Geometric and analytic number theory
by Taschner, Rudolf, Hlawka, Edmund, Schoißengeier, Johannes
fromUniversitext
In the English edition, the chapter on the Geometry of Numbers has been enlarged to include the important findings of H. Lenstraj furthermore, tried and tested examples and exercises have been included. The translator, Prof. Charles Thomas, has solved the difficult problem of th…
The first of its kind, this book uses geometric algebra to present an innovative approach to elementary and advanced mathematics, extending the real number system to include the concept of direction, which underpins much of modern mathematics and physics.
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in …
The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.
La 4e de couv. indique : "The 'Arithmetic and Geometry' trimester, held at the Hausdorff Research Institute for Mathematics in Bonn, focussed on recent work on Serre's conjecture and on rational points on algebraic varieties. The resulting proceedings volume provides a modern ov…
The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.
This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The second edition now includes a geometric approach to Gauss Reductio…