{"product_id":"the-theory-of-sets-of-points-paperback-9781108005302","title":"The Theory of Sets of Points (Paperback \/ softback) 9781108005302","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Theory of Sets of Points\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn introduction from 1906 to a then new and continuously developing branch of mathematical science.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eWilliam Henry Young (Author), Grace Chisholm Young (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108005302, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 20 July 2009\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e336 pages\u003cbr\u003e21.6 x 14 x 1.9 cm, 0.43 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\"\u003eThe theory of sets, described in the preface to this book as 'Georg Cantor's magnificent theory' was first developed in the 1870s, and was recognised as one of the most important new branches of mathematical science. W. H. Young and his wife Grace Chisholm Young wrote this book, published in 1906, as a 'simple presentation'; but they warn that it is effectively a work in progress: the writing 'has necessarily involved attempts to extend the frontier of existing knowledge, and to fill in gaps which broke the connexion between isolated parts of the subject.' The Young's were a dynamic force in mathematical research: William had been Grace's tutor at Girton College; she was subsequently the first woman to be awarded a Ph. D by the University of Göttingen. Cantor himself said of the book: 'It is a pleasure for me to see with what diligence, skill and success you have worked.'\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Rational and irrational numbers\u003cbr\u003e 2. Representation of numbers on the straight line\u003cbr\u003e 3. The descriptive theory of linear sets of points\u003cbr\u003e 4. Potency, and the generalised idea of a cardinal number\u003cbr\u003e 5. Content\u003cbr\u003e 6. Order\u003cbr\u003e 7. Cantor's numbers\u003cbr\u003e 8. Preliminary notions of plane sets\u003cbr\u003e 9. Regions and sets of regions\u003cbr\u003e 10. Curves\u003cbr\u003e 11. Potency of plane sets\u003cbr\u003e 12. Plane content and area\u003cbr\u003e 13. Length and linear content\u003cbr\u003e Appendix\u003cbr\u003e Bibliography\u003cbr\u003e Indexes.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\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":46265911836952,"sku":"9781108005302","price":32.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108005302i_82292b67-706c-4e4a-bc9e-b3ff721bd021.jpg?v=1694867273","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-theory-of-sets-of-points-paperback-9781108005302","provider":"Freshly Printed Books","version":"1.0","type":"link"}