Calculus: One and Several Variables, 10/e (IE-Paperback)
暫譯: 微積分:單變數與多變數,第10版 (IE-平裝本)

Saturnino L. Salas , Garret J. Etgen , Einar Hille

  • 出版商: Wiley
  • 出版日期: 2021-01-01
  • 定價: $1,680
  • 售價: 9.8$1,646
  • 語言: 英文
  • 頁數: 1158
  • ISBN: 111977067X
  • ISBN-13: 9781119770671
  • 相關分類: 微積分 Calculus
  • 無法訂購

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商品描述

本書序言

●More examples, clarifications, and explanatory materials have been added throughout the text as appropriate.
●The technology exercises using CAS or calculators have been rewritten and new exercises added throughout the text.
●Additional media resources have been created to support the text.
●Content structure changes include:
●The section on related rates has been moved from chapter 3 to 4.
●A new brief chapter on differential equations has been added.
Updated or refreshed data has been incorporated in selected exercises and examples
●Review exercise sets have been added to the end of each chapter.
●Additional applications from a variety of fields have been added where appropriate.

本書特色

●Precision and Clarity.  Mathematical statements are careful and precise and the basic concepts and important points are not obscured by excess verbiage.
Accessibility. This text is completely accessible to the beginning calculus student without sacrificing mathematical rigor.
Balance of Theory and Applications. Many problems are drawn from the sciences and engineering fields to help motivate students.

商品描述(中文翻譯)

本書序言

●本書中適當地增加了更多的範例、說明和解釋材料。

●使用CAS或計算器的技術練習已重新編寫,並在全書中增加了新的練習。

●為了支持本書內容,創建了額外的媒體資源。

●內容結構的變更包括:

●相關速率的部分已從第三章移至第四章。

●新增了一個簡短的微分方程章節。

已在選定的練習和範例中納入更新或刷新過的數據。

●每章末尾增加了複習練習集。

●在適當的地方增加了來自各個領域的額外應用。

本書特色

●精確性與清晰性。  數學陳述謹慎且精確,基本概念和重要要點不會因過多的冗詞而模糊。

●可及性。 本書對初學微積分的學生完全可及,且不犧牲數學的嚴謹性。

●理論與應用的平衡。 許多問題來自科學和工程領域,以幫助激勵學生。

目錄大綱

Chapter 0. Precalculus Review.
Chapter 1. Limits and Continuity.
Chapter 2. The Derivative; The Process of Differentiation.
Chapter 3. The Mean-Value Theorem; Applications of the First and Second Derivatives.
Chapter 4. Integration.
Chapter 5. Some Applications of the Integral.
Chapter 6. The Transcendental Functions.
Chapter 7. Techniques of Integration. 
Chapter 8. Some Differential Equations. 
Chapter 9. The Conic Sections; Polar Coordinates; Parametric Equations. 
Chapter 10. Sequences; Indeterminate Forms; Improper Integrals.
Chapter 11. Infinite Series.
Chapter 12. Vectors in Three-Dimentional Space.
Chapter 13. Vector Calculus.
Chapter 14. Functions of Several Variables.
Chapter 15. Gradients; Extreme Values; Differentials.
Chapter 16. Double And Triple Integrals.
Chapter 17. Line Integrals and Surface Integrals.
Chapter 18. Additional Differential Equations.
Appendix A. Some Additional Topics.
Appendix B. Some Additional Proofs.
Appendix C. Table of Integrals
Appendix D. Answers to Odd-Numbered Exercises

目錄大綱(中文翻譯)

Chapter 0. Precalculus Review.

Chapter 1. Limits and Continuity.

Chapter 2. The Derivative; The Process of Differentiation.

Chapter 3. The Mean-Value Theorem; Applications of the First and Second Derivatives.

Chapter 4. Integration.

Chapter 5. Some Applications of the Integral.

Chapter 6. The Transcendental Functions.

Chapter 7. Techniques of Integration. 

Chapter 8. Some Differential Equations. 

Chapter 9. The Conic Sections; Polar Coordinates; Parametric Equations. 

Chapter 10. Sequences; Indeterminate Forms; Improper Integrals.

Chapter 11. Infinite Series.

Chapter 12. Vectors in Three-Dimentional Space.

Chapter 13. Vector Calculus.

Chapter 14. Functions of Several Variables.

Chapter 15. Gradients; Extreme Values; Differentials.

Chapter 16. Double And Triple Integrals.

Chapter 17. Line Integrals and Surface Integrals.

Chapter 18. Additional Differential Equations.

Appendix A. Some Additional Topics.

Appendix B. Some Additional Proofs.

Appendix C. Table of Integrals

Appendix D. Answers to Odd-Numbered Exercises