Get Free Shipping on orders over $79
The Riemann Approach to Integration : Local Geometric Theory - Washek F.  Pfeffer

The Riemann Approach to Integration

Local Geometric Theory

By: Washek F. Pfeffer

Hardcover | 2 May 1994

At a Glance

Hardcover


RRP $227.95

$199.75

12%OFF

or 4 interest-free payments of $49.94 with

 or 

Ships in 5 to 7 business days

This book presents a detailed and mostly elementary exposition of the generalised 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. Defining the Lebesgue integral in Euclidean spaces from the McShane point of view has a clear pedagogical advantage: the initial stages of development are both conceptually and technically simpler. The McShane integral evolves naturally from the initial ideas about integration taught in basic calculus courses. The difficult transition from subdividing the domain to subdividing the range, intrinsic to the Lebeque definition, is completely bypassed. The unintuitive Caratheodory concept of measurability is also made more palatable by means of locally fine partitions. Although written as a monograph, the book can be used as a graduate text, and certain portions of it can be presented even to advanced undergraduate students with a working knowledge of limits, continuity and differentiation on the real line.
Industry Reviews
"The author presents a detailed exposition of some recent (Riemann!) approaches to generalized integrals of real-valued functions on compact intervals in Euclidean spaces Rm (m>=1)...The author presents this theory in a very complete, thorough manner." R.G. Bartle, Mathematical Reviews

Other Editions and Formats

Paperback

Published: 24th March 2008

More in Calculus & Mathematical Analysis

The Maths Book : Big Ideas Simply Explained - DK

RRP $42.99

$33.99

21%
OFF
Calculus : A Comprehensive Course - Megan Baker
Calculus Essentials - Travis Madden

$458.99

Introductory Numerical Analysis - Griffin Cook
Calculus : 9th edition - Early Transcendentals, Metric - James Michael Stewart
A Second Course in Statistics : 7th Edition - Regression Analysis - Terry Sincich

RRP $185.35

$141.75

24%
OFF
Calculus, Metric Edition : 9th edition - James Michael Stewart

RRP $184.95

$146.75

21%
OFF
Calculus : 3rd Edition - Michael Spivak

RRP $97.95

$84.75

13%
OFF
Essential Calculus : 2nd Edition - James Stewart

RRP $219.95

$164.75

25%
OFF
The Cartoon Guide to Calculus : Cartoon Guide Series - Larry Gonick