Seths and functions; Continuity; Defferentiation; Integration; Series; Uniform convergence; Diferentiation of transformations; Aplications to geometry and analysis; Differential geometry and vector calculus; Numerical methods.
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Review: Advanced Calculus (International Series in Pure and Applied Mathematics)User Review - Steve Stuart - Goodreads
A good undergrad-level introduction to advanced calculus and real analysis. Thoroughly enjoyable, for students inclined towards abstract reasoning. The book strikes a good balance between readability ... Read full review