Methods of numerical approximation

Content: 
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
EDITOR'S PREFACE, Page ix, D.C. HANDSCOMB
CHAPTER 1 - INTRODUCTION, Pages 3-5, D.C. HANDSCOMB
CHAPTER 2 - SOME ABSTRACT CONCEPTS AND DEFINITIONS, Pages 7-12, D.C. HANDSCOMB
CHAPTER 3 - CONVERGENCE OF POLYNOMIAL INTERPOLATION, Pages 15-26, D.F. MAYERS
CHAPTER 4 - LEAST-SQUARES APPROXIMATION. ORTHOGONAL POLYNOMIALS, Pages 27-37, L. FOX
CHAPTER 5 - CHEBYSHEV LEAST-SQUARES APPROXIMATION, Pages 39-45, L. FOX
CHAPTER 6 - DETERMINATION AND PROPERTIES OF CHEBYSHEV EXPANSIONS, Pages 47-59, L. FOX
CHAPTER 7 - THE GENERAL THEORY OF LINEAR APPROXIMATION, Pages 61-71, D.C. HANDSCOMB, D.F. MAYERS, M.J.D. POWELL
CHAPTER 8 - THE EXCHANGE ALGORITHM FOR CALCULATING MINIMAX LINEAR APPROXIMATIONS OVER A DISCRETE POINT SET, Pages 73-81, M.J.D. POWELL
CHAPTER 9 - CALCULATION OF THE BEST LINEAR APPROXIMATION ON A CONTINUUM, Pages 83-89, A.R. CURTIS
CHAPTER 10 - THE RATE OF CONVERGENCE OF BEST APPROXIMATIONS, Pages 91-96, D.C. HANDSCOMB
CHAPTER 11 - CONTINUED FRACTIONS, Pages 99-103, J.D.P. DONNELLY
CHAPTER 12 - INTERPOLATION BY RATIONAL FUNCTIONS, Pages 105-116, D.F. MAYERS
CHAPTER 13 - ECONOMIZATION OF CONTINUED FRACTIONS, Pages 117-123, D.F. MAYERS
CHAPTER 14 - THE PADÉ TABLE, Pages 125-130, J.D.P. DONNELLY
CHAPTER 15 - APPLICATIONS OF THE QD AND ɛ ALGORITHMS, Pages 131-138, J.D.P. DONNELLY
CHAPTER 16 - THEORY AND CALCULATION OF BEST RATIONAL APPROXIMATIONS, Pages 139-148, A.R. CURTIS
CHAPTER 17 - CONVERGENCE OF RATIONAL APPROXIMATIONS, Pages 149-152, D.C. HANDSCOMB
CHAPTER 18 - THEORY OF GENERAL NON-LINEAR MINIMAX APPROXIMATIONS, Pages 155-162, M.J.D. POWELL
CHAPTER 19 - SPLINE FUNCTIONS, Pages 163-167, D.C. HANDSCOMB
CHAPTER 20 - OPTIMAL APPROXIMATION OF LINEAR FUNCTIONALS, Pages 169-176, D.C. HANDSCOMB
CHAPTER 21 - OPTIMAL APPROXIMATION BY MEANS OF SPLINE FUNCTIONS, Pages 177-181, D.C. HANDSCOMB
CHAPTER 22 - AN INTRODUCTION TO ε-ENTROPY, Pages 183-190, M.J.D. POWELL
CHAPTER 23 - FUNCTIONS OF MANY VARIABLES, Pages 191-194, D.C. HANDSCOMB
CHAPTER 24 - PRACTICAL CONSIDERATIONS, Pages 195-198, D.C. HANDSCOMB
REFERENCES, Pages 199-202
FURTHER REFERENCES, Pages 203-214
INDEX, Pages 215-218