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Advanced Calculus
Lynn B Loomis,
Sholomo Sternberg

Table of Contents 

1  Vector Spaces

2  Finite Dimensional Vector Spaces

3  The Differential Caluculus

4  Compactness And Completeness

5  Scaler Product Spaces

6  Differential Equations

7  Multinear Functionals

8  Tntegration

9  Differentiable Manifolds

10 The Integral Caluculus On Manifolds

11 Exterior Caluculus

12 Potential Theory in E^n

13 Classical Mechanics

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