A01=Charles W Swartz
Author_Charles W Swartz
Category=PBK
Dominated Convergence Theorem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fubini's Theorem
Fundamental Theorem of Calculus
Gauge
Gauge Integral
Henstock's Lemma
Henstock-Kurzweil Integral
Improper Integrals
McShane Integral
Monotone Convergence Theorem
Product details
- ISBN 9789810242398
- Publication Date: 01 Jun 2001
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This book presents the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. These variations lead to integrals which are much more powerful than the Riemann integral. The Henstock/Kurzweil integral is an unconditional integral for which the fundamental theorem of calculus holds in full generality, while the McShane integral is equivalent to the Lebesgue integral in Euclidean spaces.A basic knowledge of introductory real analysis is required of the reader, who should be familiar with the fundamental properties of the real numbers, convergence, series, differentiation, continuity, etc.
