ENGLISH

Foundations of Analysis: The Arithmetic of Whole, Rational, Irrational, and Complex Numbers. A Supplement to Textbooks on the Differential and Integral Calculus

By Edmund Landau

Book information

Publisher
Chelsea Publishing Company
Year
1966
ISBN
1470470578, 9781470470579
Language
english
Format
PDF
Filesize
5 MB (5630036 bytes)
Edition
3
Pages
150\150
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2025-03-16 05:08:41

Description

Certainly no clearer treatment of the foundations of the number system can be offered ... one can only be thankful to the author for this fundamental piece of exposition, which is alive with his vitality and genius. —American Mathematical Monthly 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.

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