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From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.

Mathematics in nature. --- Mathematical models. --- Models, Mathematical --- Simulation methods --- Biological systems --- Atmospheric waves --- Ondes atmosphériques --- Mathématiques --- Météorologie --- Modèles mathématiques --- Atmospheric waves. --- Mathématiques --- Météorologie --- Modèles mathématiques --- Ondes atmosphériques. --- Biomathematique

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Aims to counteract the fashion for theories of "chaos" and unpredictability by describing a theory that underpins the accuracy of deterministic weather forecasts. This book suggests that further improvements are possible.

Dynamic meteorology. --- Dynamic meteorology --- Rossby waves. --- Rossby waves --- Atmospheric circulation --- Ocean circulation --- Circulation, Ocean --- Oceanography --- Atmospheric motion --- Wind circulation --- Climatology --- Meteorology --- Grosswetterlagen --- Stratospheric circulation --- Winds --- Long waves (Meteorology) --- Major waves (Meteorology) --- Planetary waves --- Atmospheric waves --- Dynamic climatology --- Mathematics. --- Physical oceanography