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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.
- Sales Rank: #1740280 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1994-02-25
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .87" w x 5.98" l, 1.42 pounds
- Binding: Hardcover
- 324 pages
- Used Book in Good Condition
Review
"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
About the Author
fm.author_biographical_note1
Bela Bollobas has taught at Cambridge University's Department of Pure Maths and Mathematical Statistics for over 25 years and has been a fellow of Trinity College for 30 years. Since 1996, he has held the unique Chair of Excellence in the Department of Mathematical Sciences at the University of Memphis. Bollobas has previously written over 250 research papers in extremal and probabilistic combinatorics, functional analysis, probability theory, isoperimetric inequalities and polynomials of graphs.
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