書誌事項

Calculus two : linear and nonlinear functions

Francis J. Flanigan, Jerry L. Kazdan

(Undergraduate texts in mathematics)

Springer-Verlag, c1990

2nd ed. / revised by David L. Frank, Bert E. Fristedt, and Lawrence F. Gray

  • : us
  • : gw

大学図書館所蔵 件 / 全48件

この図書・雑誌をさがす

内容説明・目次

内容説明

Calculus and linear algebra are two dominant themes in contemporary mathematics and its applications. The aim of this book is to introduce linear algebra in an intuitive geometric setting as the study of linear maps and to use these simpler linear functions to study more complicated nonlinear functions. In this way, many of the ideas, techniques, and formulas in the calculus of several variables are clarified and understood in a more conceptual way. After using this text a student should be well prepared for subsequent advanced courses in both algebra and linear differential equations as well as the many applications where linearity and its interplay with nonlinearity are significant. This second edition has been revised to clarify the concepts. Many exercises and illustrations have been included to make the text more usable for students.

目次

Remembrance of Things Past.- The Algebra of Rn.- The Geometry of Rn.- Linear Functions.- Curves: Mappings F: R-Rq.- Topics for Review and Preview.- Functions f: Rn-R.- Scalar-Valued Functions and Extrema.- Vector Functions F: Rn-Rq. Integration in Rn.- Vector Integrals and Stokes' Theorem.- Answers and Partial Answers to Selected Exercises.- Index.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BA11089010
  • ISBN
    • 0387973885
    • 3540973885
  • LCCN
    90045205
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xvii, 619 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
ページトップへ

AltStyle によって変換されたページ (->オリジナル) /