Modeling Our World
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Modeling Our World
Geographic data models are digital frameworks that describe the location and characteristics of things in the world around us. With a geographic information system, we can use these models as lenses to see, interpret, and analyze the infinite complexity of our natural and man-made environments. With the geodatabase, a new geographic data model introduced with ArcInfo 8, you can extend significantly the level of detail and range of accuracy with which you can model geographic reality in a database environment.
Mathematics
The authors demonstrate mathematical modeling and using mathematical concepts to solve truly interesting problems about how our world works. Mathematical modeling is the process of looking at a problem, finding a mathematical core, working within that core, and coming back to see what mathematics tells you about the problem. Real problems ask such questions as: How do we create computer animations? Where should we locate a fire station? How do we effectively control an animal population? This approach integrates a mix of ideas in geometry, algebra, and data analysis with technologies of computers and graphing calculators. Course 4 (Pre-calculus) is intended as a bridge between MMOW and collegiate mathematics. It introduces students to a number of new concepts (i.e. matrices and vectors) and teaches them new skills that will help prepare them for entry-level undergraduate mathemematics courses, including calculus and discrete mathematics.
Mathematics in Nature
Author: John Adam
language: en
Publisher: Princeton University Press
Release Date: 2011-10-02
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.