Exposition (Books), College Level, by Dr. deLaubenfels

The following need varying amounts of knowledge of calculus, linear algebra, probability, and/or statistics for full comprehension.

"Is Cause and Effect Transitive?"; a semester of probability is sufficient prerequisite.

"Ordinary Differential Equations, Linear Algebra, and Partial Differential Equations," a textbook for students with one year of calculus

"Early History of the Inner Product in Statistics," Master's Thesis, Ohio State University. For much of this, linear algebra, calculus, and a semester of engineering or science probability and statistics is sufficient prerequisite. For some of this, especially the appendices, upper division math and statistics, such as might be in an undergraduate minor in math and statistics, is needed.

"How Old is Statistical Inference?"; calculus and a semester of engineering or science probability and statistics are sufficient prerequisite.

"A Relationship Strictly Between Uncorrelated and Independent"; undergraduate statistics, such as might be in an undergraduate minor in statistics, precalculus, and linear algebra are sufficient prerequisites, if one replaces "Borel measurable function" with "almost any function anyone can think of."

"Common Origins of Statistical Inference and Calculus"; calculus and a semester of engineering or science probability and statistics are sufficient prerequisite.

"Defining Orthogonality Leads to Defining Angles"; trigonometry and linear algebra are sufficient prerequisites.

"Does Ontogeny Recapitulate Phylogeny in Learning Freshman Calculus?"; single-variable "freshman calculus" is sufficient prerequisite.

Back to Home Page

Copyright © 2011-2023 Teacher-Scholar Institute