The universe of conics: from the ancient Greeks to 21st century developments
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer Spektrum
[2016]
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (VIII, 488 Seiten, 350 illus) |
| ISBN: | 9783662454503 |
| DOI: | 10.1007/978-3-662-45450-3 |
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Datensatz im Suchindex
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|---|---|
| adam_text | THE UNIVERSE OF CONICS
/ GLAESER, GEORG
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 INTRODUCTION
2 EUCLIDEAN PLANE
3 DIFFERENTIAL GEOMETRY
4 EUCLEDIAN 3-SPACE
5 PROJECTIVE GEOMETRY
6 PROJECTIVE CONICS
7 POLARITIES AND PENCILS
8 AFFINE GEOMETRY
9 SPECIAL PROBLEMS
10 OTHER GEOMETRIES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE UNIVERSE OF CONICS
/ GLAESER, GEORG
: 2016
ABSTRACT / INHALTSTEXT
THIS TEXT PRESENTS THE CLASSICAL THEORY OF CONICS IN A MODERN FORM. IT
INCLUDES MANY NOVEL RESULTS THAT ARE NOT EASILY ACCESSIBLE ELSEWHERE.
THE APPROACH COMBINES SYNTHETIC AND ANALYTIC METHODS TO DERIVE
PROJECTIVE, AFFINE AND METRICAL PROPERTIES, COVERING BOTH EUCLIDEAN AND
NON-EUCLIDEAN GEOMETRIES. WITH MORE THAN TWO THOUSAND YEARS OF HISTORY,
CONIC SECTIONS PLAY A FUNDAMENTAL ROLE IN NUMEROUS FIELDS OF MATHEMATICS
AND PHYSICS, WITH APPLICATIONS TO MECHANICAL ENGINEERING, ARCHITECTURE,
ASTRONOMY, DESIGN AND COMPUTER GRAPHICS. THIS TEXT WILL BE INVALUABLE TO
UNDERGRADUATE MATHEMATICS STUDENTS, THOSE IN ADJACENT FIELDS OF STUDY,
AND ANYONE WITH AN INTEREST IN CLASSICAL GEOMETRY. AUGMENTED WITH MORE
THAN THREE HUNDRED FIFTY FIGURES AND PHOTOGRAPHS, THIS INNOVATIVE TEXT
WILL ENHANCE YOUR UNDERSTANDING OF PROJECTIVE GEOMETRY, LINEAR ALGEBRA,
MECHANICS, AND DIFFERENTIAL GEOMETRY, WITH CAREFUL EXPOSITION AND MANY
ILLUSTRATIVE EXERCISES. AUTHORS HELLMUTH STACHEL, BORN 1942, GOT HIS PHD
AND HABILITATION IN GEOMETRY IN GRAZ. 1978 FULL PROFESSOR AT THE MINING
UNIVERSITY LEOBEN, 1980-2011 FULL PROFESSOR OF GEOMETRY AT THE VIENNA
UNIVERSITY OF TECHNOLOGY. COAUTHOR OF SEVERAL BOOKS ON MATHEMATICS AND
COMPUTATIONAL GEOMETRY AND OF MORE THAN 120 ARTICLES ON GEOMETRY. GEORG
GLAESER, BORN 1955, GOT HIS PHD AND HABILITATION IN GEOMETRY AT THE
VIENNA UNIVERSITY OF TECHNOLOGY. SINCE 1998 FULL PROFESSOR OF GEOMETRY
AT THE UNIVERSITY OF APPLIED ARTS VIENNA. AUTHOR AND COAUTHOR OF MORE
THAN A DOZEN BOOKS ON GEOMETRY, MATHEMATICS, COMPUTATIONAL GEOMETRY,
COMPUTER GRAPHICS, AND PHOTOGRAPHY. BORIS ODEHNAL, BORN 1973, GOT HIS
PHD AND HABILITATION IN GEOMETRY AT THE VIENNA UNIVERSITY OF TECHNOLOGY.
2011-2012 PROFESSOR AT THE DRESDEN UNIVERSITY OF TECHNOLOGY, SINCE 2012
LECTURER OF GEOMETRY AT THE UNIVERSITY OF APPLIED ARTS VIENNA. AUTHOR OF
SEVERAL DOZENS OF PUBLICATIONS ON GEOMETRY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-45450-3 |
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| spelling | Glaeser, Georg 1955- Verfasser (DE-588)105717746 aut The universe of conics from the ancient Greeks to 21st century developments Georg Glaeser, Hellmuth Stachel, Boris Odehnal Berlin Springer Spektrum [2016] © 2016 1 Online-Ressource (VIII, 488 Seiten, 350 illus) txt rdacontent c rdamedia cr rdacarrier Mathematics Applied mathematics Engineering mathematics Geometry Applications of Mathematics Mathematik Kegelschnitt (DE-588)4125170-2 gnd rswk-swf Kegelschnitt (DE-588)4125170-2 s DE-604 Stachel, Hellmuth 1942- Verfasser (DE-588)1027861474 aut Odehnal, Boris 1973- Verfasser (DE-588)109677870X aut Erscheint auch als Druckausgabe 978-3-662-45449-7 https://doi.org/10.1007/978-3-662-45450-3 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028919936&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028919936&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Glaeser, Georg 1955- Stachel, Hellmuth 1942- Odehnal, Boris 1973- The universe of conics from the ancient Greeks to 21st century developments Mathematics Applied mathematics Engineering mathematics Geometry Applications of Mathematics Mathematik Kegelschnitt (DE-588)4125170-2 gnd |
| subject_GND | (DE-588)4125170-2 |
| title | The universe of conics from the ancient Greeks to 21st century developments |
| title_auth | The universe of conics from the ancient Greeks to 21st century developments |
| title_exact_search | The universe of conics from the ancient Greeks to 21st century developments |
| title_full | The universe of conics from the ancient Greeks to 21st century developments Georg Glaeser, Hellmuth Stachel, Boris Odehnal |
| title_fullStr | The universe of conics from the ancient Greeks to 21st century developments Georg Glaeser, Hellmuth Stachel, Boris Odehnal |
| title_full_unstemmed | The universe of conics from the ancient Greeks to 21st century developments Georg Glaeser, Hellmuth Stachel, Boris Odehnal |
| title_short | The universe of conics |
| title_sort | the universe of conics from the ancient greeks to 21st century developments |
| title_sub | from the ancient Greeks to 21st century developments |
| topic | Mathematics Applied mathematics Engineering mathematics Geometry Applications of Mathematics Mathematik Kegelschnitt (DE-588)4125170-2 gnd |
| topic_facet | Mathematics Applied mathematics Engineering mathematics Geometry Applications of Mathematics Mathematik Kegelschnitt |
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