Essential Calculus (Metric Version) (Paperback)
暫譯: 基本微積分(公制版)(平裝)
Ron Larson , Bruce H. Edwards
- 出版商: Cengage Learning
- 出版日期: 2025-01-01
- 定價: $1,300
- 售價: 9.8 折 $1,274
- 語言: 英文
- 頁數: 994
- ISBN: 6267533166
- ISBN-13: 9786267533161
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相關分類:
微積分 Calculus
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相關主題
商品描述
Description
Welcome to the International Metric Version of Essential Calculus.
For this metric version, the units of measurement used in most of the examples and exercises have been changed from U.S. Customary units to metric units. We did not update problems that are U.S. Customary units such as dimensions of a baseball field or U.S. postal rates. We excited to offer you a new edition with more resources then ever that will help you understand and master calculus. This text includes features and resources that continue to make Essential Calculus a valuable learning tool for students and a trustworthy teaching tool for instructors.
Essential Calculus provides the clear instruction, precise mathematics, and thorough coverage that you expect for your course.
Features
- NEW Big Ideas of Calculus
- We have added a new feature to help you discover and understand the Big Ideas of Calculus. This feature has three parts.
- The Big Ideas of Calculus notes give you an overview of the major concepts of a chapter and how they relate to the earlier concepts you have studied. These notes appear near the beginning of a chapter and in the chapter review.
- In each section and in the chapter review, make sure you do the Exploring Concepts exercises. These exercises will help you develop a deeper and clearer knowledge of calculus. Work through these exercises to build and strengthen your understanding of the concepts.
- To continue exploring calculus, do the Building on Concepts exercises at the end of the chapter review. Not only will these exercises help you expand your knowledge and use of calculus, they will prepare you to learn concepts in later chapters.
- UPDATED Chapter Opener
Each Chapter Opener highlights real-life applications used in the examples and exercises. - Section Objectives
A bulleted list of learning objectives provides you with the opportunity to preview what will be presented in the upcoming section. - Theorems
Theorems provide the conceptual framework for calculus. Theorems are clearly stated and separated from the rest of the text by boxes for quick visual reference. Key proofs often follow the theorem. - Definitions
As with theorems, definitions are clearly stated using precise, formal wording and are separated from the text by boxes for quick visual reference. - Explorations
Explorations provide unique challenges to study concepts that have not yet been formally covered in the text. They allow you to learn by discovery and introduce topics related to ones presently being studied. Exploring topics in this way encourages you to think outside the box. - UPDATED Remarks
These hints and tips reinforce or expand upon concepts, help you learn how to study mathematics, caution you about common errors, address special cases, or show an alternative solution to an example. We have added several new Remarks to help students who need more in-depth algebra support. - UPDATED Historical Notes and Biographies
Historical Notes provide you with background information on the foundations of calculus. The Biographies introduce you to the people who created and contributed to calculus. We have added several new biographies,. - How Do You See It? Exercise
The How Do You See It? exercise in each section presents a problem that you will solve by visual inspection using the concepts learned in the lesson. - UPDATED Applications
Carefully chosen applied exercises and examples are included throughout to address the question, “When will I use this ?”These applications are pulled from diverse sources, such as current events, world data, industry trends, and more, and relate to a wide range of interests. Understanding where calculus is (or can be) used promotes fuller understanding of the material. - Putnam Exam Challenges
Putnam Exam questions appear in selected sections. These actual Putnam Exam questions will challenge you and push the limits of your understanding of calculus.
商品描述(中文翻譯)
描述
歡迎來到《基本微積分》的國際公制版本。
在這個公制版本中,大多數範例和練習中使用的測量單位已從美國慣用單位更改為公制單位。我們沒有更新那些使用美國慣用單位的問題,例如棒球場的尺寸或美國郵政費率。我們很高興能為您提供一個全新的版本,擁有比以往更多的資源,幫助您理解和掌握微積分。本書包含的特點和資源,繼續使《基本微積分》成為學生寶貴的學習工具和教師可靠的教學工具。
《基本微積分》提供了您對課程所期望的清晰指導、精確數學和全面的內容覆蓋。
特點
- 全新的微積分大觀念
- 我們新增了一個功能,幫助您發現和理解微積分的大觀念。這個功能分為三個部分。
- 微積分大觀念的筆記為您提供了章節主要概念的概述,以及它們與您之前學習的概念之間的關係。這些筆記出現在章節的開頭和章節回顧中。
- 在每個部分和章節回顧中,請務必完成探索概念的練習。這些練習將幫助您深入且清晰地理解微積分。通過這些練習來建立和加強您對概念的理解。
- 為了繼續探索微積分,請在章節回顧的結尾完成建立概念的練習。這些練習不僅將幫助您擴展對微積分的知識和應用,還將為您學習後續章節的概念做好準備。
- 更新的章節開頭
每個章節開頭突顯了範例和練習中使用的現實生活應用。 - 部分目標
以項目符號列出的學習目標為您提供了預覽即將呈現內容的機會。 - 定理
定理為微積分提供了概念框架。定理清楚地陳述,並用框框與其餘文本分開,以便快速視覺參考。關鍵證明通常跟隨在定理之後。 - 定義
與定理一樣,定義也使用精確、正式的措辭清楚陳述,並用框框與文本分開,以便快速視覺參考。 - 探索
探索提供了獨特的挑戰,以研究尚未在文本中正式涵蓋的概念。它們允許您通過發現學習,並引入與當前學習主題相關的主題。以這種方式探索主題鼓勵您跳出框架思考。 - 更新的備註
這些提示和建議強化或擴展概念,幫助您學習如何學習數學,提醒您常見錯誤,處理特殊情況,或展示範例的替代解法。我們新增了幾個備註,以幫助需要更深入代數支持的學生。 - 更新的歷史筆記和傳記
歷史筆記為您提供有關微積分基礎的背景信息。傳記介紹了創造和貢獻微積分的人。我們新增了幾個傳記。 - 你怎麼看?練習
每個部分的「你怎麼看?」練習提出了一個問題,您將通過視覺檢查來解決,使用在課程中學到的概念。 - 更新的應用
精心挑選的應用練習和範例貫穿全書,以解答「我什麼時候會用到這個?」這些應用來自多種來源,如時事、世界數據、行業趨勢等,並與廣泛的興趣相關。理解微積分的應用(或潛在應用)促進了對材料的更全面理解。 - 普特南考試挑戰
普特南考試問題出現在選定的部分。這些實際的普特南考試問題將挑戰您並推動您對微積分的理解極限。
目錄大綱
Table of Contents
1. Limits and Their Properties
2. Differentiation
3. Applications of Differentiation
4. Integration
5. Logarithmic, Exponential, and Other Transcendental Functions
6. Applications of Integration
7. Integration Techniques and Improper Integrals
8. Infinite Series
9. Parametric Equations and Polar Coordinates
10. Vectores and the Geometry of Space
11. Functions of Several Variables
12. Multiple Integration
13. Vector Analysis
Appendix A. Proofs of Selected Theorems (Online)*
Appendix B. Integration Tables B1
Appendix C. Precalculus Reviews (Online)*
Appendix D. Rotation and the General Second-Degree Equation (Online)*
Appendix E. Complex Numberss (Online)*
Appendix F. Business and Economic Applications (Online)*
Appendix G. Fitting Models to Data (Online)*
Answers to Selected Exercises
Index
目錄大綱(中文翻譯)
Table of Contents
1. Limits and Their Properties
2. Differentiation
3. Applications of Differentiation
4. Integration
5. Logarithmic, Exponential, and Other Transcendental Functions
6. Applications of Integration
7. Integration Techniques and Improper Integrals
8. Infinite Series
9. Parametric Equations and Polar Coordinates
10. Vectores and the Geometry of Space
11. Functions of Several Variables
12. Multiple Integration
13. Vector Analysis
Appendix A. Proofs of Selected Theorems (Online)*
Appendix B. Integration Tables B1
Appendix C. Precalculus Reviews (Online)*
Appendix D. Rotation and the General Second-Degree Equation (Online)*
Appendix E. Complex Numberss (Online)*
Appendix F. Business and Economic Applications (Online)*
Appendix G. Fitting Models to Data (Online)*
Answers to Selected Exercises
Index