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Hughes-Hallett, Gleason, McCallum:

Calculus: Single and Multivariable, 6th Edition

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Focus on Theory

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A. The Underpinnings of Calculus*

B. A Case Study in Rigorous Argument*

C. Completeness of the Real Numbers*

D. Limits and Continuity*

E. Differentiability and Linear Approximation*

F. The Definite Integral*

G. Theorems about Continuous and Differentiable Functions*
H. Limits and Continuity for Functions of Many Variables*

I. Differentiability for Functions of Many Variables*

J. Existence of Global Extrema for Functions of Many Variables*

K. Change of Variables in a Multiple Integral*

L. Proof of Green�s Theorem*

M. Proof of the Divergence Theorem and Stokes� Theorem*

Focus On Theory All Proofs

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