Essential Calculus: Metric Version, 2/e (IE-Hardcover)
暫譯: 基本微積分:公制版,第二版 (IE-精裝本)
James Stewart
- 出版商: Course Technology
- 出版日期: 2012-01-01
- 定價: $1,340
- 售價: 9.8 折 $1,313
- 語言: 英文
- 頁數: 960
- 裝訂: Hardcover
- ISBN: 1133492568
- ISBN-13: 9781133492566
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相關分類:
微積分 Calculus
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商品描述
<內容簡介>
•The text presents a concise approach to calculus for instructors who want to focus on essential principles and who feel no need for frills.
•Brevity is achieved through condensed exposition, fewer examples in some sections, fewer technology and conceptual problems, and fewer appendixes. Problems Plus and Projects have been moved to the author's website at www.stewartcalculus.com.
•Certain topics, for example, the treatment of the integral and the remainder term in Taylor Series, are presented in a manner that is more traditional than in Stewart's other books.
•The text presents exponential, logarithmic, and inverse trigonometric functions late, with the logarithm defined as an integral. Instructors wishing to cover such functions earlier should consider ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS, 2e, International Metric Edition.
•Each chapter ends with a comprehensive review that includes a true/false quiz, Concept Check Questions, and exercises for every topic covered in the chapter.
•Tools for Enriching Calculus—a free, online, interactive resource that allows Calculus students to work with animations that deepen their understanding by helping them visualize the concepts they are learning—has been updated with new problems and a new Flash design that is more visually appealing and engaging. Written and narrated by James Stewart, these assignable animations are also integrated into Cengage YouBook, and many are available directly to students at www.stewartcalculus.com.
•For the convenience of instructors who wish to cover additional material, the www.stewartcalculus.com website contains: Review of Algebra, Trigonometry, Analytic Geometry, and Conic Sections; Additional Examples; Projects; Archived Problems (drill exercises from Stewart's other books) with solutions; Challenge Problems; Lies My Calculator and Computer Told Me, and more.
•Additional topics (with exercises) available at www.stewartcalculus.com include Principles of Problem Solving, Strategy for Integration, Strategy for Testing Series, Fourier Series, Area of a Surface of Revolution, Linear Differential Equations, Second Order Linear Differential Equations, Nonhomogeneous Linear Equations, Applications of Second Order Differential Equations, Using Series to Solve Differential Equations, Complex Numbers, and Rotation of Axes. Links to outside web resources and the History of Mathematics, with links to historical websites, are also available at the site.
New to this Edition
•The book begins with four diagnostic tests in Basic Algebra, Analytic Geometry, Functions, and Trigonometry. These tests address the gaps in many students' prerequisite skills—and help them start the course with confidence—by giving them opportunities to get up to speed or brush up.
•Some material has been rewritten for greater clarity or for better motivation.
•Based on reviewers' suggestions, a new section on surface area has been added to Chapter 7, "Applications of Integration."
•Updated data in examples and exercises assures that the book maintains its currency and relevance.
•More than 35% of the exercises are new, providing instructors with new assignment options, and students with an abundance of practice opportunities.
•Enhanced WebAssign® for Stewart's ESSENTIAL CALCULUS, 2E, International Metric Edition -is enhanced with new features and functions. These include Enhanced Feedback for incorrect problems, Visualizing Calculus modules and animations, Lecture Video Problems, and a Show Your Work feature that gives you the option of seeing students' detailed solutions. Plus, Cengage YouBook, a Flash-based eBook version of the text that is interactive and customizable, is fully integrated into Enhanced WebAssign.
<章節目錄>
1. FUNCTIONS AND LIMITS
2. DERIVATIVES
3. APPLICATIONS OF DIFFERENTIATION
4. INTEGRALS
5. INVERSE FUNCTIONS
6. TECHNIQUES OF INTEGRATION
7. APPLICATIONS OF INTEGRATION
8. SERIES
9. PARAMETRIC EQUATIONS AND POLAR COORDINATES
10. VECTORS AND THE GEOMETRY OF SPACE
11. PARTIAL DERIVATIVES
12. MULTIPLE INTEGRALS
13. VECTOR CALCULUS
Appendix A. Trigonometry
Appendix B. Sigma Notation
Appendix C. Proofs
Appendix D. Answers to Odd-Numbered Exercises
商品描述(中文翻譯)
內容簡介
• 本書提供了一種簡潔的微積分教學方法,適合希望專注於基本原則且不需要繁瑣內容的教師。
• 簡潔性是通過濃縮的敘述、某些部分較少的範例、較少的技術和概念問題以及較少的附錄來實現的。問題加和專案已移至作者的網站 www.stewartcalculus.com。
• 某些主題,例如泰勒級數中的積分和餘項的處理,以比Stewart其他書籍更傳統的方式呈現。
• 本書在後期介紹指數、對數和反三角函數,並將對數定義為積分。希望更早涵蓋這些函數的教師應考慮《ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS, 2e, International Metric Edition》。
• 每章結尾都有綜合回顧,包括真/假測驗、概念檢查問題以及每個主題的練習題。
• 《豐富微積分的工具》—一個免費的在線互動資源,讓微積分學生通過動畫加深理解,幫助他們可視化所學概念—已更新了新問題和更具視覺吸引力的Flash設計。這些可分配的動畫由James Stewart撰寫和講解,並已整合到Cengage YouBook中,許多動畫可直接在 www.stewartcalculus.com 提供給學生。
• 為了方便希望涵蓋額外材料的教師, www.stewartcalculus.com 網站包含:代數、解析幾何、函數和圓錐曲線的回顧;額外範例;專案;存檔問題(來自Stewart其他書籍的練習題)及其解答;挑戰問題;計算機和電腦告訴我的謊言等。
• 在 www.stewartcalculus.com 上還提供額外主題(附練習題),包括問題解決原則、積分策略、級數測試策略、傅立葉級數、旋轉曲面的面積、線性微分方程、二階線性微分方程、非齊次線性方程、二階微分方程的應用、使用級數解微分方程、複數和坐標旋轉。網站上還提供外部網絡資源的鏈接和數學史的鏈接。
新版本的特色
• 本書以四個診斷測試開始,涵蓋基本代數、解析幾何、函數和三角學。這些測試針對許多學生的先備技能差距,幫助他們以信心開始課程,並提供機會讓他們跟上進度或複習。
• 某些材料已重新編寫,以提高清晰度或更好地激發動機。
• 根據評審的建議,在第7章“積分的應用”中新增了一個有關表面積的新部分。
• 更新的範例和練習題數據確保本書保持其時效性和相關性。
• 超過35%的練習題為新題,為教師提供新的作業選擇,並為學生提供大量的練習機會。
• Stewart的《ESSENTIAL CALCULUS, 2E, International Metric Edition》的增強版WebAssign®增強了新功能和功能,包括對錯誤問題的增強反饋、可視化微積分模組和動畫、講座視頻問題,以及一個顯示你的工作功能,讓你可以查看學生的詳細解答。此外,Cengage YouBook,這是一個基於Flash的互動和可自定義的電子書版本,已完全整合到增強版WebAssign中。
章節目錄
1. 函數與極限
2. 導數
3. 微分應用
4. 積分
5. 反函數
6. 積分技巧
7. 積分應用
8. 級數
9. 參數方程與極坐標
10. 向量與空間幾何
11. 偏導數
12. 多重積分
13. 向量微積分
附錄A. 三角學
附錄B. 西格瑪符號
附錄C. 證明
附錄D. 奇數練習題的答案