Introduction To Gauge Integrals

This book presents the Henstock/Kurzweil integral and the Mc Shane integral.\n\nThese 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 Mc Shane 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.Introduction To Gauge Integrals is written by Swartz Charles W and published by World Scientific. ISBNs for Introduction To Gauge Integrals are 9789812810656, 981281065X and the print ISBNs are 9789810242398, 9810242395.