{"product_id":"general-integration-and-measure-paperback-9780521297158","title":"General Integration and Measure (Paperback) 9780521297158","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eGeneral Integration and Measure\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis is a sequel to Dr Weir's undergraduate textbook on Lebesgue Integration and Measure.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAlan J. Weir (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521297158, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 16 August 1979\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e312 pages\u003cbr\u003e23 x 15.5 x 1.4 cm, 0.372 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\"\u003eThis is a sequel to Dr Weir's undergraduate textbook on Lebesgue Integration and Measure (CUP. 1973) in which he provided a concrete approach to the Lebesgue integral in terms of step functions and went on from there to deduce the abstract concept of Lebesgue measure. In this second volume, the treatment of the Lebesgue integral is generalised to give the Daniell integral and the related general theory of measure. This approach via integration of elementary functions is particularly well adapted to the proof of Riesz's famous theorems about linear functionals on the classical spaces C (X) and LP and also to the study of topological notions such as Borel measure. This book will be used for final year honours courses in pure mathematics and for graduate courses in functional analysis and measure theory.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 8. General Integration\u003cbr\u003e 9. Lebesgue-Stieltjes integrals and measures\u003cbr\u003e 10. The Riesz representation theorem\u003cbr\u003e 11. General measures\u003cbr\u003e 12. The classical approach\u003cbr\u003e 13. Uniqueness and approximation theorems\u003cbr\u003e 14. Product measures\u003cbr\u003e 15. Borel measures\u003cbr\u003e 16. Real and complex measures\u003cbr\u003e 17. The Radon-Nikodym theorem\u003cbr\u003e Appendix\u003cbr\u003e Solutions\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\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":46006993846552,"sku":"9780521297158","price":41.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521297158i_2334fc8c-bc1b-4beb-a52d-b567713a7da9.jpg?v=1691374892","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/general-integration-and-measure-paperback-9780521297158","provider":"Freshly Printed Books","version":"1.0","type":"link"}