Essential Calculus: Early Transcendental, Metric Version (Custom Solutions), 2/e (Paperback)
暫譯: 基本微積分:早期超越,度量版(自訂解答),第二版(平裝本)

James Stewart , Daniel K. Clegg , Saleem Watson

  • 出版商: Cengage Learning
  • 出版日期: 2022-01-01
  • 定價: $1,320
  • 售價: 9.8$1,294
  • 語言: 英文
  • 頁數: 872
  • ISBN: 6269540658
  • ISBN-13: 9786269540655
  • 相關分類: 微積分 Calculus
  • 立即出貨 (庫存 < 4)

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商品描述

本書序言

• More than 20% of the exercises are new:
   Basic exercises have been added, where appropriate, near the beginning of exercise sets. These exercises are intended to build student confidence and reinforce understanding of the fundamental concepts of a section.
Some new exercises include graphs intended to encourage students to understand how a graph facilitates the solution of a problem; these exercises complement subsequent exercises in which students need to supply their own graph.
   Some exercises have been structured in two stages, where part (a) asks for the setup and part (b) is the evaluation. This allows students to check their answer to part (a) before completing the problem.
   Some challenging and extended exercises have been added toward the end of selected exercise sets.
   Titles have been added to selected exercises when the exercise extends a concept discussed in the section.
• New examples have been added, and additional steps have been added to the solutions of some existing examples.
• Several sections have been restructured and new subheads added to focus the organization around key concepts.
• Many new graphs and illustrations have been added, and existing ones updated, to provide additional graphical insights into key concepts.
• A few new topics have been added and others expanded (within a section or in extended exercises) that were requested by reviewers.
• New projects have been added and some existing projects have been updated.
• Derivatives of logarithmic functions and inverse trigonometric functions are now covered in one section (3.6) that emphasizes the concept of the derivative of an inverse function.
• Alternating series and absolute convergence are now covered in one section (10.5). 

本書特色

• Conceptual Exercises
The most important way to foster conceptual understanding is through the problems that the instructor assigns. To that end we have included various types of problems. Some exercise sets begin with requests to explain the meanings of the basic concepts of the section and most exercise sets contain exercises designed to reinforce basic understanding. Other exercises test conceptual understanding through graphs or tables.
   Many exercises provide a graph to aid in visualization. Another type of exercise uses verbal descriptions to gauge conceptual understanding.
   We particularly value problems that combine and compare graphical, numerical, and algebraic approaches.
• Graded Exercise Sets
Each exercise set is carefully graded, progressing from basic conceptual exercises, to skill-development and graphical exercises, and then to more challenging exercises that often extend the concepts of the section, draw on concepts from previous sections, or involve applications or proofs.
• Real-World Data
Real-world data provide a tangible way to introduce, motivate, or illustrate the concepts of calculus. As a result, many of the examples and exercises deal with functions defined by such numerical data or graphs. These real-world data have been obtained by contacting companies and government agencies as well as researching on the Internet and in libraries.
• Projects
One way of involving students and making them active learners is to have them work (perhaps in groups) on extended projects that give a feeling of substantial accomplishment when completed.
   Applied Projects involve applications that are designed to appeal to the imagination of students.
   Discovery Projects anticipate results to be discussed later or encourage discovery through pattern recognition. Other discovery projects explore aspects of geometry: tetrahedra, hyperspheres, and intersections of three cylinders.

商品描述(中文翻譯)

本書序言

• 超過20%的練習題為新題:

   在練習題組的開頭,適當地新增了基本練習題。這些練習題旨在建立學生的信心並加強對該部分基本概念的理解。

一些新練習題包含圖形,旨在鼓勵學生理解圖形如何促進問題的解決;這些練習題補充了隨後需要學生提供自己圖形的練習題。

   某些練習題被結構化為兩個階段,其中(a)部分要求設置,(b)部分則是評估。這使學生能在完成問題之前檢查(a)部分的答案。

   在選定的練習題組的末尾新增了一些具有挑戰性和擴展性的練習題。

   當練習題擴展了該部分討論的概念時,已為選定的練習題添加了標題。

• 新的例子已被添加,並且對某些現有例子的解答增加了額外步驟。

• 幾個部分已被重組,並新增了小標題,以便圍繞關鍵概念進行組織。

• 新增了許多圖形和插圖,並更新了現有的圖形,以提供對關鍵概念的額外圖形見解。

• 新增了一些主題,並擴展了其他主題(在某一部分或擴展練習中),這些都是審稿人所要求的。

• 新增了項目,並更新了一些現有項目。

• 現在對數函數和反三角函數的導數在一個部分(3.6)中進行了涵蓋,強調反函數導數的概念。

• 交替級數和絕對收斂現在在一個部分(10.5)中進行了涵蓋。 

本書特色

• 概念性練習

促進概念理解的最重要方式是通過教師分配的問題。為此,我們包含了各種類型的問題。一些練習題組以要求解釋該部分基本概念的意義開始,大多數練習題組包含旨在加強基本理解的練習題。其他練習題則通過圖形或表格來測試概念理解。

   許多練習題提供圖形以幫助視覺化。另一類練習題使用文字描述來評估概念理解。

   我們特別重視結合和比較圖形、數值和代數方法的問題。

• 分級練習題組

每個練習題組都經過精心分級,從基本概念練習題開始,進而到技能發展和圖形練習,然後是更具挑戰性的練習題,這些練習題通常擴展該部分的概念,借用前面部分的概念,或涉及應用或證明。

• 實際數據

實際數據提供了一種具體的方式來引入、激勵或說明微積分的概念。因此,許多例子和練習題涉及由這些數據或圖形定義的函數。這些實際數據是通過聯繫公司和政府機構以及在互聯網和圖書館進行研究獲得的。

• 項目

讓學生參與並使他們成為主動學習者的一種方式是讓他們在擴展項目上工作(可能是小組合作),這樣在完成後會有實質性的成就感。

   應用項目 涉及旨在吸引學生想像力的應用。

   探索項目 預期將來討論的結果或通過模式識別來鼓勵發現。其他探索項目則探討幾何的各個方面:四面體、超球體和三個圓柱的交集。

作者簡介

JAMES STEWART was professor of mathematics at McMaster University and the University of Toronto for many years. James did graduate studies at Stanford University and the University of Toronto, and subsequently did research at the University of London. His research field was Harmonic Analysis and he also studied the connections between mathematics and music.

DANIEL CLEGG is professor of mathematics at Palomar College in Southern California. He did undergraduate studies at California State University, Fullerton and graduate studies at the University of California, Los Angeles (UCLA). Daniel is a consummate teacher; he has been teaching mathematics ever since he was a graduate student at UCLA.

SALEEM WATSON is professor emeritus of mathematics at California State University, Long Beach. He did undergraduate studies at Andrews University in Michigan and graduate studies at Dalhousie University and McMaster University. After completing a research fellowship at the University of Warsaw, he taught for several years at Penn State before joining the mathematics department at California State University, Long Beach.

作者簡介(中文翻譯)

詹姆斯·斯圖爾特曾在麥克馬斯特大學和多倫多大學擔任數學教授多年。詹姆斯在史丹佛大學和多倫多大學進行研究生學習,隨後在倫敦大學進行研究。他的研究領域是調和分析,並且研究了數學與音樂之間的聯繫。

丹尼爾·克萊格是南加州帕洛馬爾學院的數學教授。他在加州州立大學富勒頓分校完成本科學習,並在加州大學洛杉磯分校(UCLA)進行研究生學習。丹尼爾是一位出色的教師;自從他在UCLA擔任研究生以來,他一直在教授數學。

薩利姆·沃森是加州州立大學長灘分校的名譽數學教授。他在密歇根州的安德魯斯大學完成本科學習,並在達爾豪斯大學和麥克馬斯特大學進行研究生學習。在華沙大學完成研究獎學金後,他在賓州州立大學教學數年,然後加入加州州立大學長灘分校的數學系。

目錄大綱

I. Functions and Models 
2. Limits and Derivatives 
3. Differentiation Rules 
4. Applications of Differentiation 
5. Integrals 
6. Applications ofIntegration 
7. Techniques of Integration 
8. Further Applications of Integration 
9. Parametric Equations and Polar Coordinates 
10. Sequences, Series, and Power Series 
11. Vectors and the Geometry of Space 
12. Partial Derivatives 
13. Multiple Integrals

目錄大綱(中文翻譯)

I. Functions and Models 

2. Limits and Derivatives 

3. Differentiation Rules 

4. Applications of Differentiation 

5. Integrals 

6. Applications ofIntegration 

7. Techniques of Integration 

8. Further Applications of Integration 

9. Parametric Equations and Polar Coordinates 

10. Sequences, Series, and Power Series 

11. Vectors and the Geometry of Space 

12. Partial Derivatives 

13. Multiple Integrals