| ISBN |
1108488064 (hardcover)
|
| ISBN13桁 |
9781108488068 (hardcover)
|
| 無効なISBN等 |
9781108781817 (electronic book)
|
| テキストの言語 |
英語
|
| 分類：NDC10版 |
412
|
| 個人著者標目 |
Körner, T. W.
|
| 姓名の完全形 |
(Thomas William),
|
| 生没年等 |
1946-
|
| 本タイトル |
Where do numbers come from? /
|
| 著者名 |
T.W. Körner, University of Cambridge.
|
| 出版地・頒布地 |
Cambridge, United Kingdom ;
|
| 出版者・頒布者名 |
Cambridge University Press,
|
| 出版年・頒布年 |
2020.
|
| 数量 |
xi, 260 pages :
|
| 他の形態的事項 |
illustrations ;
|
| 大きさ |
24 cm.
|
| 書誌注記 |
Includes bibliographical references (pages 255-256) and index.
|
| 内容注記 |
Introduction -- PART I. The rationals : 1. Counting sheep -- 2. The strictly positive rationals -- 3. The rational numbers -- PART II. The natural numbers : 4. The golden key -- 5. Modular arithmetic -- 6. Axioms for the natural numbers -- PART III. The real numbers (and the complex numbers) : 7. What is the problem? -- 8. And what is its solution? -- 9. The complex numbers -- 10. A plethora of polynomials -- 11. Can we go further?
|
| 要約、抄録、注釈等 |
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.
|
| 一般件名 |
Number theory.
Mathematics -- Philosophy. |
| 資料情報1 |
『Where do numbers come from? /』 T.W. Körner, University of Cambridge. Cambridge University Press, 2020.
（所蔵館：中央
請求記号：F/412.0/K84/W
資料コード：7113005897）
|
| URL |
https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352043579 |
