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アルセニン:物理数学―数理物理の方法と特殊関数、森北出版【送料無料】
        

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  • Listing Date
    :2026年02月01日 19時22分
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  • Auction Number
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偏微分方程式の解法について、数学サイドに偏りすぎない理論とテクニックをバランスよく述べた良書です。
入手困難です。お探しの方がいらっしゃるかと思い、出品してみました。
 
書名:物理数学―数理物理の方法と特殊関数
著者:ヴァシリ・イアコフレヴィッチ・アルセニン (), 久保忠雄 ()
出版社 : 森北出版
発売日 : 1981/1/31第1版第1刷
単行本 : 391ページ
ISBN-10 : 4627072104(当商品にISBN13の記載なし。左記はAmazonJPからの引用)
ISBN-13 : 978-4627072107(当商品にISBN13の記載なし。左記はAmazonJPからの引用)
当商品に記載の定価:3900円(消費税の無い時期)
 
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【目次(章)】第1編が主に偏微分方程式/積分方程式、第2編が特殊関数です。
訳者序文 原著者序文
前作<数理物理>の序文より
1編 数理物理の問題の設定および基礎的方法
1 2つの独立変数の線型方程式の分類と標準型への変換
2章 種々の型の方程式に導かれる最も簡単な問題, 境界値問題の設定
3章 特性曲線の方法
4章 境界値問題のフーリエの解法(変数分離の方法)
5章 境界条件の伝播に関する問題を解くデュアメルの方法
6章 放物型方程式の境界値問題およびコーシー問題を解くグリーン関数の方法
7章 楕円型方程式の場合の境界値問題を解くグリーン関数の方法
[第6章第7章の補足]双曲型方程式の場合の境界値問題およびコーシー問題を解くグリーン関数の方法について
8章 基礎的な問題の解の唯一性
9章 積分方程式
10章 境界値問題を積分方程式の問題に直すこと、ポテンシャル
11章 対称核をもった積分方程式
12章 不適切な問題の概念、第一種積分方程式の近似解

 
2編 特殊関数
13章 ガンマ関数,ベータ関数
14章 円柱関数
15章 直交多項式
16章 球関数
17章 超幾何関数の初歩
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    Product name: アルセニン:物理数学―数理物理の方法と特殊関数、森北出版【送料無料】
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