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Foundations of Analysis. Third Edition.
・ISBN 978-1-4704-7057-9 paper US$ 69.00
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| 著者・編者 | Landau, Edmund, |
|---|---|
| シリーズ | AMS Chelsea Publishing |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 1966 |
| ページ数 | 136 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-25820＞ |
解説
Why does $2 \times 2 = 4$? What are fractions? Imaginary numbers? Why do the laws of algebra hold? And how do we prove these laws? What are the properties of the numbers on which the Differential and Integral Calculus is based? In other words, what are numbers? And why do they have the properties we attribute to them? Thanks to the genius of Dedekind, Cantor, Peano, Frege, and Russell, such questions can now be given a satisfactory answer. This English translation of Landau's famous Grundlagen der Analysis answers these important questions.