ISBN10: 3319015761, ISBN13: 9783319015767, [publisher: Springer International Publishing] Hardcover Druck auf Anfrage Neuware - Printed after ordering - 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.By focusing on the set-theoretic aspects of analysis, this text makes the best of two worlds: it combines a down-to-earth introduction to set theory with an exposition of the essence of analysis-the study of infinite processes on the real numbers. It is intended for senior undergraduates, but it will also be attractive to graduate students and professional mathematicians who, until now, have been contentto 'assume' the real numbers. Its prerequisites are calculus and basic mathematics.Mathematical history is woven into the text, explaining how the concepts of real number and infinity developed to meet the needs of analysis from ancient times to the late twentieth century. This rich presentation of history, along with a background of ...
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Hardback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; 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. ISBN 3319015761 9783319015767 [GB]

Springer Verlag, Date: 2013. Hardcover. New. 2013 edition. 294 pages. 9.25x6.50x0.75 inches. 2013. Springer Verlag ISBN 3319015761 9783319015767 [GB]

Springer Verlag, Date: 2013. Hardcover. New. 2013 edition. 294 pages. 9.25x6.50x0.75 inches. 2013. Springer Verlag ISBN 3319015761 9783319015767 [GB]

Springer 2013 2013 ed. Hard cover New 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. 2013. 2013th Edition. Hardcover.....We ship daily from our Bookshop.