AMS Chelsea Publishing
5 total works
Das Kontinuum Und Andere Monographien
by Hermann Weyl, Edmund Landau, and B Riemann
Published 31 December 1972
Landau's classic book on the foundations of analysis is presented in its original German, with a German-English dictionary as an appendix. One intent of this edition is to provide the English-speaking mathematician with an opportunity to learn some mathematical German. Of course, a pleasant by-product is having Landau's exposition on the construction of the real numbers from the natural numbers using Dedekind cuts. The book is written in an extremely telegraphic style, with few words outside the 'Theorem-Proof' motif, making the German notably simpler than in more advanced texts. Thus, the student who begins this book with little or no knowledge of German will gain the experience of successfully reading an entire book in mathematics and with it a feeling for the language and a well-ingrained mathematical vocabulary. The English edition of the book is available as Foundations of Analysis.
This is a translation of Landau's famous Elementare Zahlentheorie with added exercises by Paul T. Bateman and Eugene E. Kohlbecker.
This three-volume classic work is reprinted here as a single volume.
This three-volume classic work is reprinted here as a single volume.
Why is 2 x 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.
A work on prime-number theory. It is in German.