Calculus, Vol. 2 : Multi-Variable Calculus and Linear Algebra with Applications to Differential Equations and Probability (Hardcover)

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.

一本介紹微積分的書，理論和技巧之間有很好的平衡。與大多數現代教材不同的是，本書先介紹積分再介紹微分，這是歷史上正確的做法，也是建立積分和微分之間真正聯繫的最佳方式。書中提供了所有重要定理的證明，通常在幾何或直觀的討論之前。第二版在文本中較早地引入了平均值定理及其應用，加入了對線性代數的介紹，並包含了許多新的、更容易的練習題。與第一版一樣，每個重要的新概念前都有一個有趣的歷史介紹。