*One of the fundamental ideas of ***mathematical analysis** is the notion of a function; we use it to describe and study ... physics, natural and social sciences, and mathematics have to offer: (a) not only do we associate numbers and points ...

**Author**: Mariano Giaquinta

**Publisher:** Springer Science & Business Media

**ISBN:** 9780817645144

**Category:** Mathematics

**Page:** 466

**View:** 800

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Examines linear structures, the topology of metric spaces, and continuity in infinite dimensions, with detailed coverage at the graduate level Includes applications to geometry and differential equations, numerous beautiful illustrations, examples, exercises, historical notes, and comprehensive index May be used in graduate seminars and courses or as a reference text by mathematicians, physicists, and engineers