UID:
edocfu_9958071895002883
Format:
1 online resource (129 p.)
ISBN:
1-283-52604-2
,
9786613838490
,
0-08-095778-1
Series Statement:
Mathematics in science and engineering
Content:
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank
Note:
Description based upon print version of record.
,
Front Cover; Concepts From Tensor Analysis and Differential Geometry; Copyright Page; Contents; Preface; Chapter 1. Coordinate Manifolds; Chapter 2. Scalars; Chapter 3. Vectors and Tensors; Chapter 4. A Special Skew-symmetric Tensor; Chapter 5. The Vector Product. Curl of a Vector; Chapter 6. Riemann Spaces; Chapter 7. Affinely Connected Spaces; Chapter 8. Normal Coordinates; Chapter 9. General Theory of Extension; Chapter 10. Absolute Differentiation; Chapter 11. Differential Invariants; Chapter 12. Transformation Groups; Chapter 13. Euclidean Metric Space
,
Chapter 14. Homogeneous and Isotropic TensorsChapter 15. Curves in Space. Frenet Formulae; Chapter 16. Surfaces in Space; Chapter 17. Mixed Surface and Space Tensors. Coordinate Extension and Absolute Differentiation; Chapter 18. Formulae of Gauss and Weingarten; Chapter 19. Gaussian and Mean Curvature of a Surface; Chapter 20. Equations of Gauss and Codazzi; Chapter 21. Principal Curvatures and Principal Directions; Chapter 22. Asymptotic Lines; Chapter 23. Orthogonal Ennuples and Normal Congruences; Chapter 24. Families of Parallel Surfaces
,
Chapter 25. Developable Surfaces. Minimal SurfacesGeneral References; Subject Index
,
English
Additional Edition:
ISBN 0-12-374915-8
Language:
English
