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portada Where do Numbers Come From?
Type
Physical Book
Publisher
Author
Year
2019
Language
English
Pages
270
Format
Paperback
ISBN13
9781108738385
Categories

Where do Numbers Come From?

T. W. KÖRner (Author) · Cambridge University Press · Paperback

Where do Numbers Come From? - T. W. KÖRner

New Book Imported to Taiwan
Delivery: 13 Aug - 21 Aug Shipping: 4 to 5 business days.
NT$ 2,163
NT$ 2,163

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Synopsis "Where do Numbers Come From? "

Why do we need the real numbers? How should we construct them? These questions arose in the nineteenth century, along with the ideas and techniques needed to address them. Nowadays it is commonplace for apprentice mathematicians to hear 'we shall assume the standard properties of the real numbers' as part of their training. But exactly what are those properties? And why can we assume them? This book is clearly and entertainingly written for those students, with historical asides and exercises to foster understanding. Starting with the natural (counting) numbers and then looking at the rational numbers (fractions) and negative numbers, the author builds to a careful construction of the real numbers followed by the complex numbers, leaving the reader fully equipped with all the number systems required by modern mathematical analysis. Additional chapters on polynomials and quarternions provide further context for any reader wanting to delve deeper.

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