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Titlebook: Inequalities; A Mathematical Olymp Radmila Bulajich Manfrino,José Antonio Gómez Orteg Textbook 2009 Birkh?user Basel 2009 Algebra.Arithmeti

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書目名稱Inequalities
副標(biāo)題A Mathematical Olymp
編輯Radmila Bulajich Manfrino,José Antonio Gómez Orteg
視頻videohttp://file.papertrans.cn/465/464387/464387.mp4
概述Develops of the basic theory of inequalities.Gradually increases the level of difficulty.Introduces to a wide range of techniques used in Mathematical Olympiads.Quest for an equilibrium between algebr
圖書封面Titlebook: Inequalities; A Mathematical Olymp Radmila Bulajich Manfrino,José Antonio Gómez Orteg Textbook 2009 Birkh?user Basel 2009 Algebra.Arithmeti
描述This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalities generally lacking any geometric meaning. However, where it is possible to provide a geometric interpretation, we include it as we go along. We emphasize the importance of some of these inequalities, such as the inequality between the arithmetic mean and the geometric mean, the Cauchy-Schwarz inequality, the rearrangementinequality, the Jensen inequality, the Muirhead theorem, among others. For all these, besides giving the proof, we present several examples that show how to use them in mathema
出版日期Textbook 2009
關(guān)鍵詞Algebra; Arithmetic; arithmetic mean; function; geometric inequalities; geometric mean; geometry; inequalit
版次1
doihttps://doi.org/10.1007/978-3-0346-0050-7
isbn_softcover978-3-0346-0049-1
isbn_ebook978-3-0346-0050-7
copyrightBirkh?user Basel 2009
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ual risk by means of technical design and human performance. One area where this is becoming increasingly noticeable is the transport sector. Through identification of causal factors resulting from accident investigations, it may seem for digital systems that some transport sectors are facing challe
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Radmila Bulajich Manfrino,José Antonio Gómez Ortega,Rogelio Valdez DelgadoIMA). It is assumed that the IMA system will contain safety-critical elements. Given current safety analysis techniques, there is no certainty that this can be achieved satisfactorily..Initially there is a need to define a blueprint: once this is done, the blueprints will be considered by looking at
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Radmila Bulajich Manfrino,José Antonio Gómez Ortega,Rogelio Valdez Delgado nation-states. The first set consists of the challenges to national political cultures posed by ethnic diversity and minority nationalism within the state, and globalization (often associated with commercialization and Americanization) without. These developments have prompted debates over the impo
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