Description: There exist a number of excellent graduate level texts on the theory of differential forms and a handful of very good undergraduate texts on multi-variable calculus as well in which this subject is briefly introduced. However, this book covers an unfilled niche as an "intermediate level text" for first-year graduate students and for juniors and seniors in fast-paced undergraduate mathematics programs. In particular, the first three chapters provide a careful exposition of the theory of forms that touches on all the main topics in differential forms.
