Lewis D. Ludwig - Böcker

"Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject."– Ed Witten, Recipient of the Fields Medal"I spent a pleasant afternoon perusing the Encyclopedia of Knot Theory. It’s a comprehensive compilation of clear introductions to both classical and very modern developments in the field. It will be a terrific resource for the accomplished researcher, and will also be an excellent way to lure students, both graduate and undergraduate, into the field."– Abigail Thompson, Distinguished Professor of Mathematics at University of California, Davis Knot theory has proven to be a fascinating area of mathematical research, dating back about 150 years. Encyclopedia of Knot Theory provides short, interconnected articles on a variety of active areas in knot theory, and includes beautiful pictures, deep mathematical connections, and critical applications. Many of the articles in this book are accessible to undergraduates who are working on research or taking an advanced undergraduate course in knot theory. More advanced articles will be useful to graduate students working on a related thesis topic, to researchers in another area of topology who are interested in current results in knot theory, and to scientists who study the topology and geometry of biopolymers.FeaturesProvides material that is useful and accessible to undergraduates, postgraduates, and full-time researchersTopics discussed provide an excellent catalyst for students to explore meaningful research and gain confidence and commitment to pursuing advanced degreesEdited and contributed by top researchers in the field of knot theory

This research-grounded guide helps college educators use generative AI to strengthen, not sideline, what they already know about effective teaching.Drawing on decades of experience in faculty development and learning science, Ludwig and Zakrajsek propose a three-stage progression model—Adapt, Create, Embed—to help faculty from any discipline thoughtfully incorporate AI into their teaching. Rather than chasing the latest tech tools, this book focuses on how AI can deepen student learning by enhancing time-tested frameworks such as TILT, Universal Design for Learning, Bloom’s Taxonomy, and Backward Design, all summarized in a handy appendix. Each chapter includes classroom-tested examples, reflection prompts, and activities ready for individual exploration or group discussion.Whether you’re skeptical, curious, or cautiously optimistic, this book offers a clear, practical path to using AI as a partner, not a replacement, in ways that support students and reinvigorate teaching.

This research-grounded guide helps college educators use generative AI to strengthen, not sideline, what they already know about effective teaching.Drawing on decades of experience in faculty development and learning science, Ludwig and Zakrajsek propose a three-stage progression model—Adapt, Create, Embed—to help faculty from any discipline thoughtfully incorporate AI into their teaching. Rather than chasing the latest tech tools, this book focuses on how AI can deepen student learning by enhancing time-tested frameworks such as TILT, Universal Design for Learning, Bloom’s Taxonomy, and Backward Design, all summarized in a handy appendix. Each chapter includes classroom-tested examples, reflection prompts, and activities ready for individual exploration or group discussion.Whether you’re skeptical, curious, or cautiously optimistic, this book offers a clear, practical path to using AI as a partner, not a replacement, in ways that support students and reinvigorate teaching.