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Students often find it difficult to grasp fundamental ecological and evolutionary concepts because of their inherently mathematical nature. Likewise, the application of ecological and evolutionary theory often requires a high degree of mathematical competence. This book is a first step to addressing these difficulties, providing a broad introduction to the key methods and underlying concepts of mathematical models in ecology and evolution. The book is intended to serve the needs of undergraduate and postgraduate ecology and evolution students who need to access the mathematical and statistical modelling literature essential to their subjects. The book assumes minimal mathematics and statisti...
This short textbook introduces students to the concept of describing natural systems using mathematical models. We highlight the variety of ways in which natural systems lend themselves to mathematical description and the importance of models in revealing fundamental processes. The process of science via the building, testing and use of models (theories) is described and forms the structure of the book. The book covers a broad range from the molecular to ecosystems and whole-Earth phenomena. Themes running through the chapters include scale (temporal and spatial), change (linear and nonlinear), emergent phenomena and uncertainty. Mathematical descriptions are kept to a minimum and we illustrate mechanisms and results in graphical form wherever possible. Essential mathematical details are described fully, with the use of boxes. The mathematics supports but does not lead the text.
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The year's finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2020 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday aspects of math, and take readers behind the scenes of today’s hottest mathematical debates. Here, Steven Strog...
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Sacramento's oldest residential neighborhood, Alkali Flat, rests near a busy downtown and is bordered by the rail yard, river, and thoroughfares that helped form its identity over a century ago. Named for the crusted alkali deposits that were left by seasonal flooding, the neighborhood has, over time, attracted governors, legislators, artists, and pioneering physicians to take up residence in some of the most exquisitely crafted homes in the American West. Neighborhood lore includes the gradual conquest of the odiferous China Slough and Federal troops billeting there during 1894's Pullman Strike, while the haunting story of little May Woolsey and a tragic tale of crime are the stories spoken of today. Boasting mills, dairies, railroads, and media as well as schools, hospitals, multiethnic churches, and local businesses in its heyday, Alkali Flat's history is characterized by contrasts-old landmarks have fallen or adapted to other uses, but the future holds promise for one of Sacramento's most unique neighborhoods.