Precalculus: Mathematics for Calculus, 8/e (Paperback)

本書序言

●NEW DISCOVERY PROJECTS GUIDE STUDENTS IN APPLYING THE CONCEPTS THEY'VE MASTERED: Several new Discovery Projects in this edition feature applications or extensions of the concepts that students have just studied in the text. Discover/Discuss/Prove/Write problems at the end of every section encourage students to develop and strengthen their conceptual, critical-thinking and writing skills.
●NEW CHAPTER UNITES KEY TOPICS: The new Chapter 8, "Polar Coordinates, Parametric Equations, and Vectors," unites the topics under the theme of describing curves and motion in a coordinate plane. The applications in the chapter demonstrate the need for different coordinate systems. In the "Focus on Modeling" following the chapter, both parametric equations and vectors are used to model the path and velocity of a projectile.
●NEW REVIEW MATERIAL REINFORCES STUDENT UNDERSTANDING: Updated, effective review material at the end of most chapters now includes a matching exercise to reinforce the fundamental relationship between graphs and equations. This important review also includes a summary of properties and formulas. In addition, a Concept Check provides a step-by-step review of all of the main concepts and applications from the chapter.
●NEW EXERCISES HELP STUDENTS DEVELOP IMPORTANT PROBLEMSOLVING SKILLS: New Problem-Solving exercises in most sections highlight and apply a specific problem-solving principle from the prologue. More than 20% of the overall exercises are new to this edition.
●NEW EXPANDED PROBLEMS IN WEBASSIGN INCLUDE MULTIPLE PARTS TO ENSURE UNDERSTANDING: This edition's new online Expanded Problems take understanding well beyond the basic exercises. These problems ask students to show the specific steps of their work or to explain the reasoning behind the answers they've provided.
●NEW REMEDIAL SUPPORT PREPARES STUDENTS FOR SUCCESS: Revisions throughout Chapter 1 review fundamentals while WebAssign digital resources provide prerequisite support to address readiness gaps, including the College Math Readiness Bootcamp and Just-in-Time review exercises. This edition also offers an expanded Geometry Review appendix that now highlights main concepts from geometry used in this edition, including congruence, similarity, the Pythagorean Theorem, parallel lines and circles.

本書特色

●WEBASSIGN PROVIDES ONLINE TOOLS TO BUILD YOUR STUDENTS’ CONFIDENCE AND ELEVATE PERFORMANCE: Leading WebAssign digital resources provide instant access to expertly designed support for both you and your students. Updated, innovative exercises, "Explore It" interactive learning modules and instructional videos reinforce concepts for students and assist in review.
●REAL-WORLD APPLICATIONS ENGAGE STUDENTS: This title draws upon applications from engineering, physics, chemistry, business, biology, environmental studies and other fields to demonstrate how mathematics is used to model real-life situations. This approach reinforces the relevance and importance of the principles students are learning.
●"FOCUS ON MODELING" SECTIONS SHOW STUDENTS HOW TO APPLY MATHEMATICS: These "Focus on Modeling" sections illustrate modelling techniques as well as how mathematics can be applied to model real-life situations. These sections teach students how to create their own mathematical models rather than use prefabricated formulas.
●TRIGONOMETRY APPROACH PROVIDES FLEXIBILITY IN YOUR INSTRUCTION: The chapters on trigonometry (Chs. 5, 6 and 7) are written so you have a choice of beginning with either the right triangle approach or the unit circle approach. Each approach to trigonometry is accompanied by the applications appropriate for that approach. Students clearly understand the reasons behind the different approaches to trigonometry.

本書序言

●新的發現專案指南引導學生應用他們已經掌握的概念：本版中的幾個新的發現專案涵蓋了學生剛剛在教材中學習的概念的應用或擴展。每個章節結束時的「發現/討論/證明/寫作」問題鼓勵學生發展和加強他們的概念、批判性思維和寫作能力。
●新的章節結合了關鍵主題：新的第8章「極坐標、參數方程和向量」將主題統一在描述坐標平面上的曲線和運動的主題下。該章節中的應用展示了不同坐標系統的需求。在該章節之後的「模型重點」中，參數方程和向量被用來模擬抛射物的路徑和速度。
●新的複習材料加強學生的理解：大多數章節末尾的更新、有效的複習材料現在包括一個配對練習，以加強圖形和方程之間的基本關係。這個重要的複習還包括性質和公式的摘要。此外，概念檢查提供了對章節中所有主要概念和應用的逐步複習。
●新的練習幫助學生發展重要的解決問題的能力：大多數章節中的新的解決問題練習突出並應用了序言中的特定解決問題原則。超過20％的總練習是本版的新練習。
●新的WebAssign擴展問題包含多個部分以確保理解：本版的新線上擴展問題將理解提升到基本練習之外。這些問題要求學生展示他們工作的具體步驟或解釋他們提供答案的推理。
●新的補救支援為學生成功做好準備：第1章的修訂回顧基礎知識，而WebAssign數位資源提供先備支援，以解決準備差距，包括大學數學準備營和即時複習練習。本版還提供了一個擴展的幾何複習附錄，突出了本版中使用的幾何的主要概念，包括全等、相似、勾股定理、平行線和圓。

本書特色

●WebAssign提供在線工具來建立學生的信心和提升表現：領先的WebAssign數位資源為您和您的學生提供即時訪問專業設計的支援。更新的創新練習、「探索」互動學習模組和教學視頻加強學生的概念並協助複習。
●真實世界的應用吸引學生：本書利用工程、物理、化學、商業、生物學、環境研究和其他領域的應用來示範數學如何用於建模現實生活情境。這種方法強化了學生所學原則的相關性和重要性。
●「模型重點」部分向學生展示如何應用數學：這些「模型重點」部分示範建模技巧以及如何應用數學來建模現實生活情境。這些部分教導學生如何創建自己的數學模型，而不是使用預製公式。
●三角學方法提供教學的靈活性：三角學章節（第5、6和7章）的撰寫方式讓您可以選擇從直角三角學方法或單位圓方法開始。每種三角學方法都附有適合該方法的應用。學生清楚地理解不同三角學方法背後的原因。

The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He conducted research at the University of London and was influenced by the famous mathematician, George Polya, at Stanford University. Dr. Stewart most recently served as a professor of mathematics at McMaster University and the University of Toronto. His research focused on harmonic analysis. Dr. Stewart authored the best-selling calculus textbook series, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of successful precalculus texts and college algebra and trigonometry texts.

The late Lothar Redlin grew up on Vancouver Island and received a bachelor of science degree from the University of Victoria and a Ph.D. from McMaster University. He subsequently did research and taught at the University of Washington and the University of Waterloo as well as California State University, Long Beach. He was most recently a professor of mathematics at The Pennsylvania State University, Abington Campus. His research focused on topology. Dr. Redlin was a valued co-author for Dr. Stewart's best-selling calculus textbook series and his popular precalculus, college algebra and trigonometry texts.

Saleem Watson received his bachelor of science degree from Andrews University in Michigan. He completed his graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. Dr. Watson conducted subsequently research at the Mathematics Institute of the University of Warsaw in Poland. He taught mathematics at Pennsylvania State University before serving at California State University, Long Beach, where he is currently professor emeritus. Dr. Watson's research encompasses the field of functional analysis. Dr. Watson is an important co-author for Dr. Stewart's best-selling calculus textbook series as well as his popular precalculus, college algebra and trigonometry texts.

詹姆斯·斯圖爾特（James Stewart）教授已故，他在斯坦福大學獲得碩士學位，並在多倫多大學獲得博士學位。他在倫敦大學進行研究，並受到斯坦福大學著名數學家喬治·波利亞（George Polya）的影響。斯圖爾特博士最近在麥克馬斯特大學和多倫多大學擔任數學教授。他的研究專注於調和分析。斯圖爾特博士撰寫了暢銷的微積分教科書系列，包括《微積分》、《微積分：早期超越》和《微積分：概念與背景》，以及一系列成功的預備微積分教材和大學代數和三角學教材。

洛塔爾·雷德林（Lothar Redlin）教授已故，他在溫哥華島長大，並在維多利亞大學獲得理學學士學位，並在麥克馬斯特大學獲得博士學位。他隨後在華盛頓大學、滑鐵盧大學以及加州州立大學長灘分校進行研究和教學。他最近在賓夕法尼亞州立大學阿賓頓校區擔任數學教授。他的研究專注於拓撲學。雷德林博士是斯圖爾特博士暢銷微積分教科書系列和受歡迎的預備微積分、大學代數和三角學教材的重要合著者。

薩利姆·沃森（Saleem Watson）教授在密歇根州的安德魯斯大學獲得理學學士學位。他在達爾豪西大學和麥克馬斯特大學完成研究生學業，並在波蘭華沙大學數學研究所進行研究。他曾在賓夕法尼亞州立大學任教，後來在加州州立大學長灘分校擔任教授榮譽退休。沃森博士的研究涵蓋了泛函分析領域。沃森博士是斯圖爾特博士暢銷微積分教科書系列以及受歡迎的預備微積分、大學代數和三角學教材的重要合著者。

1. Fundamentals
2. Functions
3. Polynomial and Rational Functions
4. Exponential and Logarithmic Functions
5. Trigonometric Functions: Unit Circle Approach
6. Trigonometric Functions: Right Triangle Approach
7. Analytical Trigonometry
8. Polar Coordinates, Parametric Equations, and Vectors
9. Systems of Equations and Inequalities
10. Conic Sections
11. Sequences and Series
12. Limits: A Preview of Calculus
APPENDIX A: Geometry Review
APPENDIX B: Calculations and Significant Figures (available on website)
APPENDIX C: Graphing with a Graphing Calculator (available on website)
APPENDIX D: Using the TI-83/84 Graphing Calculator (available on website)
Answers

1. 基礎知識
2. 函數
3. 多項式和有理函數
4. 指數和對數函數
5. 三角函數：單位圓法
6. 三角函數：直角三角形法
7. 解析三角學
8. 極座標、參數方程和向量
9. 方程組和不等式
10. 圓錐曲線
11. 數列和級數
12. 極限：微積分預覽
附錄A：幾何復習
附錄B：計算和有效數字（網站提供）
附錄C：使用圖形計算器繪圖（網站提供）
附錄D：使用TI-83/84圖形計算器（網站提供）
答案