibliographic Details
Main Authors:	Lang, Serge 1927-2005 (Author), Murrow, Gene (Author)
Format:	Book
Language:	German
Published:	New York [u.a.] Springer 1997
Edition:	2. ed., 4. corr. reprint
Subjects:	Geometrie Géométrie euclidienne - Problèmes et exercices Géométrie euclidienne Geometry Lehrbuch
Online Access:	Inhaltsverzeichnis
Physical Description:	XII, 394 S. graph. Darst.
ISBN:	3540966544 0387966544

Staff View

MARC


LEADER	00000nam a2200000 c 4500
001	BV011426670
003	DE-604
005	20040315
007	t
008	970701s1997 gw d\|\|\| \|\|\|\| 00\|\|\| ger d
016	7		\|a 950599361 \|2 DE-101
020			\|a 3540966544 \|9 3-540-96654-4
020			\|a 0387966544 \|9 0-387-96654-4
035			\|a (OCoLC)37913186
035			\|a (DE-599)BVBBV011426670
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a ger
044			\|a gw \|c DE
049			\|a DE-703 \|a DE-20 \|a DE-1050 \|a DE-11
050		0	\|a QA445
082	0		\|a 516
084			\|a SK 380 \|0 (DE-625)143235: \|2 rvk
100	1		\|a Lang, Serge \|d 1927-2005 \|e Verfasser \|0 (DE-588)119305119 \|4 aut
245	1	0	\|a Geometry \|c Serge Lang ; Gene Murrow
250			\|a 2. ed., 4. corr. reprint
264		1	\|a New York [u.a.] \|b Springer \|c 1997
300			\|a XII, 394 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
650		7	\|a Geometrie \|2 lc
650		7	\|a Géométrie euclidienne - Problèmes et exercices \|2 ram
650		7	\|a Géométrie euclidienne \|2 ram
650		4	\|a Geometry
650	0	7	\|a Geometrie \|0 (DE-588)4020236-7 \|2 gnd \|9 rswk-swf
655		7	\|0 (DE-588)4123623-3 \|a Lehrbuch \|2 gnd-content
689	0	0	\|a Geometrie \|0 (DE-588)4020236-7 \|D s
689	0		\|5 DE-604
700	1		\|a Murrow, Gene \|e Verfasser \|4 aut
856	4	2	\|m GBV Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007683456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-007683456

Record in the Search Index

_version_	1804125941204516864
adam_text	SERGE LANG GENE MURROW GEOMETRY SECOND EDITION WITH 577 ILLUSTRATIONS SPRINGER CONTENTS INTRODUCTION IX CHAPTER 1 DISTANCE AND ANGLES 1 §1. LINES 1 §2. DISTANCE 8 §3. ANGLES 13 §4. PROOFS 29 §5. RIGHT ANGLES AND PERPENDICULARITY 36 §6. THE ANGLES OF A TRIANGLE 46 §7. AN APPLICATION: ANGLES OF REFLECTION 62 CHAPTER 2 COORDINATES 65 §1. COORDINATE SYSTEMS 65 §2. DISTANCE BETWEEN POINTS ON A LINE 71 §3. EQUATION OF A LINE 73 CHAPTER 3 AREA AND THE PYTHAGORAS THEOREM 81 §1. THE AREA OF A TRIANGLE 81 §2. THE PYTHAGORAS THEOREM 95 CHAPTER 4 THE DISTANCE FORMULA 110 §1. DISTANCE BETWEEN ARBITRARY POINTS 110 §2. HIGHER DIMENSIONAL SPACE 114 §3. EQUATION OF A CIRCLE 119 VI CONTENTS CHAPTER 5 SOME APPLICATIONS OF RIGHT TRIANGLES 123 §1. PERPENDICULAR BISECTOR 124 §2. ISOSCELES AND EQUILATERAL TRIANGLES 136 §3. THEOREMS ABOUT CIRCLES 148 CHAPTER 6 POLYGONS 162 §1. BASIC IDEAS 162 §2. CONVEXITY AND ANGLES 165 §3. REGULAR POLYGONS 169 CHAPTER 7 CONGRUENT TRIANGLES 177 §1. EUCLID S TESTS FOR CONGRUENCE 177 §2. SOME APPLICATIONS OF CONGRUENT TRIANGLES 192 §3. SPECIAL TRIANGLES 200 CHAPTER 8 DILATIONS AND SIMILARITIES 210 §1. DEFINITION 210 §2. CHANGE OF AREA UNDER DILATION 218 §3. CHANGE OF LENGTH UNDER DILATION 232 §4. THE CIRCUMFERENCE OF A CIRCLE 235 §5. SIMILAR TRIANGLES 245 CHAPTER 9 VOLUMES 261 §1. BOXES AND CYLINDERS 261 §2. CHANGE OF VOLUME UNDER DILATIONS 270 §3. CONES AND PYRAMIDS 274 §4. THE VOLUME OF THE BALL 281 §5. THE AREA OF THE SPHERE 290 CHAPTER 10 VECTORS AND DOT PRODUCT 295 §1. VECTOR ADDITION 296 §2. THE SCALAR PRODUCT 301 §3. PERPENDICULARITY 304 §4. PROJECTIONS 309 §5. ORDINARY EQUATION FOR A LINE 312 §6. THE 3-DIMENSIONAL CASE 316 §7. EQUATION FOR A PLANE IN 3-SPACE 319 CHAPTER 11 TRANSFORMATIONS 321 §1. INTRODUCTION 321 §2. SYMMETRY AND REFLECTIONS 324 §3. TERMINOLOGY 331 CONTENTS VII §4. REFLECTION THROUGH A LINE 332 §5. REFLECTION THROUGH A POINT 337 §6. ROTATIONS 340 §7. TRANSLATIONS 346 §8. TRANSLATIONS AND COORDINATES 348 CHAPTER 12 ISOMETRIES 356 §1. DEFINITIONS AND BASIC PROPERTIES 356 §2. RELATIONS WITH COORDINATES 363 §3. COMPOSITION OF ISOMETRIES 367 §4. DEFINITION OF CONGRUENCE 377 §5. PROOFS OF EUCLID S TESTS FOR CONGRUENT TRIANGLES 381 §6. ISOMETRIES AS COMPOSITIONS OF REFLECTIONS 384 INDEX 391
any_adam_object	1
author	Lang, Serge 1927-2005 Murrow, Gene
author_GND	(DE-588)119305119
author_facet	Lang, Serge 1927-2005 Murrow, Gene
author_role	aut aut
author_sort	Lang, Serge 1927-2005
author_variant	s l sl g m gm
building	Verbundindex
bvnumber	BV011426670
callnumber-first	Q - Science
callnumber-label	QA445
callnumber-raw	QA445
callnumber-search	QA445
callnumber-sort	QA 3445
callnumber-subject	QA - Mathematics
classification_rvk	SK 380
ctrlnum	(OCoLC)37913186 (DE-599)BVBBV011426670
dewey-full	516
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	516 - Geometry
dewey-raw	516
dewey-search	516
dewey-sort	3516
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	2. ed., 4. corr. reprint
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01616nam a2200457 c 4500</leader><controlfield tag="001">BV011426670</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20040315 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">970701s1997 gw d\|\|\| \|\|\|\| 00\|\|\| ger d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">950599361</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540966544</subfield><subfield code="9">3-540-96654-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387966544</subfield><subfield code="9">0-387-96654-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)37913186</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011426670</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-1050</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA445</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516</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="100" ind1="1" ind2=" "><subfield code="a">Lang, Serge</subfield><subfield code="d">1927-2005</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119305119</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Geometry</subfield><subfield code="c">Serge Lang ; Gene Murrow</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed., 4. corr. reprint</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 394 S.</subfield><subfield code="b">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="650" ind1=" " ind2="7"><subfield code="a">Geometrie</subfield><subfield code="2">lc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Géométrie euclidienne - Problèmes et exercices</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Géométrie euclidienne</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry</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="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" 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="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Murrow, Gene</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</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=007683456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007683456</subfield></datafield></record></collection>
genre	(DE-588)4123623-3 Lehrbuch gnd-content
genre_facet	Lehrbuch
id	DE-604.BV011426670
illustrated	Illustrated
indexdate	2024-07-09T18:09:33Z
institution	BVB
isbn	3540966544 0387966544
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007683456
oclc_num	37913186
open_access_boolean
owner	DE-703 DE-20 DE-1050 DE-11
owner_facet	DE-703 DE-20 DE-1050 DE-11
physical	XII, 394 S. graph. Darst.
publishDate	1997
publishDateSearch	1997
publishDateSort	1997
publisher	Springer
record_format	marc
spelling	Lang, Serge 1927-2005 Verfasser (DE-588)119305119 aut Geometry Serge Lang ; Gene Murrow 2. ed., 4. corr. reprint New York [u.a.] Springer 1997 XII, 394 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Geometrie lc Géométrie euclidienne - Problèmes et exercices ram Géométrie euclidienne ram Geometry Geometrie (DE-588)4020236-7 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Geometrie (DE-588)4020236-7 s DE-604 Murrow, Gene Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007683456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Lang, Serge 1927-2005 Murrow, Gene Geometry Geometrie lc Géométrie euclidienne - Problèmes et exercices ram Géométrie euclidienne ram Geometry Geometrie (DE-588)4020236-7 gnd
subject_GND	(DE-588)4020236-7 (DE-588)4123623-3
title	Geometry
title_auth	Geometry
title_exact_search	Geometry
title_full	Geometry Serge Lang ; Gene Murrow
title_fullStr	Geometry Serge Lang ; Gene Murrow
title_full_unstemmed	Geometry Serge Lang ; Gene Murrow
title_short	Geometry
title_sort	geometry
topic	Geometrie lc Géométrie euclidienne - Problèmes et exercices ram Géométrie euclidienne ram Geometry Geometrie (DE-588)4020236-7 gnd
topic_facet	Geometrie Géométrie euclidienne - Problèmes et exercices Géométrie euclidienne Geometry Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007683456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT langserge geometry AT murrowgene geometry

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items