Thomas' Calculus in SI Units, 13/e (IE-Paperback)

George Thomas

Thomas' Calculus in SI Units, 13/e (IE-Paperback)

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商品描述

Thomas’ Calculus, Thirteenth Edition, introduces students to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded—always with the goal of developing technical competence while furthering students’ appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today's students.

商品描述(中文翻譯)

《Thomas' Calculus, Thirteenth Edition》是一本介紹微積分的書籍，讓學生體驗微積分的內在美和應用的力量。這本書已經有半個多世紀的歷史，因其清晰而精確的解釋、精心選擇的例子、優秀的圖表和經過時間考驗的習題而受到推崇。在這個新版本中，習題得到了改進、更新和擴充，始終以培養技術能力和提高學生對這門學科的欣賞為目標。共同作者Hass和Weir致力於根據當今學生的準備和目標的變化來改進這本書。

目錄大綱

1 Functions
 2 Limits and Continuity
 3 Derivatives
 4 Applications of Derivatives
 5 Integrals
 6 Applications of Definite Integrals
 7 Transcendental Functions
 8 Techniques of Integration
 9 First-Order Differential Equations
 10 Infinite Sequences and Series
 11 Parametric Equations and Polar Coordinates
 12 Vectors and the Geometry of Space
 13 Vector-Valued Functions and Motion in Space
 14 Partial Derivatives
 15 Multiple Integrals
 16 Integrals and Vector Fields
 17 Second-Order Differential Equations online

 Appendices
 A.1 Real Numbers and the Real Line
 A.2 Mathematical Induction
 A.3 Lines, Circles, and Parabolas
 A.4 Proofs of Limit Theorems
 A.5 Commonly Occurring Limits
 A.6 Theory of the Real Numbers
 A.7 Complex Numbers
 A.8 The Distributive Law for Vector Cross Products
 A.9 The Mixed Derivative Theorem and the Increment Theorem

目錄大綱(中文翻譯)

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 超越函數
8 積分技巧
9 一階微分方程
10 無窮序列與級數
11 參數方程與極坐標
12 向量與空間幾何
13 向量值函數與空間運動
14 偏導數
15 多重積分
16 積分與向量場
17 二階微分方程 在線上

附錄
A.1 實數與實數線
A.2 數學歸納法
A.3 直線、圓和拋物線
A.4 極限定理的證明
A.5 常見的極限
A.6 實數的理論
A.7 複數
A.8 向量叉積的分配律
A.9 混合導數定理和增量定理

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