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The contemporary study of complex dynamics, which has flourished so much in recent years, is based largely upon work by G. Julia (1918) and P. Fatou (1919/20). The goal of this book is to analyze this work from an historical perspective and show in detail, how it grew out of a corpus regarding the iteration of complex analytic functions. This began with investigations by E. Schröder (1870/71) which he made, when he studied Newton's method. In the 1880's, Gabriel Koenigs fashioned this study into a rigorous body of work and, thereby, influenced a lot the subsequent development. But only, when Fatou and Julia applied set theory as well as Paul Montel's theory of normal families, it was possible to develop a global approach to the iteration of rational maps. This book shows, how this intriguing piece of modern mathematics became reality.
Includes Part 1, Number 1: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - June)
A History of Zinnias brings forward the fascinating adventure of zinnias and the spirit of civilization. With colorful illustrations, this book is a cultural and horticultural history documenting the development of garden zinnias—one of the top ten garden annuals grown in the United States today. The deep and exciting history of garden zinnias pieces together a tale involving Aztecs, Spanish conquistadors, people of faith, people of medicine, explorers, scientists, writers, botanists, painters, and gardeners. The trail leads from the halls of Moctezuma to a cliff-diving prime minister; from Handel, Mozart, and Rossini to Gilbert and Sullivan; from a little-known confession by Benjamin Franklin to a controversy raised by Charles Darwin; from Emily Dickinson, who writes of death and zinnias, to a twenty-year-old woman who writes of reanimated corpses; and from a scissor-wielding septuagenarian who painted with bits of paper to the “Black Grandma Moses” who painted zinnias and inspired the opera Zinnias. Zinnias are far more than just a flower: They represent the constant exploration of humankind’s quest for beauty and innovation.
The first comprehensive treatment of the languages and scripts of Cyprus, from the Late Bronze Age to the Hellenistic Period.
The first digital turn in architecture changed our ways of making; the second changes our ways of thinking. Almost a generation ago, the early software for computer aided design and manufacturing (CAD/CAM) spawned a style of smooth and curving lines and surfaces that gave visible form to the first digital age, and left an indelible mark on contemporary architecture. But today's digitally intelligent architecture no longer looks that way. In The Second Digital Turn, Mario Carpo explains that this is because the design professions are now coming to terms with a new kind of digital tools they have adopted—no longer tools for making but tools for thinking. In the early 1990s the design professions were the first to intuit and interpret the new technical logic of the digital age: digital mass-customization (the use of digital tools to mass-produce variations at no extra cost) has already changed the way we produce and consume almost everything, and the same technology applied to commerce at large is now heralding a new society without scale—a flat marginal cost society where bigger markets will not make anything cheaper. But today, the unprecedented power of computation also favors a new kind of science where prediction can be based on sheer information retrieval, and form finding by simulation and optimization can replace deduction from mathematical formulas. Designers have been toying with machine thinking and machine learning for some time, and the apparently unfathomable complexity of the physical shapes they are now creating already expresses a new form of artificial intelligence, outside the tradition of modern science and alien to the organic logic of our mind.