Product Description: The first part of this book provides a short and self-contained account of the theory of algebraic numbers and ideals leading up to Dedekind's theorem that every ideal of an algebraic number field is the unique product of prime ideals...read more

After completing his famous Foundations of Analysis (See AMS Chelsea Publishing, Volume 79.H for the English Edition and AMS Chelsea Publishing, Volume 141 for the German Edition, Grundlagen der Analysis), Landau turned his attention to this book on calculus. The approach is that of an unrepentant analyst, with an emphasis on functions rather than on geometric or physical applications. The book is another example of Landau's formidable skill as an expositor. It is a masterpiece of rigor and clarity.

Product Description: Why does $2 \times 2 = 4$? What are fractions? Imaginary numbers? Why do the laws of algebra hold? 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? This work answers such questions...read more

Product Description: Two volumes in one. In this edition there has been added to Landau's monumental work on prime-number theory two of Landau's papers, a guide to the work and an Appendix by Paul T. Bateman. The text is in German.

Product Description: 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

Product Description: Landau's monumental treatise is a virtual encyclopedia of number theory and is universally recognized as the standard work on the subject. The text is in German.

Product Description: 1m folgenden will ich zunachst iiber die Ziele der einzelnen acht Kapitel und die V orgeschichte jener Fragestellungen berichten. Absichtlich ist im spateren Text durchweg vom Einheitskreis die Rede, in dieser Einleitung vom Kreise I x I -