Includes bibliographical references (pages 277-280), and index.

Introduction -- The cubic spline -- Intrinsic properties of cubic splines -- The polynomial spline -- Intrinsic properties of polynomial splines of odd degree -- Generalized splines --The doubly cubic spline -- Generalized splines in two dimensions. Spline functions constitute a relatively new subject in analysis. During the past decade both the theory of splines and experience with their use in numerical analysis have undergone a considerable degree of development. This book makes some serious effort to organize and present material developed up to this time. This book contains much material published since 1956, together with a considerable amount of the authors' own research, and reflects the authors considerable amount of practical experience with splines.