{"product_id":"modular-invariants-paperback-9781107493766","title":"Modular Invariants (Paperback \/ softback) 9781107493766","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eModular Invariants\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eOriginally published in 1932, this book describes the theory of modular invariants as embodied in the work of Dickson, Glenn and Hazlett.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eD. E. Rutherford (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107493766, 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\"\u003e94 pages\u003cbr\u003e21.6 x 14 x 0.6 cm, 0.13 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 1932 as number twenty=seven in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise account of the theory of modular invariants as embodied in the work of Dickson, Glenn and Hazlett. Appendices are included. This book will be of value to anyone with an interest in modular invariants 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 Part I: 1. A new notation\u003cbr\u003e 2. Galois fields and Fermat's theorem\u003cbr\u003e 3. Transformations in the Galois fields\u003cbr\u003e 4. Types of concomitants\u003cbr\u003e 5. Systems and finiteness\u003cbr\u003e 6. Symbolical notation\u003cbr\u003e 7. Generators of linear transformations\u003cbr\u003e 8. Weight and isobarbism\u003cbr\u003e 9. Congruent concomitants\u003cbr\u003e 10. Relation between congruent and algebraic covariants\u003cbr\u003e 11. Formal covariants\u003cbr\u003e 13. Dickson's theorem\u003cbr\u003e 14. Formal invariants of linear form\u003cbr\u003e 15. The use of symbolical operators\u003cbr\u003e 16. Annihilators of formal invariants\u003cbr\u003e 17. Dickson's method for formal covariants\u003cbr\u003e 18. Symbolical representation of pseudo-isobaric formal covariants\u003cbr\u003e 19. Classes\u003cbr\u003e 20. Characteristic invariants\u003cbr\u003e 21. Syzygies\u003cbr\u003e 22. Residual covariants\u003cbr\u003e 23. Miss Sanderson's theorem\u003cbr\u003e 24. A method of finding characteristic invariants\u003cbr\u003e 25. Smallest full systems\u003cbr\u003e 26. Residual invariants of linear forms\u003cbr\u003e 27. Residual invariants of quadratic forms\u003cbr\u003e 28. Cubic and higher forms\u003cbr\u003e 29. Relative unimportance of residual covariants\u003cbr\u003e 30. Non-formal residual covariants\u003cbr\u003e Part II: 31. Rings and fields\u003cbr\u003e 32. Expansions\u003cbr\u003e 33. Isomorphism\u003cbr\u003e 34. Finite expansions\u003cbr\u003e 35. Transcendental and algebraic expansions\u003cbr\u003e 36. Rational basis theorem of E. Noether\u003cbr\u003e 37. The fields Ky+\/-f\u003cbr\u003e 38. Expansions of the first and second sorts\u003cbr\u003e 39. The theorem on divisor chains\u003cbr\u003e 40. R-modules\u003cbr\u003e 41. A theorem of Artin and of van der Waerden\u003cbr\u003e 42. The finiteness criterion of E. Noether\u003cbr\u003e 43. Application of E. Noether's theorem to modular covariants\u003cbr\u003e Appendix I\u003cbr\u003e Appendix II\u003cbr\u003e Appendix III\u003cbr\u003e Index.\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":46265752158488,"sku":"9781107493766","price":20.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107493766i_98c5bdb1-301c-462e-ae1e-fa23f347ca71.jpg?v=1696754768","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/modular-invariants-paperback-9781107493766","provider":"Freshly Printed Books","version":"1.0","type":"link"}