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Topics in Geometry by John O'Connor - Free Online



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About this book :-
This text is an advanced-level lecture series developed for a 2003 University of St Andrews course. The material explores advanced topics in geometry, focusing on crystallographic groups and lattice theory. Key topics include the classification of crystallographic groups, the crystallographic restriction theorem, and the study of point groups and shift vectors. This resource is suitable for advanced students and researchers interested in the mathematical foundations of geometry and crystallography.

Book Detail :-
This book has following details information.
Title: Topics in Geometry by John O'Connor - Free Online
Publisher: University of St Andrews
Year: 2003
Pages: 101
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
License: N\A
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About Author :-
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Book Contents :-
This book has following table of contents.
0. Introduction 1. Foundations 2. The linear groups 3. Examples of linear groups 4. Isometries of Rn 5. Isometries of the line 6. Isometries of the plane 7. Isometries in 3 dimensions 8. Symmetry groups in the plane 9. Frieze groups 10. Platonic solids 11. Finite symmetry groups of R3 12. Full finite symmetry groups in R3 13. Affine geometry 14. Affine theorems 15. Similarity geometry 16. Projective spaces 17. Homogeneous coordinates 18. Topology of projective spaces 19. Projective spaces of vector spaces 20. The projective groups 21. More projective groups 22. Some theorems in plane projective geometry 23. Duality 24. Conics 25. Elliptic geometry ADVANCE TOPICS IN GEOMETRY 1. Lattices 2. The crystallographic restriction 3. The point groups 4. Shift vectors 5. Classification of crystallographic groups 6. I: Point group is cyclic 7. II: Point group is D1 8. III: Other point groups

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