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Riemann Approach to Integration: Local Geometric Theory

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Riemann Approach to Integration: Local Geometric Theory Cover

 

Synopses & Reviews

Publisher Comments:

This book presents a detailed and mostly elementary exposition of the generalized Riemann-Stieltjes integrals discovered by Henstock, Kurzweil, and McShane. Along with the classical results, it contains some recent developments connected with lipeomorphic change of variables and the divergence theorem for discontinuously differentiable vector fields.

Synopsis:

A detailed exposition of generalised Riemann — Stieltjes integrals.

Synopsis:

A detailed exposition of generalised Riemann?Stieltjes integrals.

Description:

Includes bibliographical references (p. [293]-295) and index.

Table of Contents

Preface; Acknowledgments; Part I. One-Dimensional Integration: 1. Preliminaries; 2. The McShane integral; 3. Measure and measurability; 4. Integrable functions; 5. Descriptive definition; 6. The Henstock-Kurzweil integral; Part II. Multi-Dimensional Integration: 7. Preliminaries; 8. The McShane integral; 9. Descriptive definition; 10. Change of variables; 11. The gage integral; 12. The F-integral; 13. Recent developments; Bibliography; List of symbols; Index.

Product Details

ISBN:
9780521440356
Author:
Pfeffer, Washek F.
Publisher:
Cambridge University Press
Editor:
Bollobas, B.
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Author:
Fulton, W.
Author:
Sarnak, P.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Bollobas, B.
Location:
Cambridge England ;
Subject:
Calculus
Subject:
Probability
Subject:
Geometry - General
Subject:
Riemann integral.
Subject:
Probability & Statistics - General
Subject:
Riemann integral Riemann integral
Subject:
Mathematics-Calculus
Edition Description:
Hardcover
Series:
Cambridge tracts in mathematics ;
Series Volume:
109
Publication Date:
20060631
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
324
Dimensions:
5.98x9.01x.87 in. 1.42 lbs.

Related Subjects

Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Physics » General

Riemann Approach to Integration: Local Geometric Theory New Hardcover
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Product details 324 pages Cambridge University Press - English 9780521440356 Reviews:
"Synopsis" by , A detailed exposition of generalised Riemann — Stieltjes integrals.
"Synopsis" by , A detailed exposition of generalised Riemann?Stieltjes integrals.
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