Calculus

著者

書誌事項

Calculus

Ken Binmore, Joan Davies

Cambridge University Press, 2001

  • : pbk

タイトル別名

Calculus : concepts and methods

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注記

Includes index

内容説明・目次

内容説明

The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences. This introductory book takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective. They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions. Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises. Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise complex mathematical objects. This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.

目次

  • Preface
  • Preliminaries
  • 1. Matrices and vectors
  • 2. Functions of one variable
  • 3. Functions of several variables
  • 4. Stationary points
  • 5. Vector-valued functions
  • 6. Optimization of scalar-valued functions
  • 7. Inverse functions
  • 8. Implicit functions
  • 9. Differentials
  • 10. Sums and integrals
  • 11. Multiple integrals
  • 12. Differential and difference equations of order one
  • 13. Complex numbers
  • 14. Higher order differential and difference equations.

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詳細情報

  • NII書誌ID(NCID)
    BA56329525
  • ISBN
    • 9780521775410
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge
  • ページ数/冊数
    xiii, 554 p.
  • 大きさ
    25 cm
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