Add to ORKGThis project investigates the development of four different proofs of the law of quadratic reciprocity, in order to study the critical reasoning process that drives discovery in mathematics. We begin with an examination of the first proof of this law given by Gauss. We then describe Gauss’ fourth proof of this law based on Gauss sums, followed by a look at Eisenstein’s geometric simplification of Gauss’ third proof. Finally, we finish with an examination of one of the modern proofs of this theorem published in 1991 by Rousseau. Through this investigation we aim to analyze the different strategies used in the development of each of these proofs, and in the process gain a better understanding of this theorem
Abstract. We discuss number theory with the ultimate goal of understanding quadratic reciprocity. We...
In this paper we present an analysis of the inductive reasoning of twelve secondary students in a ma...
This thesis discusses quadratic congruences and Gauss\u27 Quadratic Reciprocity Law. Quadratic congr...
The law of quadratic reciprocity is an important result in number theory. The purpose of this thesis...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
This paper deals with The Law of Quadratic Reciprocity which is considered to be the major theorem o...
In this thesis we will take a look at the development of the law of quadratic reciprocity. What is n...
This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic recip...
In this thesis, we seek to prove results about quadratic and cubic reciprocity in great detail. Alth...
was guessed by Euler and Legendre and whose first complete proof was supplied by Gauss. A result cen...
Abstract. We discuss number theory with the ultimate goal of understanding quadratic reciprocity. We...
In this paper we present an analysis of the inductive reasoning of twelve secondary students in a ma...
This thesis discusses quadratic congruences and Gauss\u27 Quadratic Reciprocity Law. Quadratic congr...
The law of quadratic reciprocity is an important result in number theory. The purpose of this thesis...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
Gauss’s quadratic reciprocity theorem is among the most important results in the history of number t...
This paper deals with The Law of Quadratic Reciprocity which is considered to be the major theorem o...
In this thesis we will take a look at the development of the law of quadratic reciprocity. What is n...
This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic recip...
In this thesis, we seek to prove results about quadratic and cubic reciprocity in great detail. Alth...
was guessed by Euler and Legendre and whose first complete proof was supplied by Gauss. A result cen...
Abstract. We discuss number theory with the ultimate goal of understanding quadratic reciprocity. We...
In this paper we present an analysis of the inductive reasoning of twelve secondary students in a ma...
This thesis discusses quadratic congruences and Gauss\u27 Quadratic Reciprocity Law. Quadratic congr...