{"product_id":"hausdorff-measures-paperback-9780521624916","title":"Hausdorff Measures (Paperback) 9780521624916","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eHausdorff Measures\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eClassic book on measure theory with a foreword by the best name in the field.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eC. A. Rogers (Author), Kenneth Falconer (Foreword by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521624916, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 22 October 1998\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e228 pages\u003cbr\u003e22.8 x 15.1 x 1.4 cm, 0.315 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… well-known and beautiful book … written with notable clarity and precision …' European Mathematical Society\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eWhen it was first published this was the first general account of Hausdorff measures, a subject that has important applications in many fields of mathematics. There are three chapters: the first contains an introduction to measure theory, paying particular attention to the study of non-s-finite measures. The second develops the most general aspects of the theory of Hausdorff measures, and the third gives a general survey of applications of Hausdorff measures followed by detailed accounts of two special applications. This edition has a foreword by Kenneth Falconer outlining the developments in measure theory since this book first appeared. Based on lectures given by the author at University College London, this book is ideal for graduate mathematicians with no previous knowledge of the subject, but experts in the field will also want a copy for their shelves.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eForeword Kenneth Falconer\u003cbr\u003e Preface\u003cbr\u003e Part I. Measures in Abstract, Topological and Metric Spaces: 1. Introduction\u003cbr\u003e 2. Measures in abstract spaces\u003cbr\u003e 3. Measures in topological spaces\u003cbr\u003e 4. Measures in metric spaces\u003cbr\u003e 5. Lebesgue measure in n-dimensional Euclidean space\u003cbr\u003e 6. Metric measures in topological spaces\u003cbr\u003e 7. The Souslin operation\u003cbr\u003e Part II. Hausdorff Measures: 8. Definition of Hausdorff measures and equivalent definitions\u003cbr\u003e 9. Mappings, special Hausdorff measures, surface areas\u003cbr\u003e 10. Existence theorems\u003cbr\u003e 11. Comparison theorems\u003cbr\u003e 12. Souslin sets\u003cbr\u003e 13. The increasing sets lemma and its consequences\u003cbr\u003e 14. The existence of comparable net measures and their properties\u003cbr\u003e 15. Sets of non-?-finite measure\u003cbr\u003e Part III. Applications of Hausdorff Measures: 16. A survey of applications of Hausdorff measures\u003cbr\u003e 17. Sets of real numbers defined in terms of their expansions into continued fractions\u003cbr\u003e 18. The space of non-decreasing continuous functions defined on the closed unit interval\u003cbr\u003e Bibliography\u003cbr\u003e Appendix\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Real analysis, real variables [\u003ca title=\"See our other books on Real analysis, real variables\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Real%20analysis,%20real%20variables%20%5BPBKB%5D%22\"\u003ePBKB\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":46006072607000,"sku":"9780521624916","price":49.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521624916i_b600c99c-c1c8-4695-a9a4-e41e674e78aa.jpg?v=1691370692","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/hausdorff-measures-paperback-9780521624916","provider":"Freshly Printed Books","version":"1.0","type":"link"}