Theory of Linear Connections
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"Theory of Linear Connections" by D. J. Struik is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.
This monograph intends to give a general survey of the different branches of the geometry of linear displacements which so far have received attention', The material on this new type of differential geometry has grown so rapidly in re cent years that it is impossible, not only to be complete, but even to do justice to the work of the different authors, so that a selection had to be made, We hope, however, that enough territory is covered to enable the reader to understand the present state of the theory in the essential points, The author wishes to thank several mathematicians who have helped hirn with remarks and suggestions; especially Dr. J. A. SCHOUTEN of Delft and Dr. N. HANSEN BALL of Princeton. Cambridge, Mass., October 1933. D. J. STRUIK. Contents. Page Introduction .... . I. Algebra ..... . 5 1. Vectors and tensors in E n 5 2. Densities . . . . 6 3. Measuring vectors . 7 4. Point algebra. . . 8 5. The general manifold X" 9 6. Non-holonomic measuring vectors . 10 7. Pseudotensors ...... . 12 11. Affine connections .... . 13 1. The principle of displacement 13 2. Affine displacement Ln 14 3. Torsion. . . . . . 17 4. WEYL connection . 18 5. Metrical connection 19 6. Curvature. . . 19 7. Integrability 20 8. Some identities 21 9. Non-holonomic systems 22 10. Transformation groups 23 IH. Connections associated with differential equations 24 1. Paths ........ . 24 2. Projective transformations 25 3. THoMAs parameters . . .
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"Theory of Linear Connections" by D. J. Struik is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Core Mathematics
Author: D. J. Struik
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
This monograph intends to give a general survey of the different branches of the geometry of linear displacements which so far have received attention', The material on this new type of differential geometry has grown so rapidly in re cent years that it is impossible, not only to be complete, but even to do justice to the work of the different authors, so that a selection had to be made, We hope, however, that enough territory is covered to enable the reader to understand the present state of the theory in the essential points, The author wishes to thank several mathematicians who have helped hirn with remarks and suggestions; especially Dr. J. A. SCHOUTEN of Delft and Dr. N. HANSEN BALL of Princeton. Cambridge, Mass., October 1933. D. J. STRUIK. Contents. Page Introduction .... . I. Algebra ..... . 5 1. Vectors and tensors in E n 5 2. Densities . . . . 6 3. Measuring vectors . 7 4. Point algebra. . . 8 5. The general manifold X" 9 6. Non-holonomic measuring vectors . 10 7. Pseudotensors ...... . 12 11. Affine connections .... . 13 1. The principle of displacement 13 2. Affine displacement Ln 14 3. Torsion. . . . . . 17 4. WEYL connection . 18 5. Metrical connection 19 6. Curvature. . . 19 7. Integrability 20 8. Some identities 21 9. Non-holonomic systems 22 10. Transformation groups 23 IH. Connections associated with differential equations 24 1. Paths ........ . 24 2. Projective transformations 25 3. THoMAs parameters . . .
| Author | D. J. Struik |
| Publisher | Springer |
| Published | 1934-01-01 |
| ISBN-13 | 9783642504907 |
| Binding | Paperback |
| Language | English |
| Subjects | Mathematics |
| Topic | Core Mathematics |
| Series | Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 1. Folge |
Format: Paperback
Language: English
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