Calculus: One and Several Variables, 10/e (IE-Paperback)
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 折 $1,646
- 語言: 英文
- 頁數: 1158
- ISBN: 111977067X
- ISBN-13: 9781119770671
-
相關分類:
微積分 Calculus
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相關主題
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
- 適當的地方增加了更多的例子、澄清和解釋材料。
- 使用CAS或計算器的技術練習已經重新編寫,並在整個文本中增加了新的練習。
- 創建了額外的媒體資源來支持本書。
- 內容結構的變化包括:
- 相關速率的部分已從第3章移至第4章。
- 新增了一個簡短的微分方程章節。
- 選定的練習和例子中已經納入了更新或刷新的數據。
- 在每章的末尾增加了復習練習集。
- 在適當的地方增加了來自各個領域的額外應用。
本書特色
- 精確和清晰。數學陳述精心且精確,基本概念和重要觀點不會被冗長的言辭所掩蓋。
- 可理解性。本書完全適合初學微積分的學生,而不會牺牲數學嚴謹性。
- 理論和應用的平衡。許多問題來自科學和工程領域,以幫助激發學生的興趣。
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)
第0章. 微積分回顧。
第1章. 極限與連續性。
第2章. 導數; 微分過程。
第3章. 平均值定理; 第一和第二導數的應用。
第4章. 積分。
第5章. 積分的一些應用。
第6章. 超越函數。
第7章. 積分技巧。
第8章. 一些微分方程。
第9章. 圓錐曲線; 極座標; 參數方程。
第10章. 數列; 不定形式; 不定積分。
第11章. 無窮級數。
第12章. 三維空間中的向量。
第13章. 向量微積分。
第14章. 多變數函數。
第15章. 梯度; 極值; 微分。
第16章. 雙重和三重積分。
第17章. 線積分和面積積分。
第18章. 額外的微分方程。
附錄A. 一些額外的主題。
附錄B. 一些額外的證明。
附錄C. 積分表。
附錄D. 奇數編號練習的答案。