Functions of two variables
著者
書誌事項
Functions of two variables
(Chapman & Hall mathematics series)
Chapman & Hall, 1995
大学図書館所蔵 全6件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
内容説明・目次
内容説明
This book was initially based on a short course of twenty lectures, given to second year students at University College Dublin during the autumn of 1992. Later, two chapters on integration theory were added to improve the balance between differential and integral calculus. The students had completed a one year course on differential and integral calculus for real valued functions of one real variable-this is the prerequisite for reading this book-and this course was designed as an introduction to the calculus of several variables. My initial motivation for writing this book was to provide my own stu- dents with a friendly set of notes that they could read in their entirety. As the book took shape, I realized that I was addressing the subject in a manner somewhat different to the standard texts on several variable cal- culus. It is difficult to explain precisely why this occurred. Nevertheless, an attempted explanation may also help you, the reader, in your approach and I will try to give a partial one.
目次
Functions from R2 to R.- Partial Derivatives.- Critical Points.- Maxima and Minima.- Saddle Points.- Sufficiently Regular Functions.- Linear Approximation.- Tangent Planes.- Method of Lagrange Multipliers.- Theory of Lagrange Multipliers.- Examples of Lagrange Multipliers.- The Chain Rule.- Directed Curves.- Curvature.- Quadratic Approximation.- Vector Valued Differentiation.- Complex Analysis.- Line Integrals.- The Fundamental Theorem of Calculus.- Double Integrals.- Coordinate Systems.- Green's Theorem.
「Nielsen BookData」 より