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MATHEMATICAL PROOF

The text Introduction to Proof in Abstract Mathematics (copyright 1990 Saunders College Publishing) has been reissued by Dover Publications (copyright 2011, Andrew Wohlgemuth). Read the introduction to the Dover edition here.

The following texts be freely copied for personal or class use:

• Deductive Mathematics—an introduction to proof and discovery for mathematics education, 215 pages.

Available (free) from the Digital Commons of the University of Maine Fogler Library.

• Outlining Proofs in Calculus, 52 pages.

Available (free) from the Digital Commons of the University of Maine Fogler Library, or Download as a 246K pdf file.

Read the introduction here.

• Deductive Mathematics—an introduction to proof and discovery. Second edition. 209 pages.

Download as a 989K pdf file. Read the introduction here.

Here's a note on sketches in high-school geometry.

PHILOSOPHY

The introductory sections of the texts above contain some observations on mathematics and philosophy. More of this in The "Unreasonable" Effectiveness of Mathematics.

An essay review of The Resurrection of God Incarnate by Richard Swinburne, Oxford University Press, 2003. The review was requested by and first published in the online journal of the philosophy of religion Ars Disputandi, www.arsdisputandi.org (2004), and republished by The New Oxonian, June 1, 2012.

Personal Philosophy

BIOMEDICAL RESEARCH

Here's a list of my publications in biomedical research.

Here's the story of my involvement in biomedical research.

A FEW LESS PROFOUND BUT PERHAPS HELPFUL NOTES

• A note on benzodiazepine withdrawal and the Ashton Manual.

• A note (pdf) on accumulated blood level of a drug as a function of dosing interval.

• A cure for hiccups.