Can I read The Integrals of Lebesgue, Denjoy, Perron, and Henstock (Graduate Studies in Mathematics, 4) on EtoBox?

The Integrals of Lebesgue, Denjoy, Perron, and Henstock (Graduate Studies in Mathematics, 4) by Russell A. Gordon is a nonfiction available to read on EtoBox.

What is The Integrals of Lebesgue, Denjoy, Perron, and Henstock (Graduate Studies in Mathematics, 4) about?

This book provides 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′ is integrable on [a,b] and ∫baF′=F(b)−F(a). One of the book's unique features is that the Denjoy, Perron, and Henstock integrals are each developed fully and 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. It would be an excellent textbook for first-year graduate students who have background in real analysis. Readership: First year graduate students in mathematics.

Who reads The Integrals of Lebesgue, Denjoy, Perron, and Henstock (Graduate Studies in Mathematics, 4)?

Author

Russell A. Gordon

Publisher

Providence, R.I. : American mathematical society(IS), American mathematical Society

Published

1994

Language

EN

ISBN

9781470420666

Category

nonfiction

Subjects

Mathematics, Stem