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Working independently doesn't mean going it alone: be guided through the Extended Project from start to finish and every stage in between.

Extrinsic geometric flows are characterized by a submanifold evolving in an ambient space with velocity determined by its extrinsic curvature. The goal of this book is to give an extensive introduction to a few of the most prominent extrinsic flows, namely, the curve shortening flow, the mean curvature flow, the Gauss curvature flow, the inverse-mean curvature flow, and fully nonlinear flows of mean curvature and inverse-mean curvature type. The authors highlight techniques and behaviors that frequently arise in the study of these (and other) flows. To illustrate the broad applicability of...

This book is the first major study in English of a group of late twelfth-century religious enthusiasts, the early Humiliati, who were condemned by the Church as heretics in 1184 but--in a remarkable transition--were reconciled seventeen years later and went on to establish a highly successful religious order in northern Italy. Using a wide range of sources, the nature of the early movement and its processes of institutional development are reconstructed. The book also includes a Bullarium Humiliatorum, a list of papal and episcopal letters and privileges.

This first-ever interdisciplinary study of woman as prophet shows that, in these troubling times, ordinary women especially Christian women need to function as prophets by proclaiming, in word and deed, the indispensability of lovingly seeking the welfare of others. More specifically, social science shows that the person-centered love prophesied by women prophets is able to meet interpersonal challenges within the home and world, while philosophy and theology establish that women are able to excel as prophets due to the virtuous dispositions inculcated by femininity, the choice to be caring,...

This volume presents research on students' conceptual difficulties with linear algebra. It discusses the following research questions:

a. How can applications of Linear Algebra be used as motivation for studying the topic?

b. What are the advantages of proving results in Linear Algebra in different ways?

c. In what ways can a linear algebra course be adapted to meet the needs of students from other disciplines, such as engineering, physics, and computer science?

d. How can challenging problems be used in teaching Linear Algebra?

e. In what way should technology be...