Problem-solving and selected topics in Euclidean geometry: in the spirit of the mathematical olympiads
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
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| Schlagworte: | |
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| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461472728 9781461472735 |
| DOI: | 10.1007/978-1-4614-7273-5 |
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Datensatz im Suchindex
| _version_ | 1804150452235796480 |
|---|---|
| adam_text | PROBLEM-SOLVING AND SELECTED TOPICS IN EUCLIDEAN GEOMETRY
/ LOURIDAS, SOTIRIOS E.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FOREWORD
PREFACE
BASIC CONCEPTS AND THEOREMS OF EUCLIDEAN GEOMETRY
METHODS OF ANALYSIS, SYNTHESIS, CONSTRUCTION AND PROOF.-GEOMETRICAL
CONSTRUCTIONS
GEOMETRICAL LOCI
PROBLEMS OF OLYMPIAD CALIBER
SOLUTIONS OF THE PROBLEMS
BIBLIOGRAPHY
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
PROBLEM-SOLVING AND SELECTED TOPICS IN EUCLIDEAN GEOMETRY
/ LOURIDAS, SOTIRIOS E.
: 2013
ABSTRACT / INHALTSTEXT
PROBLEM-SOLVING AND SELECTED TOPICS IN EUCLIDEAN GEOMETRY: IN THE SPIRIT
OF THE MATHEMATICAL OLYMPIADS CONTAINS THEOREMS OF PARTICULAR VALUE FOR
THE SOLUTION OF OLYMPIAD-CALIBER PROBLEMS IN EUCLIDEAN GEOMETRY.
SELECTED GEOMETRIC PROBLEMS, WHICH HAVE BEEN GIVEN IN INTERNATIONAL
MATHEMATICAL OLYMPIADS (IMO) OR PROPOSED IN SHORT LISTS IN IMO, ARE
DISCUSSED. ADDITIONALLY, A NUMBER OF NEW PROBLEMS PROPOSED BY LEADING
MATHEMATICIANS IN THE SUBJECT WITH THEIR STEP-BY-STEP SOLUTIONS ARE
PRESENTED. THE BOOK TEACHES MATHEMATICAL THINKING THROUGH GEOMETRY AND
PROVIDES INSPIRATION FOR BOTH STUDENTS AND TEACHERS. FROM THE FOREWORD:
“…YOUNG PEOPLE NEED SUCH TEXTS, GROUNDED IN OUR SHARED INTELLECTUAL
HISTORY AND CHALLENGING THEM TO EXCEL AND CREATE A CONTINUITY WITH THE
PAST. GEOMETRY HAS SEEMED DESTINED TO GIVE WAY IN OUR MODERN
COMPUTERIZED WORLD TO ALGEBRA. AS WITH MICHAEL TH.RASSIAS’ PREVIOUS
HOMONYMOUS BOOK ON NUMBER THEORY, IT IS A PLEASURE TO SEE THE MENTAL
DISCIPLINE OF THE ANCIENT GREEKS SO WELL REPRESENTED TO A YOUTHFUL
AUDIENCE.” – MICHAEL H. FREEDMAN (FIELDS MEDAL IN MATHEMATICS, 1986)
SOTIRIOS E. LOURIDAS HAS STUDIED MATHEMATICS AT THE UNIVERSITY OF
PATRAS, GREECE. HE HAS BEEN AN ACTIVE MEMBER OF THE GREEK MATHEMATICAL
SOCIETY FOR SEVERAL YEARS BOTH AS A PROBLEM POSER AND A COACH OF THE
GREEK MATHEMATICAL OLYMPIAD TEAM. HE HAS AUTHORED IN GREEK, A NUMBER OF
BOOKS IN MATHEMATICS. MICHAEL TH. RASSIAS HAS RECEIVED SEVERAL AWARDS
IN MATHEMATICAL PROBLEM-SOLVING COMPETITIONS INCLUDING TWO GOLD MEDALS
AT THE PAN-HELLENIC MATHEMATICAL OLYMPIADS OF 2002 AND 2003 (ATHENS,
GREECE), A SILVER MEDAL AT THE BALKAN MATHEMATICAL OLYMPIAD OF 2002
(TARGU MURES, ROMANIA) AND A SILVER MEDAL AT THE 44TH INTERNATIONAL
MATHEMATICAL OLYMPIAD OF 2003 (TOKYO, JAPAN).HE HOLDS A DIPLOMA FROM THE
SCHOOL OF ELECTRICAL AND COMPUTER ENGINEERING OF THE NATIONAL TECHNICAL
UNIVERSITY OF ATHENS AND A MASTER OF ADVANCED STUDY IN MATHEMATICS FROM
THE UNIVERSITY OF CAMBRIDGE. HE IS CURRENTLY A PHD STUDENT IN
MATHEMATICS AT ETH-ZUERICH. AT THE AGE OF 22, HE AUTHORED THE BOOK
PROBLEM-SOLVING AND SELECTED TOPICS IN NUMBER THEORY: IN THE SPIRIT OF
THE MATHEMATICAL OLYMPIADS – FOREWORD BY PREDA MIHAILESCU (SPRINGER,
2011), ISBN: 978-1-4419-0494-2
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Louridas, Sotirios E. Rassias, Michael Th |
| author_facet | Louridas, Sotirios E. Rassias, Michael Th |
| author_role | aut aut |
| author_sort | Louridas, Sotirios E. |
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| dewey-ones | 516 - Geometry |
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| discipline | Mathematik |
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| spelling | Louridas, Sotirios E. Verfasser aut Problem-solving and selected topics in Euclidean geometry in the spirit of the mathematical olympiads Sotirios E. Louridas ; Michael Th. Rassias New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Euklidische Geometrie (DE-588)4137555-5 gnd rswk-swf Euklidische Geometrie (DE-588)4137555-5 s 1\p DE-604 Rassias, Michael Th. Verfasser aut https://doi.org/10.1007/978-1-4614-7273-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026057723&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=026057723&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Louridas, Sotirios E. Rassias, Michael Th Problem-solving and selected topics in Euclidean geometry in the spirit of the mathematical olympiads Euklidische Geometrie (DE-588)4137555-5 gnd |
| subject_GND | (DE-588)4137555-5 |
| title | Problem-solving and selected topics in Euclidean geometry in the spirit of the mathematical olympiads |
| title_auth | Problem-solving and selected topics in Euclidean geometry in the spirit of the mathematical olympiads |
| title_exact_search | Problem-solving and selected topics in Euclidean geometry in the spirit of the mathematical olympiads |
| title_full | Problem-solving and selected topics in Euclidean geometry in the spirit of the mathematical olympiads Sotirios E. Louridas ; Michael Th. Rassias |
| title_fullStr | Problem-solving and selected topics in Euclidean geometry in the spirit of the mathematical olympiads Sotirios E. Louridas ; Michael Th. Rassias |
| title_full_unstemmed | Problem-solving and selected topics in Euclidean geometry in the spirit of the mathematical olympiads Sotirios E. Louridas ; Michael Th. Rassias |
| title_short | Problem-solving and selected topics in Euclidean geometry |
| title_sort | problem solving and selected topics in euclidean geometry in the spirit of the mathematical olympiads |
| title_sub | in the spirit of the mathematical olympiads |
| topic | Euklidische Geometrie (DE-588)4137555-5 gnd |
| topic_facet | Euklidische Geometrie |
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