Scope
The Disquisitiones covers both elementary number theory and parts of the area of mathematics now called algebraic number theory. However, Gauss did not explicitly recognize the concept of a group, which is central to modern algebra, so he did not use this term. His own title for his subject was Higher Arithmetic. In his Preface to the Disquisitiones Gauss describes the scope of the book as follows:
- The inquiries which this volume will investigate pertain to that part of Mathematics which concerns itself with integers.
Read more about this topic: Disquisitiones Arithmeticae
Famous quotes containing the word scope:
“A country survives its legislation. That truth should not comfort the conservative nor depress the radical. For it means that public policy can enlarge its scope and increase its audacity, can try big experiments without trembling too much over the result. This nation could enter upon the most radical experiments and could afford to fail in them.”
—Walter Lippmann (18891974)
“Every person is responsible for all the good within the scope of his abilities, and for no more, and none can tell whose sphere is the largest.”
—Gail Hamilton (18331896)
“Revolutions are notorious for allowing even non- participantseven women!new scope for telling the truth since they are themselves such massive moments of truth, moments of such massive participation.”
—Selma James (b. 1930)