This text presents differential forms from a geometric
perspective accessible at the undergraduate level. It begins with
basic concepts such as partial differentiation and multiple
integration and gently develops the entire machinery of
differential forms. The subject is approached with the idea that
complex concepts can be built up by analogy from simpler cases,
which, being inherently geometric, often can be best understood
visually. Each new concept is presented with a natural picture that
students can easily grasp. Algebraic properties then follow. The
book contains excellent motivation, numerous illustrations and
solutions to selected problems.
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