THIS “Introduction to Vector-methods and their Various Applications to Physics and Mathematics” is an exposition of the late Willard Gibbs' vector analysis. The author in his preface warns us that “no ...

If an automobile is moving at a steady speed over a hill in the shape of a vertical circular arc, what is the maximum speed it can attain without losing contact with the road at the crest of the hill?

Abstract. The close connection between the geometry of a Banach space and the properties of vector measures acting into it is now fairly well-understood. The present paper is devoted to a discussion ...