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Add to cart. Gordon , Hardcover. Be the first to write a review About this product. About this product Product Information This is an elementary, self-contained presentation of the integration processes developed by Lebesgue, Denjoy, Perron, and Henstock.

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The Lebesgue integral and its essential properties are first developed in detail. 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 exercises with solutions that illustrate and expand the material in the text. Additional Product Features Dewey Edition.

See 7 for proofs and much more including the

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Be the first to write a review. Choquet, Lectures on Analysis, 3 vols, W.

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Benjamin No previous knowledge of either the Riemann or Lebesgue integral is needed to read and study this book. This should be required reading for every serious student of mathematics. Natanson, Theory of Functions of a Real Variable, 2 vols. The Dover reprint of the English edition pub- lished by Frederick Ungar in contains an appendix on Linear Transformations which extend beyond Hilbert space.

Frigyes Riesz [—] pioneered functional analysis. A classic. Share this link with a friend: Copied!

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