This book compiles problems and solutions from the William Lowell Putnam Mathematical Competition from 1985 to 2000. It aims to highlight the connections between these problems and important …

PREFACE This collection of exercises is designed to provide a framework for discussion in a junior level linear algebra class such as the one I have conducted fairly regularly at Portland State University. …

Jun 13, 2021 · The total graph is built by joining the graph to its line graph by means of the incidences. We introduce a similar construction for signed graphs. Under two similar definitions of the line signed ...

Precalculus textbook covering functions, graphs, polynomials, exponentials, logarithms, and trigonometry. Ideal for high school or early college math.

Let B be a set of more than 2n+1 /n distinct points with coordinates of the form (±1, ±1, . . . , ±1) in n-dimensional space with n ≥ 3. Show that there are three distinct points in B which are the vertices of …

For given 10 points, the maximum no. of acute triangles is: the no. of subsets of 4 points x 3/the no. of subsets of 4 points containing 3 given points. The total no. of 88 ftriangles is the same expression …