Foundations & Theorems

This book presents the design methods underlying 3D creations derived from computation. The author shows how different origami forms are designed from a common theory. The book includes numerous photos and design drawings called crease patterns, which are available for download on the author’s websi..

This collection of stories highlights the lives of important but sometimes lesser known personalities in the history of science, including St. Christopher the Dog-Faced. Based on conversations and correspondence with the renowned historian David Pingree, the book is supplemented with extensive quote..

Basic Gambling Mathematics..

By 1950 "The Bright Boys" had built the world’s first real-time computer. Three years later they one-upped themselves when they switched on the world’s first digital network. In 1953 their work was met with incredulity and completely overlooked. By 1968 their work was gospel. Today, it’s the way of ..

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic...

From Trotsky to Gödel..

This book discusses how to design "good" geometric puzzles: two-dimensional dissection puzzles, polyhedral dissections, and burrs. It outlines major categories of geometric puzzles and provides examples, sometimes going into the history and philosophy of those examples. The author presents challenge..

Gödel's Theorem..

Gödel's Theorem..

This authoritative biography of Kurt Goedel relates the life of this most important logician of our time to the development of the field. Goedel's seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from the turn of the century Aus..

This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. It serves as a bridge from the author's puzzle books to his technical writing in the fascinating field of mathematical logic. ..

This volume honors Martin Gardner, with a variety of articles connected to puzzles, magic, and mathematics, including the history behind given puzzles, solitaire puzzles, two-person games, and mathematically interesting objects. The book offers contributions from world-leading puzzle designers, puzz..