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The Integrals of Lebesgue, Denjoy, Perron and Henstock
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The Integrals of Lebesgue, Denjoy, Perron and Henstock Hardcover - 1994

by Russell A. Gordon


From the publisher

This is an elementary, self-contained presentation of the integration processes developed by Lebesgue, Denjoy, Perron, and Henstock. The Lebesgue integral and its essential properties are first developed in detail. The other three integrals are all generalizations of the Lebesgue integral that satisfy the ideal version of the Fundamental Theorem of Calculus: if F is differentiable on the interval [a, b], then F ]1 integrable on [a, b] and f ]b [a = F(b) - F(a). One of the book's unique features is that the Denjoy, Perron, and Henstock integrals are each developed carefully from their corresponding definitions. The last part of the book is devoted to integration processes which satisfy a theorem analogous to the Fundamental Theorem, in which F is approximately differentiable. This part of this book is preceded by a detailed study of the approximate derivative and ends with some open questions. This book contains over 230 exercises (with solutions) that illustrate and expand the material in the text

Details

  • Title The Integrals of Lebesgue, Denjoy, Perron and Henstock
  • Author Russell A. Gordon
  • Binding Hardcover
  • Edition First Edition.
  • Pages 395
  • Volumes 1
  • Language ENG
  • Publisher American Mathematical Society, Providence, Rhode Island, U.S.A:
  • Date 1994
  • ISBN 9780821838051 / 0821838059
  • Weight 1.95 lbs (0.88 kg)
  • Dimensions 10.2 x 7.2 x 1 in (25.91 x 18.29 x 2.54 cm)
  • Library of Congress Catalog Number 94019080
  • Dewey Decimal Code 515.42
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The Integrals of Lebesgue, Denjoy, Perron, and Henstock
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The Integrals of Lebesgue, Denjoy, Perron, and Henstock

by Russell A. Gordon

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American Mathematical Society, 1994. hardcover. very good/no jacket. Small dent to spine. Spine cocked. Some pencil markings. Clean, tight otherwise.
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The Integrals of Lebesgue, Denjoy, Perron, and Henstock (Graduate Studies in Mathematics, 4)
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The Integrals of Lebesgue, Denjoy, Perron, and Henstock (Graduate Studies in Mathematics, 4)

by Russell A. Gordon

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ISBN 10 / ISBN 13
9780821838051 / 0821838059
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Amer Mathematical Society, 1994. Hardcover. New. uk ed. edition. 395 pages. 10.50x7.50x1.00 inches.
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$98.60
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