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Inequalities: a mathematical Olympiad approach

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Bibliographic Details
Main Authors:	Bulajich Manfrino, Radmila (Author), Gómez Ortega, José Antonio (Author), Valdez Delgado, Rogelio (Author)
Format:	Book
Language:	English
Published:	Basel [u.a.] Birkhäuser 2009
Subjects:	Inequalities (Mathematics) Ungleichung Aufgabensammlung
Online Access:	Inhaltsverzeichnis
Physical Description:	VIII, 210 S. Ill. 240 mm x 170 mm
ISBN:	9783034600491

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MARC


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Record in the Search Index

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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
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author	Bulajich Manfrino, Radmila Gómez Ortega, José Antonio Valdez Delgado, Rogelio
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physical	VIII, 210 S. Ill. 240 mm x 170 mm
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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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