Operational calculus : based on the two-sided Laplace integral
著者
書誌事項
Operational calculus : based on the two-sided Laplace integral
University Press, 1955
2nd ed
- : hbk
- : pbk
大学図書館所蔵 全75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
pbk: digitally printed version 2008
内容説明・目次
内容説明
Primarily this book is intended for application of the operational calculus to mathematics, physics and technical problems. It gives the basic principles, ideas, and theorems clearly and extensively, but also many worked-out problems from mathematical and physical as well as from technical fields. The purely mathematical treatment is more advanced than is usual in books devoted primarily to practical applications, and the book will therefore be of value to those pure mathematicians who are interested in a rapid and simple derivation of complicated and unexpected relations between various mathematical functions, as well as to the engineer in search (for example) of a very simple treatment of transient phenomena in electrical networks.
目次
- 1. General Introduction
- 2. The Fourier Integral as Basis of the Operational Calculus
- 3. Elementary Operational Images
- 4. Elementary Rules
- 5. The Delta or Impulse Function
- 6. Questions Concerning the Convergence of the Definition Integral
- 7. Asymptotic Relations and Operational Transposition of Series
- 8. Linear Differential Equations with Constant Coefficients
- 9. Simultaneous Linear Differential Equations with Constant Coefficients
- Electric-Circuit Theory
- 10. Linear Differential Equations with Variable Coefficients
- 11. Operational Rules of more Complicated Character
- 12. Step Functions and Other Discontinuous Functions
- 13. Difference Equations
- 14. Integral Equations
- 15. Partial Differential Equations in the Operational Calculus of one Variable
- 16. Simultaneous Operational Calculus.
「Nielsen BookData」 より