This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus.
Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems.
After introducing the basics of evolutionary processes and classifying available modeling approaches, Dercole and Rinaldi give a detailed presentation of the derivation of the AD canonical equation, an ordinary differential equation that focuses on evolutionary processes driven by rare and small innovations. The authors then look at important features of evolutionary dynamics as viewed through the lens of AD. They present their discovery of the first chaotic evolutionary attractor, which calls into question the common view that coevolution produces exquisitely harmonious adaptations between species. And, opening up potential new lines of research by providing the first application of AD to economics, they show how AD can explain the emergence of technological variety.
Analysis of Evolutionary Processes will interest anyone looking for a self-contained treatment of AD for self-study or teaching, including graduate students and researchers in mathematical and theoretical biology, applied mathematics, and theoretical economics.
This richly illustrated book collects and explores the colorful histories behind a striking range of real antique maps that are all in some way a little too good to be true.
Mysteries within ancient maps: The Phantom Atlas is a guide to the world not as it is, but as it was imagined to be. It's a world of ghost islands, invisible mountain ranges, mythical civilizations, ship-wrecking beasts, and other fictitious features introduced on maps and atlases through mistakes, misunderstanding, fantasies, and outright lies.
Where exploration and mythology meet: Author Edward Brooke-Hitching is a map collector, author, writer for the popular BBC Television program QI and a Fellow of the Royal Geographical Society. He lives in a dusty heap of old maps and books in London investigating the places where exploration and mythology meet.
Cartography’s greatest phantoms: The Phantom Atlas uses gorgeous atlas images as springboards for tales of deranged buccaneers, seafaring monks, heroes, swindlers, and other amazing stories behind cartography's greatest phantoms.
If you are a fan of this popular genre and a reader of books such as Prisoners of Geography, Atlas of Ancient Rome, Atlas Obscura, What If, Book of General Ignorance, or Thing Explainer, your will love The Phantom Atlas
Interweaving physics, astronomy, chemistry, geology, and biology, this sweeping account tells Earth’s complete story, from the synthesis of chemical elements in stars, to the formation of the Solar System, to the evolution of a habitable climate on Earth, to the origin of life and humankind. The book also addresses the search for other habitable worlds in the Milky Way and contemplates whether Earth will remain habitable as our influence on global climate grows. It concludes by considering the ways in which humankind can sustain Earth’s habitability and perhaps even participate in further planetary evolution.
Like no other book, How to Build a Habitable Planet provides an understanding of Earth in its broadest context, as well as a greater appreciation of its possibly rare ability to sustain life over geologic time.
Leading schools that have ordered, recommended for reading, or adopted this book for course use: