An introduction to measure theory and Lebesgue integration rooted in the historical questions that led to its development.
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Soft cover. Zustand: Very Good. Binding tight, interior clean and bright - no highlighting or underlining. Wraps lightly shelf worn, minor creasing to corners. "Meant for advanced undergraduate and graduate students in mathematics.rooted in and motivated by the historical questions that led to its development.stresses the original purpose of the definitions and theorems and highlights some of the difficulties that were encountered as these ideas were refined." - back wrap. 329 pages including index and more. Bestandsnummer des Verkäufers 031196
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Paperback. Zustand: new. Paperback. Meant for advanced undergraduate and graduate students in mathematics, this lively introduction to measure theory and Lebesgue integration is rooted in and motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems and highlights some of the difficulties that were encountered as these ideas were refined. The story begins with Riemann's definition of the integral, a definition created so that he could understand how broadly one could define a function and yet have it be integrable. The reader then follows the efforts of many mathematicians who wrestled with the difficulties inherent in the Riemann integral, leading to the work in the late 19th and early 20th centuries of Jordan, Borel, and Lebesgue, who finally broke with Riemann's definition. Ushering in a new way of understanding integration, they opened the door to fresh and productive approaches to many of the previously intractable problems of analysis. Written for advanced undergraduate and graduate students in mathematics, this introduction to measure theory and Lebesgue integration is motivated by the historical questions that led to its development. The author tells the story of the mathematicians who wrestled with the difficulties inherent in the Riemann integral, leading to the work of Jordan, Borel, and Lebesgue. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9780521711838
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Paperback. Zustand: New. Illustrated. Meant for advanced undergraduate and graduate students in mathematics, this lively introduction to measure theory and Lebesgue integration is rooted in and motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems and highlights some of the difficulties that were encountered as these ideas were refined. The story begins with Riemann's definition of the integral, a definition created so that he could understand how broadly one could define a function and yet have it be integrable. The reader then follows the efforts of many mathematicians who wrestled with the difficulties inherent in the Riemann integral, leading to the work in the late 19th and early 20th centuries of Jordan, Borel, and Lebesgue, who finally broke with Riemann's definition. Ushering in a new way of understanding integration, they opened the door to fresh and productive approaches to many of the previously intractable problems of analysis. Bestandsnummer des Verkäufers LU-9780521711838
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Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
Paperback. Zustand: Brand New. 1st edition. 329 pages. 10.00x7.25x0.75 inches. In Stock. This item is printed on demand. Bestandsnummer des Verkäufers __0521711835
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