Essential Calculus: Metric Version, 2/e (IE-Hardcover)

<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

內容簡介：

本書提供了一種簡潔的微積分方法，適合那些希望專注於基本原則並不需要繁瑣內容的教師。通過簡化的敘述、某些章節中較少的例子、較少的技術和概念問題以及較少的附錄，實現了簡潔性。Problems Plus和Projects已移至作者的網站www.stewartcalculus.com。某些主題，例如積分和泰勒級數中的餘項處理，以比Stewart的其他書更傳統的方式呈現。本書將指數、對數和反三角函數的介紹放在後面，其中對數被定義為積分。希望早些涵蓋此類函數的教師應考慮使用《基礎微積分：早期超越函數，2e，國際公制版》。每章結束時都有一個全面的回顧，包括真假測驗、概念檢查問題和涵蓋該章節中每個主題的練習題。豐富微積分的工具是一個免費的在線互動資源，允許微積分學生通過動畫來加深他們對概念的理解，幫助他們可視化所學的概念。這些可分配的動畫由James Stewart撰寫和講述，也集成到Cengage YouBook中，許多動畫直接提供給學生使用，網址為www.stewartcalculus.com。為了方便希望涵蓋額外材料的教師，www.stewartcalculus.com網站包含：代數、三角學、解析幾何和圓錐曲線的復習；額外的例子；項目；存檔問題（來自Stewart其他書籍的練習題）和解答；挑戰問題；計算機和電腦告訴我的謊言等。www.stewartcalculus.com還提供了其他主題（包括練習題），如問題解決原則、積分策略、測試級數策略、傅立葉級數、旋轉曲線的表面積、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、複數和座標軸的旋轉。該網站還提供了外部網絡資源的鏈接和數學歷史，並提供了歷史網站的鏈接。

本版新增內容：
本書以基本代數、解析幾何和三角學的四個診斷測試開始。