Beginning Algebra
... A linear equation in two variables is an equation that can be written in the form Ax + By = C where A, B, and C are real numbers and A and B not both 0. The graph of a linear equation in two variables is a straight line. The form Ax + By = C is called standard form. ...
... A linear equation in two variables is an equation that can be written in the form Ax + By = C where A, B, and C are real numbers and A and B not both 0. The graph of a linear equation in two variables is a straight line. The form Ax + By = C is called standard form. ...
Full text
... Squaring the above relation we get that (2ζ1 − 5)2(a−b) is a rational number, which is impossible for a > b. Hence, our polynomial f (X) has only simple roots, which, via Siegel’s Theorem, shows that equation (3) has only finitely many integer solutions (n, X) whenever b < a are fixed positive integ ...
... Squaring the above relation we get that (2ζ1 − 5)2(a−b) is a rational number, which is impossible for a > b. Hence, our polynomial f (X) has only simple roots, which, via Siegel’s Theorem, shows that equation (3) has only finitely many integer solutions (n, X) whenever b < a are fixed positive integ ...
List of important publications in mathematics
This is a list of important publications in mathematics, organized by field.Some reasons why a particular publication might be regarded as important:Topic creator – A publication that created a new topicBreakthrough – A publication that changed scientific knowledge significantlyInfluence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness and A Source Book in Mathematics by David Eugene Smith.