This 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.
"synopsis" may belong to another edition of this title.
This 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.
"About this title" may belong to another edition of this title.
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Softcover. Condition: Very Good. Dust Jacket Condition: No Dust Jacket. First Paperback Edition. Some foxing to top of book block. Minor sccuffs on the top of the spine.; Neat black and white 2D mathematical formulas and diagrams. Some foxing to top of book block. This book is a sequel to Weir, Alan J's Earlier work on Lebesgue integration and measure. This book generalizes the Lebesgue integral to the Daniell integral and explores the related general theory of measure. It is particularly useful for final-year honours courses in pure mathematics and graduate courses in functional analysis and measure theory, providing foundational knowledge on topics like Borel measure and Riesz's theorems?; 6 x 8.8 x 0.8 inches; xi, 293 , (5) pages. Seller Inventory # LCB61879
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Condition: New. This is a sequel to Dr Weir's undergraduate textbook on Lebesgue Integration and Measure. Num Pages: 312 pages, figs. BIC Classification: PB. Category: (U) Tertiary Education (US: College). Dimension: 228 x 153 x 19. Weight in Grams: 490. . 2009. Revised ed. paperback. . . . . Seller Inventory # V9780521297158
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