5000 years of geometry mathematics in history and culture
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Basel [u.a.]
Birkhäuser Springer
2015
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| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
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| adam_text | 5000 YEARS OF GEOMETRY
/ SCRIBA, CHRISTOPH J.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
1.THE BEGINNINGS OF GEOMETRICAL REPRESENTATIONS AND CALCULATIONS
2.GEOMETRY IN THE GREEK-HELLENISTIC ERA AND LATE ANTIQUITY
3.ORIENTAL AND OLD AMERICAN GEOMETRY
4.GEOMETRY IN THE EUROPEAN MIDDLE AGES
5.NEW IMPULSES FOR GEOMETRY DURING THE RENAISSANCE
6.THE DEVELOPMENT OF GEOMETRY IN THE 17TH/18TH CENTURIES
7.NEW PATHS OF GEOMETRY IN THE 19TH CENTURY
8.GEOMETRY IN THE 20TH CENTURY
APPENDIX: SELECTION OF ORIGINAL TEXTS
REFERENCES
LIST OF FIGURES
INDEX OF NAMES
INDEX OF SUBJECTS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
5000 YEARS OF GEOMETRY
/ SCRIBA, CHRISTOPH J.
: 2015
ABSTRACT / INHALTSTEXT
THE PRESENT VOLUME PROVIDES A FASCINATING OVERVIEW OF GEOMETRICAL IDEAS
AND PERCEPTIONS FROM THE EARLIEST CULTURES TO THE MATHEMATICAL AND
ARTISTIC CONCEPTS OF THE 20TH CENTURY. IT IS THE ENGLISH TRANSLATION OF
THE 3RD EDITION OF THE WELL-RECEIVED GERMAN BOOK “5000 JAHRE
GEOMETRIE,” IN WHICH GEOMETRY IS PRESENTED AS A CHAIN OF DEVELOPMENTS
IN CULTURAL HISTORY AND THEIR INTERACTION WITH ARCHITECTURE, THE VISUAL
ARTS, PHILOSOPHY, SCIENCE, AND ENGINEERING. GEOMETRY ORIGINATED IN THE
ANCIENT CULTURES ALONG THE INDUS AND NILE RIVERS AND IN MESOPOTAMIA,
EXPERIENCING ITS FIRST “GOLDEN AGE” IN ANCIENT GREECE. INSPIRED BY
THE GREEK MATHEMATICS, A NEW GERM OF GEOMETRY BLOSSOMED IN THE ISLAMIC
CIVILIZATIONS. THROUGH THE ORIENTAL INFLUENCE ON SPAIN, THIS KNOWLEDGE
LATER SPREAD TO WESTERN EUROPE. HERE, AS PART OF THE MEDIEVAL
QUADRIVIUM, THE UNDERSTANDING OF GEOMETRY WAS DEEPENED, LEADING TO A
REVIVAL DURING THE RENAISSANCE.TOGETHER WITH PARALLEL ACHIEVEMENTS IN
INDIA, CHINA, JAPAN AND THE ANCIENT AMERICAN CULTURES, THE EUROPEAN
APPROACHES FORMED THE IDEAS AND BRANCHES OF GEOMETRY WE KNOW IN THE
MODERN AGE: COORDINATE METHODS, ANALYTICAL GEOMETRY, DESCRIPTIVE AND
PROJECTIVE GEOMETRY IN THE 17TH AN 18TH CENTURIES, AXIOM SYSTEMS,
GEOMETRY AS A THEORY WITH MULTIPLE STRUCTURES, AND GEOMETRY IN COMPUTER
SCIENCES IN THE 19TH AND 20TH CENTURIES. EACH CHAPTER OF THE BOOK STARTS
WITH A TABLE OF KEY HISTORICAL AND CULTURAL DATES AND ENDS WITH A
SUMMARY OF ESSENTIAL CONTENTS OF GEOMETRY IN THE RESPECTIVE ERA.
COMPELLING EXAMPLES INVITE THE READER TO FURTHER EXPLORE THE PROBLEMS OF
GEOMETRY IN ANCIENT AND MODERN TIMES. THE BOOK WILL APPEAL TO
MATHEMATICIANS INTERESTED IN GEOMETRY, AND TO ALL READERS WITH AN
INTEREST IN CULTURAL HISTORY. FROM LETTERS TO THE AUTHORS FOR THE GERMAN
LANGUAGE EDITION I HOPE IT GETS A TRANSLATION, AS THERE IS NO COMPARABLE
WORK. PROF. J.GRATTAN-GUINNESS (MIDDLESEX UNIVERSITY LONDON) FIVE
THOUSAND YEARS OF GEOMETRY - I THINK IT IS THE MOST HANDSOME BOOK I
HAVE EVER SEEN FROM SPRINGER, AND THE INCLUSION OF SO MANY COLOR PLATES
REALLY IMPROVES ITS APPEARANCE DRAMATICALLY! PROF. J.W. DAUBEN (CITY
UNIVERSITY OF NEW YORK) AN EXCELLENT BOOK IN EVERY RESPECT. THE AUTHORS
HAVE SUCCESSFULLY COMBINED THE HISTORY OF GEOMETRY WITH THE GENERAL
DEVELOPMENT OF CULTURE AND HISTORY. … THE GRAPHIC DESIGN IS ALSO
EXCELLENT. PROF. Z. NADENIK (CZECH TECHNICAL UNIVERSITY IN PRAGUE)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Scriba, Christoph J. 1929-2013 Schreiber, Peter 1938- |
| author_GND | (DE-588)119362007 (DE-588)132744295 |
| author_facet | Scriba, Christoph J. 1929-2013 Schreiber, Peter 1938- |
| author_role | aut aut |
| author_sort | Scriba, Christoph J. 1929-2013 |
| author_variant | c j s cj cjs p s ps |
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| bvnumber | BV042544291 |
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| dewey-full | 516 516.09 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 516.09 |
| dewey-search | 516 516.09 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-0898-9 |
| era | Geschichte gnd Geschichte 3000 v. Chr.-2000 gnd |
| era_facet | Geschichte Geschichte 3000 v. Chr.-2000 |
| format | Electronic eBook |
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| indexdate | 2024-11-25T17:51:13Z |
| institution | BVB |
| isbn | 9783034808989 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027978297 |
| oclc_num | 910522981 |
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| physical | 1 Online-Ressource (XII, 626 S.) 313 illus., 156 illus. in color |
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| publishDate | 2015 |
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| publishDateSort | 2015 |
| publisher | Birkhäuser Springer |
| record_format | marc |
| spellingShingle | Scriba, Christoph J. 1929-2013 Schreiber, Peter 1938- 5000 years of geometry mathematics in history and culture Mathematics Geometry History of Mathematical Sciences Geometrie - Geschichte Mathematik Geometrie (DE-588)4020236-7 gnd Geschichte (DE-588)4020517-4 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4020517-4 |
| title | 5000 years of geometry mathematics in history and culture |
| title_alt | 5000 Jahre Geometrie |
| title_auth | 5000 years of geometry mathematics in history and culture |
| title_exact_search | 5000 years of geometry mathematics in history and culture |
| title_full | 5000 years of geometry mathematics in history and culture Christoph J. Scriba ; Peter Schreiber |
| title_fullStr | 5000 years of geometry mathematics in history and culture Christoph J. Scriba ; Peter Schreiber |
| title_full_unstemmed | 5000 years of geometry mathematics in history and culture Christoph J. Scriba ; Peter Schreiber |
| title_short | 5000 years of geometry |
| title_sort | 5000 years of geometry mathematics in history and culture |
| title_sub | mathematics in history and culture |
| topic | Mathematics Geometry History of Mathematical Sciences Geometrie - Geschichte Mathematik Geometrie (DE-588)4020236-7 gnd Geschichte (DE-588)4020517-4 gnd |
| topic_facet | Mathematics Geometry History of Mathematical Sciences Geometrie - Geschichte Mathematik Geometrie Geschichte |
| url | https://doi.org/10.1007/978-3-0348-0898-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027978297&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027978297&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT scribachristophj 5000jahregeometrie AT schreiberpeter 5000jahregeometrie AT scribachristophj 5000yearsofgeometrymathematicsinhistoryandculture AT schreiberpeter 5000yearsofgeometrymathematicsinhistoryandculture |