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美品【送料無料】Functions of Several Variables (Undergraduate Texts in Mathematics) フレミング Wendell Fleming 多変数関数 第２版

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    Functions of Several Variables
    Second Edition（最新版）ハードカバー
    著者 Wendell Fleming
    出版社 Springer

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    目次、内容は以下をご参照下さい。

    This book gives a systematic development of differential and integral calculus for functions of several variables. The traditional topics from advanced calculus are included: maxima and minima, chain rule, implicit function theorem, multiple integrals, divergence and Stokes's theorems. 

    However, the treatment differs in several important respects from the traditional one. Vector notation is used throughout, and the distinction is maintained between n-dimensional euclidean space En and its dual. The elements of the Lebesgue theory of integrals are given. 

    In place of the traditional vector analysis in £3, we introduce exterior algebra and the calculus of exterior differential forms. The formulas of vector analysis then become special cases of formulas about differential forms and integrals over manifolds lying in P. 

    The book is suitable for a one-year course at the advanced undergraduate level. By omitting certain chapters, a one semester course can be based on it. For instance, if the students already have a good knowledge of partial differentiation and the elementary topology of P, then substantial parts of Chapters 4, 5, 7, and 8 can be covered in a semester. 

    Some knowledge of linear algebra is presumed. However, results from linear algebra are reviewed as needed (in some cases without proof). A number of changes have been made in the first edition. Many of these were suggested by classroom experience. A new Chapter 2 on elementary topology has been added.

    ＃Wendell Fleming
    多変数関数
    Banach algebras
    ＃Fleming
    ＃Calculus of several variables
    ＃Serge Lang
    岡潔
    Wermer
    ＃多変数解析関数論の造形
    ＃高瀬正仁
    ＃複素解析
    Complex Analysis in One and Several Variables 野口潤次郎
    ＃相原 義弘
    ＃工科系の数学
    ＃多変数関数の微積分
    ＃analytic function
    多変数解析関数論
    An Introduction to Complex Analysis in Several Variables
    ＃North-Holland Mathematical Library
    多変数複素関数論を学ぶ
    Complex Analysis in Severeral Variables
    倉田令二朗
    ＃Hormander
    ＃学部生へおくる岡の連接定理
    ＃理工系のためのベクトル解析
    ＃多変数関数の微分積分
    ＃理工系複素関数論
    ＃多変数の微積分から複素解析へ
    ＃中谷広正
    ＃新谷誠
    ＃宮崎佳典
    ＃松田健
    ＃henri cartan
    ＃Controlled Markov Processes and Viscosity Solutions
    ＃Stochastic Modelling and Applied Probability
    ＃Functions of Several Variables
    ＃Undergraduate Texts in Mathematics
    ウェンデル・フレミング

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