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The Real Numbers: An Introduction to Set Theory and Analysis
Stillwell
€ 46.99
€ 42.36
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Description for The Real Numbers: An Introduction to Set Theory and Analysis
Hardback. The Real Numbers Series: Undergraduate Texts in Mathematics. Num Pages: 244 pages, 62 black & white illustrations, biography. BIC Classification: PBC; PBKB; PBX. Category: (P) Professional & Vocational. Dimension: 157 x 243 x 21. Weight in Grams: 534.
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 concepts of infinite set theory are needed for a proper understanding of the real numbers, and hence of analysis itself. ... Read more
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 concepts of infinite set theory are needed for a proper understanding of the real numbers, and hence of analysis itself. ... Read more
Product Details
Publisher
Springer International Publishing AG Switzerland
Number of pages
262
Format
Hardback
Publication date
2013
Series
Undergraduate Texts in Mathematics
Condition
New
Weight
553g
Number of Pages
244
Place of Publication
Cham, Switzerland
ISBN
9783319015767
SKU
V9783319015767
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1
About Stillwell
John Stillwell is a professor of mathematics at the University of San Francisco. He is also an accomplished author, having published several books with Springer, including Mathematics and Its History; The Four Pillars of Geometry; Elements of Algebra; Numbers and Geometry; and many more.
Reviews for The Real Numbers: An Introduction to Set Theory and Analysis
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 graduate student. ... Stillwell's book can work well as a text for the course in foundations, with its ... Read more