Understanding Basic Calculus - Nagoya University

ii should note that the questions ask for global extremum. In most of the examples for such problems, more than one solutions are given. In Chapter 6, basic concepts and …

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Understanding Basic Calculus - Nagoya University

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i Preface This book is a revised and expanded version of the lecture notes for Basic Calculus and other similar courses o ered by the Department of Mathematics, University of Hong Kong, from the ﬁrst semester of the academic

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ちょっとマニアックな ... - math.nagoya-u.ac.jp

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ちょっとマニアックな（？）級数・積分の計算1 吉田伸生2 具体的に値が求まる級数というと、 1+ 1 22 + 1 32 + 1 42 +.... = π2 6, (オイラーの級数)

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で与えると、これを最小にする解として、いわゆるフーリエ係数 ak = 1 π ∫2π 0 f(x)cos(kx)dx, bk = 1 π ∫2π 0 f(x)sin(kx)dx を得る。このように、関数の間に「距離」を設定すると、ベクトル空間における内積から導入さ

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be used in the rest of the book are introduced. For solving polynomial inequalities, the method will be used later when we consider where a function is increasing or decreasing as well as where a function is convex or concave. Students should note that there is a shortcut for solving inequalities, using the Intermediate Value

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1 ベクトル空間まず、実数体は、次数のなす集合rと加法+: r × r → r、乗法· : r × r → rで定義された写像からなる三組(r,+, · )である。

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