書誌事項

Calculus

produced by the Calculus Consortium and initially funded by a National Science Foundation Grant ; Deborah Hughes-Hallett ... [et al.] ; with the assistance of Otto K. Bretscher ... [et al.]

J. Wiley, c2005

4th ed

タイトル別名

Calculus : single and multivariable

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注記

Includes index

内容説明・目次

内容説明

Striking a balance between concepts, modeling, and skills, this highly acclaimed book arms readers with an accessible introduction to calculus. It builds on the strengths from previous editions, presenting key concepts graphically, numerically, symbolically, and verbally. Guided by this innovative Rule of Four approach, the fourth edition examines new topics while providing readers with a strong conceptual understanding of the material.

目次

1. A Library of Functions. 2. Key Concept: The Derivative. 3. Short-Cuts to Differentiation. 4. Using the Derivative. 5. Key Concept: The Definite Integral. 6. Constructing Antiderivatives. 7. Integration. 8. Using the Definite Integral. 9. Series. 10. Approximating Functions. 11. Differential Equations. 12. Functions of Several Variables. 13. A Fundamental Tool: Vectors. 14. Differentiating Functions of Many Variables. 15. Optimization: Local and Global Extrema. 16. Integrating Functions of Many Variables. 17. Parameterized Curves and Vector Fields. 18. Line Integrals. 19. Flux Integrals. 20. Calculus of Vector Fields. Appendix A: Roots, Accuracy, and Bounds. Appendix B: Complex Numbers. Appendix C: Newton's Method. Appendix D: Determinants. Ready Reference. Answers to Odd Numbered Problems. Index.

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詳細情報

  • NII書誌ID(NCID)
    BC15666700
  • ISBN
    • 047147245X
  • LCCN
    2005272941
  • 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
    Hoboken, N.J.
  • ページ数/冊数
    xviii, 1083 p.
  • 大きさ
    28 cm
  • 分類
  • 件名
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