Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra (Hardcover)
暫譯: 微積分,第一卷:單變數微積分,並附線性代數導論(精裝版)

Tom M. Apostol

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商品描述

An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

商品描述(中文翻譯)

對微積分的介紹,理論與技術之間取得了良好的平衡。積分在微分之前進行處理——這與大多數現代教材不同,但這在歷史上是正確的,也是建立積分與導數之間真實聯繫的最佳方式。所有重要定理的證明均有提供,通常會先進行幾何或直觀的討論。本書第二版在文本中較早引入了平均值定理及其應用,並納入了線性代數的處理,還包含了許多新的、更簡單的練習題。與第一版一樣,每個重要的新概念之前都有一段有趣的歷史介紹。

作者簡介

TOM M. APOSTOL, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project MATHEMATICS!, a series of computer-animated mathematics videotapes.

作者簡介(中文翻譯)

TOM M. APOSTOL,加州理工學院名譽教授,是幾本備受推崇的微積分、分析學和數論教材的作者,同時也是計畫 MATHEMATICS! 的負責人,該計畫是一系列電腦動畫數學錄影帶。

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