This textbook for a one-year advanced calculus course was originally published in 1969 by Houghton Mifflin, republished with corrections in 1980 by Krieger, and now reprinted by BirkhSuser with the added subtitle "A Differential Forms Approach." With the exception of Chapter 9, which is a bow to the topics in the calculus of one variable that are traditionally covered in advanced calculus courses, the text is permeated with the use of differential forms. Annotation copyright Book News, Inc. Portland, Or.