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Titlebook: Inequalities; Theorems, Techniques Zdravko Cvetkovski Book 2012 Springer-Verlag Berlin Heidelberg 2012 Cauchy-Schwarz inequality.Hölder’s i

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书目名称Inequalities
副标题Theorems, Techniques
编辑Zdravko Cvetkovski
视频video
概述Contains 485 problems on Algebra-Inequalities.Detailed solutions are given.Theoretical background and techniques for proving inequalities are provided.Ideal for participants of national and internatio
图书封面Titlebook: Inequalities; Theorems, Techniques Zdravko Cvetkovski Book 2012 Springer-Verlag Berlin Heidelberg 2012 Cauchy-Schwarz inequality.Hölder’s i
描述.This work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving inequalities. It is written for all middle and high-school students, as well as for graduate and undergraduate students. School teachers and trainers for mathematical competitions will also gain benefit from this book..
出版日期Book 2012
关键词Cauchy-Schwarz inequality; Hölder’s inequality; Inequalities; Jensen‘s inequality; Olympiads
版次1
doihttps://doi.org/10.1007/978-3-642-23792-8
isbn_softcover978-3-642-23791-1
isbn_ebook978-3-642-23792-8
copyrightSpringer-Verlag Berlin Heidelberg 2012
The information of publication is updating

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发表于 2025-3-21 22:30:08 | 显示全部楼层
Zdravko CvetkovskiContains 485 problems on Algebra-Inequalities.Detailed solutions are given.Theoretical background and techniques for proving inequalities are provided.Ideal for participants of national and internatio
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Inequalities Between Means (with Two and Three Variables),In this section, we’ll first mention and give a proof of ., which are of particular importance for a full upgrade of the student in solving tasks in this area. It ought to be mentioned that in this section we will discuss the case that treats two or three variables, while the general case will be considered later in Chap. ..
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Geometric (Triangle) Inequalities,These inequalities in most cases have as variables the lengths of the sides of a given triangle; there are also inequalities in which appear other elements of the triangle, such as lengths of heights, lengths of medians, lengths of the bisectors, angles, etc.
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Inequalities Between Means (General Case),In Chap. . we discussed . of two and three variables. In this section we will develop their generalization, i.e. we’ll present an analogous theorem for an arbitrary number of variables.
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,Hölder’s Inequality, Minkowski’s Inequality and Their Variants,In this chapter we’ll introduce two very useful inequalities with broad practical usage: . and .. We’ll also present few variants of these inequalities. For that purpose we will firstly introduce the following theorem.
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