Calculus
著者
書誌事項
Calculus
Wiley, c1988
大学図書館所蔵 全12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
注記
Includes index
内容説明・目次
内容説明
This book gives a clear presentation of calculus with applications to engineering and the sciences. Emphasis is placed on the methods and applications of the calculus with some coverage of relevant theory, including functions, limits, continuity, differentiation, integrations in higher dimensions, and line and surface integrals. Particular attention is paid to those aspects of calculus that are important in developing effective problem solving methods - often involving estimating errors or constructing numerical approximations. The material is well-organized and comprehensive and features many applications. This book provides more thorough treatment of some major topics than most texts, such as: comparison tests for improper integrals; use of power series representations for functions; and the relation between linear approximations and differentiation. Other topics covered include elementary transcendental functions, infinite series, Taylor's approximation, polar coordinates, and vectors and three dimensional geometry.
目次
- Functions
- Limits and Continuous Functions
- The Derivative
- Application of the Derivative
- Some Geometrical Topics
- The Integral
- Applications of the Integral
- Elementary Transcendental Functions
- Methods of Integration
- First Order Differential Equations
- Indeterminate Forms, L'Hospital's Rule and Improper Integrals
- Infinite Series
- Taylor's Approximation and Power Series
- Polar Coordinates
- Vectors and Three Dimensional Analytic Geometry
- Differentiation of Functions of Several Variables
- Multiple Integrals
- Line and Surface Integrals.
「Nielsen BookData」 より