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Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame—a close collaborator with Benoit Mandelbrot, the founder of fractal geometry—and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.
In this essential primer, mathematician Michael Frame, a close collaborator with Benoit Mandelbrot, the founder of fractal geometry, and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology
For 15 years, author George Ropes has followed the unfolding story of climate change for the timely website ClimateYou.org. Along the way, he has covered myriad individual research studies, innovations, catastrophes, and signs of progress, from the resurgence of sustainable communities to lessons learned from the Australian wildfires. This enlightening book presents a selection of these key writings to describe the multifaceted ways that climate change affects
Are profits and sustainability compatible? This book brings unique perspectives to this key debate by exploring the history of green entrepreneurship since the nineteenth century, and its spread globally in industries including renewable energy, organic food, natural beauty, ecotourism, recycling, architecture, and finance. The book uses the lens of the extraordinary and often eccentric men and women who defied convention and imagined that business could help save the planet, rather than consume it. The social and religious beliefs that drove many of these individuals are explored as the book looks at how they overcame huge obstacles to execute their strategies. The green entrepreneurs seen ...
A gorgeously illustrated, accessible book that provides a holistic summary of the key elements for good biophilic design
In this social and ecological account of the Chicago River, Libby Hill tells the story of how a sluggish waterway emptying into Lake Michigan became central to the creation of Chicago as a major metropolis and transportation hub. This widely acclaimed volume weaves the perspectives of science, engineering, commerce, politics, economics, and the natural world into a chronicle of the river from its earliest geologic history through its repeated adaptations to the city that grew up around it. While explaining the river’s role in massive public works, such as drainage and straightening, designed to address the infrastructure needs of a growing population, Hill focuses on the synergy between th...
"This engaging short book is both a mathematician's reflections on grief and a mathematically-informed theory of grieving. Michael Frame retired in 2016 as a professor of mathematics at Yale University, where students fought for a place in his course on fractal geometry. Students appreciated his use of accessible examples- decalcomania paintings and illustrations of cats to explain mathematical concepts-and stories of his work and friendship with the founder of fractal geometry, Benoit Mandelbrot. In this book, he continues his work to make mathematics accessible, using his experiences with grief to give uninitiated readers insights into advanced topics in geometry. The inability to repeat a...
In this volume, Costache endeavours to map the world as it was understood and experienced by the early Christians. Progressing from initial fears, they came to adopt a more positive view of the world through successive shifts of perception. This did not happen overnight. Tracing these shifts, Costache considers the world of the early Christians through an interdisciplinary lens, revealing its meaningful complexity. He demonstrates that the early Christian worldview developed at the nexus of several perspectives. What facilitated this process was above all the experience of contemplating nature. When accompanied by genuine personal transformation, natural contemplation fostered the theological interpretation of the world as it had been known to the ancients.
This volume examines the concerns - political, literary, and identity-based - of contemporary Asian American literatures in neoliberal times.