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Varieties of Integration (Dolciani Mathematical Expositions)
C. Ray Rosentrater
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Description for Varieties of Integration (Dolciani Mathematical Expositions)
Hardcover. A textbook that studies and compares the various different types of integration that young mathematicians encounter. Series: Dolciani Mathematical Expositions. Num Pages: 330 pages, illustrations. BIC Classification: PBKL. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 238 x 159 x 25. Weight in Grams: 578.
By the first year of graduate school, a young mathematician will have encountered at least three separate definitions of the integral. The associated integrals are typically studied in isolation, with little attention paid to the relationships between them or to the historical issues that motivated their definitions. This book redresses this situation by introducing the Riemann, Darboux, Lebesgue, and gauge integrals using a common set of examples. This allows the reader to see how the definitions influence proof techniques and computational strategies. Then the properties of the integrals are compared in three major areas: the class of integrable functions, the ... Read more
By the first year of graduate school, a young mathematician will have encountered at least three separate definitions of the integral. The associated integrals are typically studied in isolation, with little attention paid to the relationships between them or to the historical issues that motivated their definitions. This book redresses this situation by introducing the Riemann, Darboux, Lebesgue, and gauge integrals using a common set of examples. This allows the reader to see how the definitions influence proof techniques and computational strategies. Then the properties of the integrals are compared in three major areas: the class of integrable functions, the ... Read more
Product Details
Publisher
Mathematical Association of America
Format
Hardback
Publication date
2015
Series
Dolciani Mathematical Expositions
Condition
New
Weight
578g
Number of Pages
330
Place of Publication
Washington, United States
ISBN
9780883853597
SKU
V9780883853597
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About C. Ray Rosentrater
C. Ray Rosentrater is a Professor of Mathematics at Westmont College, California, where he has also served as Department Chair and Associate Dean for Curriculum. He has been recognized as Westmont's Teacher of the Year in the Natural and Behavioral Sciences and has received the Faculty Research Award.
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