DIFFERENTIAL FORMS

There already exist a number of excellent graduate textbooks on the theory of differential forms as well as a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon but not elaborated on enoughThe goal of this textbook is to be readable and usable for undergraduates It is entirely devoted to the subject of differential forms and explores a lot of its important ramificationsIn particular our book provides a detailed and lucid account of a fundamental result in the theory of differential forms which is as a rule not touched upon in undergraduate texts the isomorphism between the Čech cohomology groups of a differential manifold and its de Rham cohomology groups