Cambridge Tracts in Mathematics: The Riemann Approach to Integration: Local Geometric Theory Series Number 109 (Paperback)
  • Cambridge Tracts in Mathematics: The Riemann Approach to Integration: Local Geometric Theory Series Number 109 (Paperback)
zoom

Cambridge Tracts in Mathematics: The Riemann Approach to Integration: Local Geometric Theory Series Number 109 (Paperback)

(author)
£45.99
Paperback 324 Pages / Published: 24/03/2008
  • Not available

This product is currently unavailable.

  • This item has been added to your basket
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.

Publisher: Cambridge University Press
ISBN: 9780521056823
Number of pages: 324
Weight: 494 g
Dimensions: 228 x 152 x 18 mm

You may also be interested in...

Limits, Limits Everywhere
Added to basket
The Golden Ticket
Added to basket
£21.00
Hardback
The Cartoon Guide to Calculus
Added to basket
Calculus
Added to basket
£42.99
Hardback
Visual Complex Analysis
Added to basket
Thomas' Calculus in SI Units
Added to basket
Maths for Science
Added to basket
£37.99
Paperback
An Introduction to Manifolds
Added to basket
A Brief Guide to the Great Equations
Added to basket

Please sign in to write a review

Your review has been submitted successfully.