Introduction To Gauge Integrals
Download Introduction To Gauge Integrals full books in PDF, epub, and Kindle. Read online free Introduction To Gauge Integrals ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Introduction to Gauge Integrals
Author | : Charles Swartz |
Publisher | : World Scientific |
Total Pages | : 176 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9789812810656 |
Download Introduction to Gauge Integrals Book in PDF, Epub and Kindle
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. Contents: Introduction to the Gauge or Henstock-Kurzweil Integral; Basic Properties of the Gauge Integral; Henstock''s Lemma and Improper Integrals; The Gauge Integral over Unbounded Intervals; Convergence Theorems; Integration over More General Sets: Lebesgue Measure; The Space of Gauge Integrable Functions; Multiple Integrals and Fubini''s Theorem; The McShane Integral; McShane Integrability is Equivalent to Absolute Henstock-Kurzweil Integrability. Readership: Upper level undergraduates and mathematicians interested in gauge integrals.
Introduction to Gauge Integrals Related Books
Pages: 176
Pages: 304
Pages: 390
Pages: 56
Pages: 625