A breathtakingly illustrated look at botanical spirals and the scientists who puzzled over them Charles Darwin was driven to distraction by plant spirals, growing so exasperated that he once begged a friend to explain the mystery “if you wish to save me from a miserable death.” The legendary naturalist was hardly alone in feeling tormented by these patterns. Plant spirals captured the gaze of Leonardo da Vinci and became Alan Turing’s final obsession. This book tells the stories of the physicists, mathematicians, and biologists who found themselves magnetically drawn to Fibonacci spirals in plants, seeking an answer to why these beautiful and seductive patterns occur in botanical forms as diverse as pine cones, cabbages, and sunflowers. Do Plants Know Math? takes you down through the centuries to explore how great minds have been captivated and mystified by Fibonacci patterns in nature. It presents a powerful new geometrical solution, little known outside of scientific circles, that sheds light on why regular and irregular spiral patterns occur. Along the way, the book discusses related plant geometries such as fractals and the fascinating way that leaves are folded inside of buds. Your neurons will crackle as you begin to see the connections. This book will inspire you to look at botanical patterns—and the natural world itself—with new eyes. Featuring hundreds of gorgeous color images, Do Plants Know Math? includes a dozen creative hands-on activities and even spiral-plant recipes, encouraging readers to explore and celebrate these beguiling patterns for themselves.
Economic Geography is the most complete, up-to-date textbook available on the important new field of spatial economics. This book fills a gap by providing advanced undergraduate and graduate students with the latest research and methodologies in an accessible and comprehensive way. It is an indispensable reference for researchers in economic geography, regional and urban economics, international trade, and applied econometrics, and can serve as a resource for economists in government. Economic Geography presents advances in economic theory that explain why, despite the increasing mobility of commodities, ideas, and people, the diffusion of economic activity is very unequal and remains agglomerated in a limited number of spatial entities. The book complements theoretical analysis with detailed discussions of the empirics of the economics of agglomeration, offering a mix of theoretical and empirical research that gives a unique perspective on spatial disparities. It reveals how location continues to matter for trade and economic development, yet how economic integration is transforming the global economy into an economic space in which activities are performed within large metropolitan areas exchanging goods, skills, and information. Economic Geography examines the future implications of this evolution in the spatial economy and relates them to other major social and economic trends. Provides a complete introduction to economic geography Explains the latest theory and methodologies Covers the empirics of agglomeration, from spatial concentration measurement to structural estimations of economic geography models Includes history and background of the field Serves as a textbook for students and a resource for professionals
Volume Two of this retrospective bibliography is both a continuation and an expansion of Volume One (1984). It contains references to Canadian medical-historical literature published between 1984 and 1998, and also includes much additional material published prior to 1984. Finally, it substantially enlarges the content of French-language material. Every effort has been made to be as inclusive as possible of articles, theses, book chapters and books, both in English and in French, relating to the history of medicine. No single electronic source can replace this bibliography. The contents are divided into three sections. The first is a listing of material expressly biographical. Section two lists material under a wide variety of subject headings related to medicine, and the third is a complete listing of the authors who have contributed these articles. Simply organized and easy to use, this bibliography will be of value to historians, archivists, librarians, and anyone interested in the history of medicine.
When asked, "Where is Murray Bay?" US President Taft always replied, "Murray Bay is a state of mind." For over two hundred years the Charlevoix region has played host to some of the world's most famous and adventurous travellers. Considered the "Newport" of Canada, Charlevoix has been a meeting place for rural French Canadians and urban English-speaking visitors.
A breathtakingly illustrated look at botanical spirals and the scientists who puzzled over them Charles Darwin was driven to distraction by plant spirals, growing so exasperated that he once begged a friend to explain the mystery “if you wish to save me from a miserable death.” The legendary naturalist was hardly alone in feeling tormented by these patterns. Plant spirals captured the gaze of Leonardo da Vinci and became Alan Turing’s final obsession. This book tells the stories of the physicists, mathematicians, and biologists who found themselves magnetically drawn to Fibonacci spirals in plants, seeking an answer to why these beautiful and seductive patterns occur in botanical forms as diverse as pine cones, cabbages, and sunflowers. Do Plants Know Math? takes you down through the centuries to explore how great minds have been captivated and mystified by Fibonacci patterns in nature. It presents a powerful new geometrical solution, little known outside of scientific circles, that sheds light on why regular and irregular spiral patterns occur. Along the way, the book discusses related plant geometries such as fractals and the fascinating way that leaves are folded inside of buds. Your neurons will crackle as you begin to see the connections. This book will inspire you to look at botanical patterns—and the natural world itself—with new eyes. Featuring hundreds of gorgeous color images, Do Plants Know Math? includes a dozen creative hands-on activities and even spiral-plant recipes, encouraging readers to explore and celebrate these beguiling patterns for themselves.
Catalog of an exhibition organized by the J. Paul Getty Museum and the Sterling and Francine Clark Art Institute, held in Williamstown, Mass., June 5-Sept. 5, 2004.
Rousseau may be said to have founded the romantic movement. The great ideals of liberty, equality, and fraternity, which inspired the French Revolution, were first formulated by him. He was one of the first thinkers to emphasize the importance of emotion and feeling in human affairs." - Bertrand Russell A new translation into English from the original manuscripts of Rousseau's classic and influential Les Rêveries du promeneur solitaire" (Reveries of a Solitary Walker) published posthumously in 1782. In this work, Rousseau reflects on his life and experiences, and explores the nature of human existence and the search for meaning. He describes his walks in nature and his encounters with other people, and reflects on the joys and sorrows of human life.
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