Ming-Jun Lai is a Professor of Mathematics at the University of Georgia. Larry Schumaker is the Stevenson Professor of Mathematics at Vanderbilt University.

'If you need to know anything about multivariate splines this book will be yur first and surest source of information for years to come.' Mathematical Reviews

• Preface; 1. Bivariate polynomials; 2. Bernstein-Bézier methods for bivariate polynomials; 3. B-patches; 4. Triangulations and quadrangulations; 5. Bernstein-Bézier methods for spline spaces; 6. C1 Macro-element spaces; 7. C2 Macro-element spaces; 8. Cr Macro-element spaces; 9. Dimension of spline splines; 10. Approximation power of spline spaces; 11. Stable local minimal determining sets; 12. Bivariate box splines; 13. Spherical splines; 14. Approximation power of spherical splines; 15. Trivariate polynomials; 16. Tetrahedral partitions; 17. Trivariate splines; 18. Trivariate macro-element spaces; Bibliography; Index.

Ming-Jun Lai is a Professor of Mathematics at the University of Georgia. Larry Schumaker is the Stevenson Professor of Mathematics at Vanderbilt University.

'If you need to know anything about multivariate splines this book will be yur first and surest source of information for years to come.' Mathematical Reviews

• Preface; 1. Bivariate polynomials; 2. Bernstein-Bézier methods for bivariate polynomials; 3. B-patches; 4. Triangulations and quadrangulations; 5. Bernstein-Bézier methods for spline spaces; 6. C1 Macro-element spaces; 7. C2 Macro-element spaces; 8. Cr Macro-element spaces; 9. Dimension of spline splines; 10. Approximation power of spline spaces; 11. Stable local minimal determining sets; 12. Bivariate box splines; 13. Spherical splines; 14. Approximation power of spherical splines; 15. Trivariate polynomials; 16. Tetrahedral partitions; 17. Trivariate splines; 18. Trivariate macro-element spaces; Bibliography; Index.

Ming-Jun Lai is a Professor of Mathematics at the University of Georgia. Larry Schumaker is the Stevenson Professor of Mathematics at Vanderbilt University.

'If you need to know anything about multivariate splines this book will be yur first and surest source of information for years to come.' Mathematical Reviews

• Preface; 1. Bivariate polynomials; 2. Bernstein-Bézier methods for bivariate polynomials; 3. B-patches; 4. Triangulations and quadrangulations; 5. Bernstein-Bézier methods for spline spaces; 6. C1 Macro-element spaces; 7. C2 Macro-element spaces; 8. Cr Macro-element spaces; 9. Dimension of spline splines; 10. Approximation power of spline spaces; 11. Stable local minimal determining sets; 12. Bivariate box splines; 13. Spherical splines; 14. Approximation power of spherical splines; 15. Trivariate polynomials; 16. Tetrahedral partitions; 17. Trivariate splines; 18. Trivariate macro-element spaces; Bibliography; Index.