Introduction to Gauge Integrals
Charles Swartz
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.
سب زمرہ:
سال:
2001
ناشر کتب:
World Scientific Pub Co Inc
زبان:
english
صفحات:
169
ISBN 10:
9810242395
ISBN 13:
9789810242398
فائل:
PDF, 2.00 MB
IPFS:
,
english, 2001