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The Real Numbers: An Introduction to Set Theory and Analysis (Undergraduate Texts in Mathematics)

John Stillwell




[PDF.pn22] The Real Numbers: An Introduction to Set Theory and Analysis (Undergraduate Texts in Mathematics)

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 | #1027434 in Books |  2013-10-16 | Original language:English | PDF # 1 |  9.21 x.63 x6.14l,1.20 | File type: PDF | 244 pages

||6 of 6 people found the following review helpful.| Got what I came for, but wishing more details and clarity...|By Tri D. Atran|Definitely, you get what a Dedekind Cut is visually that is why I purchased the book. Doing the problem exercises shall put the meat on the bones of the exposition to be a completely filled in body of work. This is a book of in need of Elementary Number Theory to go with it. I recommend Burton's Elemen| ||“This is a book of both analysis and set theory, and the analysis begins at an elementary level with the necessary treatment of completeness of the reals. … the analysis makes it valuable to the serious student, say a senior or first-year graduat

While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts of continuity and measure. But these seemingly simple requirements lead to deep issues of set theory―uncountability, the axiom of choice, and large cardinals. In fact, virtually all the concept...

You easily download any file type for your device.The Real Numbers: An Introduction to Set Theory and Analysis (Undergraduate Texts in Mathematics)   |  John Stillwell. I was recommended this book by a dear friend of mine.

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