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Infinity: A Very Short Introduction (Very Short Introductions)
Download Ebook Infinity: A Very Short Introduction (Very Short Introductions)
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Review
"This particular volume does exactly what it says on the tin, providing just enough background on various aspects of infinity to pique the readerâs interest. It is written with the same clarity and attention to detail as Professor Stewartâs other books." -- Mathematical Gazette"... a concise and compelling invitation to think about some of the deeper issues behind basic questions about infinity ... Written in an accessible style, yet not skirting ideas of convergence or an occasional proof by contradiction, Infinity should appeal to a broad audience of math fans. I would especially recommend the book as supplementary reading for students of calculus or introductory set theory and to anybody who has ever found themselves baffled or awed by the mysteries of infinity." -- Briana Foster-Greenwood, Mathematical Association of America
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About the Author
Professor Ian Stewart of Warwick University is a well-known and highly successful writer on mathematics and its applications. He has authored over 80 books including From Here to Infinity (OUP, 1996), Does God Play Dice? (Penguin, 1997), Symmetry: A Very Short Introduction (OUP, 2013), and the bestselling series The Science of Discworld I, II, III, and IV with Terry Pratchett and Jack Cohen.
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Product details
Series: Very Short Introductions
Paperback: 144 pages
Publisher: Oxford University Press; 1 edition (July 23, 2017)
Language: English
ISBN-10: 9780198755234
ISBN-13: 978-0198755234
ASIN: 0198755236
Product Dimensions:
6.7 x 0.4 x 4.4 inches
Shipping Weight: 7 ounces (View shipping rates and policies)
Average Customer Review:
4.5 out of 5 stars
5 customer reviews
Amazon Best Sellers Rank:
#113,269 in Books (See Top 100 in Books)
A dense, but enjoyable introduction to the idea infinity and its close relatives.Could be too advanced for readers who are brand new to advanced mathematical concepts (e.g. number/set theory). But the armchair philosopher or mathematician should find it accessible, as long as the reader is willing to stop and think (maybe even put the book down and come back) as needed.Makes a good pairing withNothing: VSI, IMHO.Fans of Morris Kline may find similarities in presentation, especially in how concepts are placed in context of history and in the way each new chapter (topic) expands on preceding [chapters].Bottom line: this does what it sets out to do. Gives shape to a collection of ideas that are unavoidably abstract in nature. Five Stars!
interesting to a point. Details are not explained fully enough for me.
Excellent overview of the ways mathematics deals with infinities.
I am satisfied.
This is a brief history and overview of the kinds of infinity that were "discovered" by various mathematicians. First, the history is presented from ancient times on up through the present, with most of the breakthroughs arriving in the past 200 years or so. Next, the types of infinity are given along with their proponents. We learn how and why there are different kinds of infinities based on diagrams, metaphors and succinct explanations. Learn, why for example, a irrational and rational numbers can form different types of infinite sets. And stay at Hilbert's Hotel where there's always a room for you! Also, get a glimpse of Cantor's Paradise, and why we can never go back.All of this is fascinating, and this brief overview is a marvelous delight for this non-mathematician who had extensive training nonetheless in mathematics. I feel that those who had a hard time in maths might be puzzled by a lot of what is contained here, but not all of it. Give it a try!
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