Now in its fifth edition, Vector Calculus helps students gain an intuitive and solid understanding of this important subject. The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world.
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The historical sections are fascinating and give a deeper insight into the nature of mathematics. I highly recommend it for anyone wanting a little background on the abstract nature of upper level math.
Beautiful, well-written, clear and not cluttered. Best textbook I have ever used.
The Geometry of Euclidean Space
HigherOrder Derivatives Maxima and Minima
Double and Triple Integrals
The Change of Variables Formula
Integrals Over Paths and Surfaces
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