実一変数関数 : 基礎理論
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Bibliographic Information
実一変数関数 : 基礎理論
（ブルバキ数学原論 / ブルバキ [著], [第18-19]）
東京図書, 1968.7-1969.4
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- Other Title
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Fonctions d'une variable réelle : théorie élémentaire
実一変数関数(基礎理論)
- Title Transcription
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ジツイチ ヘンスウ カンスウ : キソ リロン
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Note
原著第2版 (Paris : Hermann, 1958-1961) の翻訳
文献あり
Description and Table of Contents
- Volume
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1 ISBN 9784489002014
Table of Contents
- 第１章 導関数（一階導関数；有限増分の定理；高階導関数；実一変数の凸関数）
- 第２章 原始関数と積分（原始関数と積分；非コンパクト区間における積分；径数に関する微分と積分）
- 第３章 初等関数（指数関数と円関数の導関数；指数関数、円関数などの展開）
- Volume
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2 ISBN 9784489002021
Table of Contents
- 第４章 微分方程式（存在定理；線型微分方程式）
- 第５章 関数の局所的考察（フィルター集合における関数の比較；漸近展開；実一変数関数の漸近展開；正項級数への応用）
- 第６章 一般テイラー展開、オイラー＝マクローリンの総和公式（一般テイラー展開；三角関数のオイラー展開とベルヌイ数；オイラー＝マクローリンの公式の剰余項の優評価）
- 第７章 ガンマ関数（実領域のガンマ関数；複素領域のガンマ関数）
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