ENGLISH

Trigonometric series : volumes I & II combined

By Antoni Zygmund

Book information

Publisher
Cambridge University
Year
2002
ISBN
0521890535, 9780521890533
Language
english
Format
DJVU
Filesize
19 MB (19823463 bytes)
Series
Cambridge mathematical library
Edition
3ed.
Pages
781\781
Library
Kolxo3
DPI
600
Time added
2012-12-29 17:00:00

Description

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

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