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· 제목 : Introduction to Real Analysis 
· 분류 : 국내도서 > 대학교재/전문서적 > 자연과학계열 > 수학
· ISBN : 9789813136977
· 쪽수 : 512쪽
· 출판일 : 2021-02-24
· 분류 : 국내도서 > 대학교재/전문서적 > 자연과학계열 > 수학
· ISBN : 9789813136977
· 쪽수 : 512쪽
· 출판일 : 2021-02-24
책 소개
This text is a single variable real analysis text, designed for the one-year course at the junior, senior, or beginning graduate level. It provides a rigorous and comprehensive treatment of the theore...
This text is a single variable real analysis text, designed for the one-year course at the junior, senior, or beginning graduate level. It provides a rigorous and comprehensive treatment of the theoretical concepts of analysis. The book contains most of the topics covered in a text of this nature, but it also includes many topics not normally encountered in comparable texts. These include the Riemann-Stieltjes integral, the Lebesgue integral, Fourier series, the Weiestrass approximation theorem, and an introduction to normal linear spaces.
목차
1.The real number system
2.Sequences of real numbers
3.Structure of point sets
4.Limits and continuity
5.Differentiation
6.The remann and riemann-stieltjes integral
7.Series of real numbers
8.Sequences and series of functions
9.Orthogonal functions and fourier series
10.Lebesgue measure and integration
2.Sequences of real numbers
3.Structure of point sets
4.Limits and continuity
5.Differentiation
6.The remann and riemann-stieltjes integral
7.Series of real numbers
8.Sequences and series of functions
9.Orthogonal functions and fourier series
10.Lebesgue measure and integration
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