{"product_id":"where-do-numbers-come-from-t-w-krner-9781108738385","title":"Where Do Numbers Come From?","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e T. W. Kner\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1108738389\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781108738385\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/24\/2019\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 270\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.90lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.90h x 5.90w x 0.50d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 09\/01\/2020","brand":"T. W. Kner","offers":[{"title":"Paperback","offer_id":43924110541055,"sku":"9781108738385","price":46.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_eed0151e-1a3c-40a5-a4b3-c2e741c4a1bc.jpg?v=1681068538","url":"https:\/\/www.whiterainbookhouse.com\/products\/where-do-numbers-come-from-t-w-krner-9781108738385","provider":"WR Book House","version":"1.0","type":"link"}