Perhaps nothing expresses the mystery of our search for the divine as well as the labyrinth. A circular pathway based on spirals found in nature, the labyrinth is a time-honored spiritual tool in faith traditions as varied as Native American, Jewish, and Celtic. As seekers walk to the center of the labyrinth, their minds quiet and turn to God. Walking out again, they bring into the world the spiritual gifts they've received.
In A Labyrinth Year, Kautz guides readers on a labyrinth pilgrimage that winds through the seasons of the liturgical year with devotions (to be used while walking the labyrinth) based on the thoughts and emotions of biblical characters whose stories are recalled in the seasonal scripture readings. As readers explore the journeys of these people of faith, they connect with the deeper meaning of the stories and learn to live them out in their own experience.

Based on only elementary mathematics, this engaging account of chaos theory bridges the gap between introductions for the layman and college-level texts. It develops the science of dynamics in terms of small time steps, describes the phenomenon of chaos through simple examples, and concludes with a close look at a homoclinic tangle, the mathematical monster at the heart of chaos. The presentation is enhanced by many figures, animations of chaotic motion (available on a companion CD), and biographical sketches of the pioneers of dynamics and chaos theory. To ensure accessibility to motivated high school students, care has been taken to explain advanced mathematical concepts simply, including exponentials and logarithms, probability, correlation, frequency analysis, fractals, and transfinite numbers. These tools help to resolve the intriguing paradox of motion that is predictable and yet random, while the final chapter explores the various ways chaos theory has been put to practical use.

Based on only elementary mathematics, this engaging account of chaos theory bridges the gap between introductions for the layman and college-level texts. It develops the science of dynamics in terms of small time steps, describes the phenomenon of chaos through simple examples, and concludes with a close look at a homoclinic tangle, the mathematical monster at the heart of chaos. The presentation is enhanced by many figures, animations of chaotic motion (available on a companion CD), and biographical sketches of the pioneers of dynamics and chaos theory. To ensure accessibility to motivated high school students, care has been taken to explain advanced mathematical concepts simply, including exponentials and logarithms, probability, correlation, frequency analysis, fractals, and transfinite numbers. These tools help to resolve the intriguing paradox of motion that is predictable and yet random, while the final chapter explores the various ways chaos theory has been put to practical use.