Inequalities: a mathematical Olympiad approach
Gespeichert in:
Hauptverfasser: | , , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2009
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | VIII, 210 S. Ill. 240 mm x 170 mm |
ISBN: | 9783034600491 |
Internformat
MARC
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245 | 1 | 0 | |a Inequalities |b a mathematical Olympiad approach |c Radmila Bulajich Manfrino ; José Antonio Gómez Ortega ; Rogelio Valdez Delgado |
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Datensatz im Suchindex
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adam_text | CONTENTS INTRODUCTION VII 1 NUMERICAL INEQUALITIES 1 1.1 ORDER IN THE
REAL NUMBERS 1 1.2 THE QUADRATIC FUNCTION AX 2 + 2BX + C 4 1.3 A
FUNDAMENTAL INEQUALITY, ARITHMETIC MEAN-GEOMETRIC MEAN 7 1.4 A WONDERFUL
INEQUALITY: THE REARRANGEMENT INEQUALITY 13 1.5 CONVEX FUNCTIONS 20 1.6
A HELPFUL INEQUALITY 33 1.7 THE SUBSTITUTION STRATEGY 39 1.8 MUIRHEAD S
THEOREM 43 2 GEOMETRIC INEQUALITIES 51 2.1 TWO BASIC INEQUALITIES 51 2.2
INEQUALITIES BETWEEN THE SIDES OF A TRIANGLE 54 2.3 THE USE OF
INEQUALITIES IN THE GEOMETRY OF THE TRIANGLE 59 2.4 EULER S INEQUALITY
AND SOME APPLICATIONS 66 2.5 SYMMETRIC FUNCTIONS OF A, B AND C 70 2.6
INEQUALITIES WITH AREAS AND PERIMETERS 75 2.7 ERDOES-MORDELL THEOREM 80
2.8 OPTIMIZATION PROBLEMS 88 3 RECENT INEQUALITY PROBLEMS 101 4
SOLUTIONS TO EXERCISES AND PROBLEMS 117 4.1 SOLUTIONS TO THE EXERCISES
IN CHAPTER 1 117 4.2 SOLUTIONS TO THE EXERCISES IN CHAPTER 2 140 4.3
SOLUTIONS TO THE PROBLEMS IN CHAPTER 3 162 NOTATION 205 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/992751721 DIGITALISIERT DURCH VIII
CONTENTS BIBLIOGRAPHY 207 INDEX 209
|
any_adam_object | 1 |
author | Bulajich Manfrino, Radmila Gómez Ortega, José Antonio Valdez Delgado, Rogelio |
author_facet | Bulajich Manfrino, Radmila Gómez Ortega, José Antonio Valdez Delgado, Rogelio |
author_role | aut aut aut |
author_sort | Bulajich Manfrino, Radmila |
author_variant | m r b mr mrb o j a g oja ojag d r v dr drv |
building | Verbundindex |
bvnumber | BV035414828 |
callnumber-first | Q - Science |
callnumber-label | QA295 |
callnumber-raw | QA295 |
callnumber-search | QA295 |
callnumber-sort | QA 3295 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 490 SM 940 |
ctrlnum | (OCoLC)690494717 (DE-599)DNB992751721 |
dewey-full | 512.97 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.97 |
dewey-search | 512.97 |
dewey-sort | 3512.97 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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indexdate | 2024-07-09T21:34:48Z |
institution | BVB |
isbn | 9783034600491 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017335350 |
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physical | VIII, 210 S. Ill. 240 mm x 170 mm |
publishDate | 2009 |
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publisher | Birkhäuser |
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spelling | Bulajich Manfrino, Radmila Verfasser aut Inequalities a mathematical Olympiad approach Radmila Bulajich Manfrino ; José Antonio Gómez Ortega ; Rogelio Valdez Delgado Basel [u.a.] Birkhäuser 2009 VIII, 210 S. Ill. 240 mm x 170 mm txt rdacontent n rdamedia nc rdacarrier Inequalities (Mathematics) Ungleichung (DE-588)4139098-2 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Ungleichung (DE-588)4139098-2 s DE-604 Gómez Ortega, José Antonio Verfasser aut Valdez Delgado, Rogelio Verfasser aut Erscheint auch als Online-Ausgabe 978-3-0346-0050-7 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017335350&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Bulajich Manfrino, Radmila Gómez Ortega, José Antonio Valdez Delgado, Rogelio Inequalities a mathematical Olympiad approach Inequalities (Mathematics) Ungleichung (DE-588)4139098-2 gnd |
subject_GND | (DE-588)4139098-2 (DE-588)4143389-0 |
title | Inequalities a mathematical Olympiad approach |
title_auth | Inequalities a mathematical Olympiad approach |
title_exact_search | Inequalities a mathematical Olympiad approach |
title_full | Inequalities a mathematical Olympiad approach Radmila Bulajich Manfrino ; José Antonio Gómez Ortega ; Rogelio Valdez Delgado |
title_fullStr | Inequalities a mathematical Olympiad approach Radmila Bulajich Manfrino ; José Antonio Gómez Ortega ; Rogelio Valdez Delgado |
title_full_unstemmed | Inequalities a mathematical Olympiad approach Radmila Bulajich Manfrino ; José Antonio Gómez Ortega ; Rogelio Valdez Delgado |
title_short | Inequalities |
title_sort | inequalities a mathematical olympiad approach |
title_sub | a mathematical Olympiad approach |
topic | Inequalities (Mathematics) Ungleichung (DE-588)4139098-2 gnd |
topic_facet | Inequalities (Mathematics) Ungleichung Aufgabensammlung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017335350&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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