Calculus, 9/e (Metric Version)(Hardcover)

James Stewart , Daniel K. Clegg , Saleem Watson

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商品描述

本書序言

●NEW SCAFFOLDED EXERCISES: At the beginning of problem sets, new basic exercises reinforce key skills and build student confidence to prepare them for more rigorous exercises and conceptual understanding.
●NEW EXPLANATIONS AND EXAMPLES: Careful refinements throughout provide even greater clarity on key concepts such as computing volumes of revolution and setting up triple integrals.
●NEW SUBHEADINGS: Additional subsections within chapters help instructors and students find key content more easily to make the text an even more helpful teaching and learning tool.
●NEW WEBASSIGN RESOURCES: New digital resources in WebAssign include Explore It interactive learning modules, the MindTap reader for interactive and mobile ebook access, enhanced remediation support, and improved problem types.

本書特色

●NEW SUBHEADINGS: Additional subsections within chapters help instructors and students find key content more easily to make the text an even more helpful teaching and learning tool.
●NEW EXPLANATIONS AND EXAMPLES: Careful refinements throughout provide even greater clarity on key concepts such as computing volumes of revolution and setting up triple integrals.
●PREREQUISITE SUPPORT: Four diagnostic tests in algebra, analytic geometry, functions, and trigonometry enable students to test their preexisting knowledge and brush up on skills. Quick Prep and Just-in-Time exercises in WebAssign refresh and reinforce prerequisite knowledge.
●HELPFUL EXAMPLES: Every concept is supported by thoughtfully worked examples that encourage students to develop an analytic view of the subject. To provide further insight into mathematical concepts, many detailed examples display solutions graphically, analytically, and/or numerically. Margin notes expand on and clarify the steps of the solution.
●QUALITY EXERCISES: With over 8000 exercises in all, each exercise set carefully progresses from skill-development problems to more challenging problems involving applications and proofs. Conceptual exercises encourage the development of communication skills by explicitly requesting descriptions, conjectures, and explanations. More challenging “Problems Plus” exercises reinforce concepts by requiring students to apply techniques from more than one chapter of the text, and by patiently showing them how to approach a challenging problem.
●NEW WEBASSIGN RESOURCES: New digital resources in WebAssign include Explore It interactive learning modules, the MindTap reader for interactive and mobile ebook access, enhanced remediation support, and improved problem types.
●STEM APPLICATIONS: Stewart/Clegg/Watson answers the question, "When will I use this?" by showing how Calculus is used as a problem-solving tool in fields such as physics, engineering, chemistry, biology, medicine, and the social sciences.
●NEW SCAFFOLDED EXERCISES: At the beginning of problem sets, new basic exercises reinforce key skills and build student confidence to prepare them for more rigorous exercises and conceptual understanding.
●PROBLEM-SOLVING EMPHASIS: George Polya’s problem-solving methodology is introduced at the beginning and reinforced throughout. "Strategies" sections help students select what techniques they'll need to solve problems in situations where the choice is not obvious and help them develop true problem-solving skills and intuition.
●HELPFUL EXAMPLES: Every concept is supported by thoughtfully worked examples that encourage students to develop an analytic view of the subject. To provide further insight into mathematical concepts, many detailed examples display solutions graphically, analytically, and/or numerically. Margin notes expand on and clarify the steps of the solution.
●CLEAR EXPOSITION: Dan Clegg and Saleem Watson have remained true to James Stewart's writing style speaking clearly and directly to students, guiding them through key ideas, theorems and problem-solving steps, and encouraging them to think as they read and learn calculus.

商品描述(中文翻譯)

本書序言

- 新的搭建式練習:在問題集開始時,新增的基礎練習強化關鍵技能,建立學生的信心,為更嚴格的練習和概念理解做好準備。
- 新的解釋和例子:精心修改提供更清晰的關鍵概念解釋,例如計算旋轉體體積和設置三重積分。
- 新的副標題:章節內新增的子節標題幫助教師和學生更輕鬆地找到關鍵內容,使本書成為更有幫助的教學和學習工具。
- 新的WebAssign資源:WebAssign中的新數位資源包括探索互動學習模組、MindTap閱讀器以進行互動和移動電子書訪問、增強的補救支援和改進的問題類型。

本書特色

- 新的副標題:章節內新增的子節標題幫助教師和學生更輕鬆地找到關鍵內容,使本書成為更有幫助的教學和學習工具。
- 新的解釋和例子:精心修改提供更清晰的關鍵概念解釋,例如計算旋轉體體積和設置三重積分。
- 先備知識支援:代數、解析幾何、函數和三角函數的四個診斷測試使學生能夠測試他們的先備知識並提高技能。WebAssign中的快速準備和即時練習刷新和強化先備知識。
- 有用的例子:每個概念都有精心設計的例子支持,鼓勵學生發展對該主題的分析觀點。為了更深入地理解數學概念,許多詳細的例子以圖形、分析和/或數值的方式顯示解決方案。邊緣註釋擴展和澄清解決方案的步驟。
- 優質練習:總共有超過8000個練習題,每個練習集都從技能發展問題逐步進展到涉及應用和證明的更具挑戰性的問題。概念練習鼓勵通過明確要求描述、猜測和解釋來發展溝通技巧。更具挑戰性的「問題加強」練習要求學生應用來自本書多個章節的技巧,並耐心地指導他們如何解決具有挑戰性的問題。
- 新的WebAssign資源:WebAssign中的新數位資源包括探索互動學習模組、MindTap閱讀器以進行互動和移動電子書訪問、增強的補救支援和改進的問題類型。
- STEM應用:Stewart/Clegg/Watson回答了「我什麼時候會用到這個?」的問題,展示了微積分在物理學、工程學、化學、生物學、醫學和社會科學等領域中作為解決問題的工具的應用。
- 新的搭建式練習:在問題集開始時,新增的基礎練習強化關鍵技能,建立學生的信心,為更嚴格的練習和概念理解做好準備。
- 解決問題的重點:喬治·波利亞的解決問題方法論在開始時介紹並持續強化。 「策略」部分幫助學生選擇在選擇不明顯的情況下解決問題所需的技巧,並幫助他們發展真正的解決問題技能和直覺。
- 有用的例子:每個概念都有精心設計的例子支持,鼓勵學生發展對該主題的分析觀點。為了更深入地理解數學概念,許多詳細的例子以圖形、分析和/或數值的方式顯示解決方案。邊緣註釋擴展和澄清解決方案的步驟。
- 清晰的陳述:丹·克萊格和塞利姆·沃森忠於詹姆斯·斯圖爾特的寫作風格,

目錄大綱

1. FUNCTIONS AND LIMITS.
2. DERIVATIVES.
3. APPLICATIONS OF DIFFERENTIATION.
4. INTEGRALS.
5. APPLICATIONS OF INTEGRATION.
6. INVERSE FUNCTIONS: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS.
7. TECHNIQUES OF INTEGRATION.
8. FURTHER APPLICATIONS OF INTEGRATION.
9. DIFFERENTIAL EQUATIONS.
10. PARAMETRIC EQUATIONS AND POLAR COORDINATES.
11. SEQUENCES, SERIES, AND POWER SERIES.
12. VECTORS AND THE GEOMETRY OF SPACE.
13. VECTOR FUNCTIONS.
14. PARTIAL DERIVATIVES.
15. MULTIPLE INTEGRALS.
16. VECTOR CALCULUS.
APPENDIXES.
A Numbers, Inequalities, and Absolute Values.
B Coordinate Geometry and Lines.
C Graphs of Second-Degree Equations.
D Trigonometry.
E Sigma Notation.
F Proofs of Theorems.
G Answers to Odd-Numbered Exercises.

目錄大綱(中文翻譯)

1. 函數與極限。
2. 導數。
3. 微分應用。
4. 積分。
5. 積分應用。
6. 反函數:指數、對數和反三角函數。
7. 積分技巧。
8. 進一步的積分應用。
9. 微分方程。
10. 參數方程和極座標。
11. 數列、級數和冪級數。
12. 向量和空間幾何。
13. 向量函數。
14. 偏微分。
15. 多重積分。
16. 向量微積分。
附錄。
A 數字、不等式和絕對值。
B 座標幾何和直線。
C 二次方程的圖形。
D 三角函數。
E 西格瑪符號。
F 定理的證明。
G 奇數編號練習的答案。