{"product_id":"a-locus-with-25920-linear-self-transformations-paperback-9781107493711","title":"A Locus with 25920 Linear Self-Transformations (Paperback \/ softback) 9781107493711","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA Locus with 25920 Linear Self-Transformations\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eOriginally published in 1946, this book provides a concise account regarding linear groups.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eH. F. Baker (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107493711, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 26 March 2015\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e120 pages\u003cbr\u003e22 x 14 x 1 cm, 0.17 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eOriginally published in 1946 as number thirty-nine in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise account regarding linear groups. Appendices are also included. This book will be of value to anyone with an interest in linear groups and the history of mathematics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Introduction\u003cbr\u003e 1. The fundamental notation\u003cbr\u003e 2. The equation of the Burkhardt primal\u003cbr\u003e 3. Similarity, or equal standing, of the forty-five nodes, and of the twenty-seven pentahedra\u003cbr\u003e 4. The Jacobian planes of the primal\u003cbr\u003e 5. The k-lines of the primal\u003cbr\u003e 6. The Burkhardt primal is rational\u003cbr\u003e 7. The particular character of the forty-five nodes, and the linear transformation of the primal into itself by projection from the nodes\u003cbr\u003e 8. The forty Steiner threefold spaces, or primes, belonging to the primal\u003cbr\u003e 9. The plane common to two Steiner solids\u003cbr\u003e 10. The enumeration of the twenty-seven Jordan pentahedra, and of the forty-five nodes, from the nodes in pairs of polar k-lines\u003cbr\u003e 11. The reason for calling the Steiner tetrahedra by this name\u003cbr\u003e 12. The enumeration of the twenty-seven pentahedra from nine nodes of the Burkhardt primal\u003cbr\u003e 13. The equation of the Burkhardt primal in terms of a Steiner solid and four association primes\u003cbr\u003e 14. Explicit formulae for the rationalization of the Burkhardt primal\u003cbr\u003e 15. The equation of the Burkhardt primal referred to the prime faces of a Jordan pentahedron\u003cbr\u003e 16. The thirty-six double sixes of Jordan pentahedra, and the associated quadrics\u003cbr\u003e 17. The linear transformations of the Burkhardt primal into itself\u003cbr\u003e 18. Five subgroups of the group 23.34.40 transformations\u003cbr\u003e 19. The expression of the fundamental transformations B, C, D, S as transformations of x1,...,x6. The expression of B, C, D, S in terms of nodal projections\u003cbr\u003e 20. The application of the substitutions of x1,...,x6 to the twelve pentahedra {A}, {B},..., {F0}\u003cbr\u003e 21. The transformation of the family {A} by means of Burkhardt's transformations\u003cbr\u003e 22. Derivation of the Burkhardt primal from a quadratic\u003cbr\u003e Appendix, note 1. The generation of desmic systems of tetrahedra in ordinary space\u003cbr\u003e Appendix, note 2. On the group of substitutions of the lines of a cubic surface in ordinary space\u003cbr\u003e Index of notations.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: History of engineering \u0026amp; technology [\u003ca title=\"See our other books on History of engineering \u0026amp; technology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22History%20of%20engineering%20\u0026amp;%20technology%20%5BTBX%5D%22\"\u003eTBX\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265752584472,"sku":"9781107493711","price":31.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107493711i_ee0a165b-2066-4430-8f02-b09c422c5315.jpg?v=1696754731","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/a-locus-with-25920-linear-self-transformations-paperback-9781107493711","provider":"Freshly Printed Books","version":"1.0","type":"link"}