Thomas' Calculus : Early Transcendentals in SI Units, 15/e (IE-Paperback)
George Thomas, Joel Hass, Christopher Heil, Przemyslaw Bogacki, Maurice Weir
- 出版商: Pearson FT Press
- 出版日期: 2023-01-01
- 定價: $1,880
- 售價: 9.8 折 $1,842
- 語言: 英文
- 頁數: 1224
- ISBN: 1292725907
- ISBN-13: 9781292725901
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相關分類:
微積分 Calculus
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商品描述
Description
Thomas' Calculus: Early Transcendentals offers a modern and robust introduction to calculus, enhancing students' understanding of the underlying mathematical ideas. Intuitive and precise explanations, thoughtfully chosen examples, and time-tested exercise sets form the foundation of this text. A hallmark feature has been the application of calculus to science and engineering; this text supports a calculus sequence typically taken by students in STEM fields over several semesters.
Key Features
Available separately for purchase is MyLab Math for Thomas' Calculus: Early Transcendentals, the teaching and learning platform that empowers instructors to personalize learning for every student. For the fifteenth edition, Przemyslaw Bogackiㅡ-an academic with over thirty years of experience—has joined the author team. Bogacki has diligently reviewed the exercises and solutions in MyLab Math for mathematical accuracy, fidelity with text methods, and effectiveness for students. Over 100 new Setup & Solve exercises, selected by Bogacki, are designed to help students' focus on the process of problem solving by requiring them to set up their equations before moving on to the solution. Newly added GeoGebra Exercises are gradable graphing and computational exercises that help students demonstrate their understanding. When combined with Pearson's trusted educational content, this optional suite helps deliver the desired learning outcomes.
- NEW! Two online chapters, "Complex Functions" and "Fourier Series and Wavelets," along with an online appendix on optimization, have been added for students interested in more advanced topics.
- Clear, easy-to-understand examples, coupled with their solutions, are reinforced by their application to real-world problems of immediate interest to students.
- Historical Biography boxes peppered throughout the text discuss the life and contributions of eminent mathematicians--including Carl Friedrich Gauss, Richard Dedekind, and Johann Bernoulli--and work with the surrounding text to contextualize concepts.
- Writing exercises ask students to explore and explain a variety of calculus concepts and applications.
- In addition to end-of section exercises, each chapter culminates with Questions to Guide Your Review, Practice Exercises covering the entire chapter, and a series of Additional and Advanced Exercises with more challenging or synthesizing problems.
- Most chapters also include Technology Application Projects that can be worked by students individually or in groups over a longer period of time.
商品描述(中文翻譯)
描述
《Thomas' Calculus: Early Transcendentals》提供了一個現代且堅實的微積分入門,增強學生對基礎數學概念的理解。直觀而精確的解釋、精心選擇的例子和經過時間考驗的練習題形成了本書的基礎。其中一個特點是將微積分應用於科學和工程;這本書支持STEM領域學生在幾個學期內進行的微積分課程。
主要特點
可單獨購買的《Thomas' Calculus: Early Transcendentals》教學和學習平台是一個能夠讓教師個性化學習的工具。在第15版中,擁有三十多年經驗的學者Przemyslaw Bogacki加入了作者團隊。Bogacki仔細審查了MyLab Math中的練習和解答,確保數學準確性、與教材方法的一致性以及對學生的有效性。Bogacki選擇了100多個新的“設置和解決練習”,旨在幫助學生專注於問題解決的過程,要求他們在解決方案之前先設置方程式。新增的“GeoGebra練習”是可評分的繪圖和計算練習,有助於學生展示他們的理解能力。當與Pearson值得信賴的教育內容結合時,這個可選套件有助於實現所需的學習成果。
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新增!兩個在線章節,“複雜函數”和“傅立葉級數和小波”,以及一個有關優化的在線附錄,供對更高級主題感興趣的學生使用。 - 清晰易懂的例子,以及其解答,通過將其應用於學生立即感興趣的實際問題,加強了學習效果。
- 散布在全文的歷史傳記方塊討論了著名數學家(包括卡爾·弗里德里希·高斯、理查德·戴德金德和約翰·伯努利)的生平和貢獻,並與周圍的文本一起將概念置於上下文中。
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寫作練習要求學生探索和解釋各種微積分概念和應用。 - 除了每節結束的練習題外,每章還包括指導回顧問題、練習題(涵蓋整個章節)以及一系列更具挑戰性或綜合性的附加和高級練習題。
- 大多數章節還包括技術應用項目,可以由學生個人或小組在較長的時間內完成。
目錄大綱
Table of Contents
1 Functions
2 Limits and Continuity
3 Derivatives
4 Applications of Derivatives
5 Integrals
6 Applications of Definite Integrals
7 Integrals and Transcendental Functions
8 Techniques of Integration
9 Infinite Sequences and Series
10 Parametric Equations and Polar Coordinates
11 Vectors and the Geometry of Space
12 Vector-Valued Functions and Motion in Space
13 Partial Derivatives
14 Multiple Integrals
15 Integrals and Vector Fields
16 First-Order Differential Equations
17 Second-Order Differential Equations (online)
18 Complex Functions (online)
19 Fourier Series and Wavelets (online)
目錄大綱(中文翻譯)
目錄
1 函數
2 極限與連續性
3 導數
4 導數的應用
5 積分
6 定積分的應用
7 積分與超越函數
8 積分的技巧
9 無窮序列與級數
10 參數方程與極座標
11 向量與空間幾何
12 向量值函數與空間運動
13 偏導數
14 多重積分
15 積分與向量場
16 一階微分方程
17 二階微分方程(線上)
18 複數函數(線上)
19 傅立葉級數與小波(線上)