نظریهٔ اسپلاین‌ها و کاربردهای آن‌ها، جلد ۳۸ (ریاضیات در علم و مهندسی)

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 Content: Edited by Page v Copyright page Page vi Preface Pages vii-viii J.H. Ahlberg, E.N. Nilson, J.L. Walsh Chapter I Introduction Pages 1-8 Chapter II The Cubic Spline Pages 9-74 Chapter III Intrinsic Properties of Cubic Splines Pages 75-108 Chapter IV The Polynomial Spline Pages 109-152 Chapter V Intrinsic Properties of Polynomial Splines of Odd Degree Pages 153-189 Chapter VI Generalized Splines Pages 191-233 Chapter VII The Doubly Cubic Spline Pages 235-264 Chapter VIII Generalized Splines in Two Dimensions Pages 265-276 Bibliography Pages 277-280 Index Pages 281-284 Front Cover; The Theory of Splines and Their Applications; Copyright Page; Preface; Contents; Chapter I. Introduction; Chapter II. The Cubic Spline; Chapter III. Intrinsic Properties of Cubic Splines; Chapter IV. The Polynomial Spline; Chapter V. Intrinsic Properties of Polynomial Splines of Odd Degree; Chapter VI. Generalized Splines; Chapter VII. The Doubly Cubic Spline; Chapter VIII. Generalized Splines in Two Dimensions; Bibliography; Index.