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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.

Publisher:
Singapore ; River Edge, NJ : World Scientific, Ă2001

ISBN:
9789812810656

981281065X

9781281956316

1281956317

9789810242398

9810242395

981281065X

9781281956316

1281956317

9789810242398

9810242395

Characteristics:
1 online resource (x, 157 pages)

Alternative Title:
Gauge integrals

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