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Modeling Nature

Modeling Nature
Author: Sharon E. Kingsland
Publisher: University of Chicago Press
Total Pages: 326
Release: 1995-10-16
Genre: Science
ISBN: 9780226437286

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The first history of population ecology traces two generations of science and scientists from the opening of the twentieth century through 1970. Kingsland chronicles the careers of key figures and the field's theoretical, empirical, and institutional development, with special attention to tensions between the descriptive studies of field biologists and later mathematical models. This second edition includes a new afterword that brings the book up to date, with special attention to the rise of "the new natural history" and debates about ecology's future as a large-scale scientific enterprise.


The Nature of Mathematical Modeling

The Nature of Mathematical Modeling
Author: Neil A. Gershenfeld
Publisher: Cambridge University Press
Total Pages: 268
Release: 1999
Genre: Science
ISBN: 9780521570954

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This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area. The text is complemented by extensive worked problems.


Mathematics in Nature

Mathematics in Nature
Author: John A. Adam
Publisher: Princeton University Press
Total Pages: 408
Release: 2011-10-02
Genre: Mathematics
ISBN: 1400841011

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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.


The Modeling of Nature

The Modeling of Nature
Author: William A Wallace
Publisher: CUA Press
Total Pages: 472
Release: 1996
Genre: Philosophy
ISBN: 0813208602

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The Modeling of Nature provides an excellent introduction to the fundamentals of natural philosophy, psychology, logic, and epistemology.


Modeling Nature

Modeling Nature
Author: Richard J. Gaylord
Publisher: Springer
Total Pages: 266
Release: 2013-12-21
Genre: Science
ISBN: 1468494058

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A guide to using Mathematica so as to explore cellular automata within natural phenomena, such as insect colonies, bird flight paths and even DNA sequencing. Designed for physicists, life scientists, and engineers - in fact, everyone dealing with fractals - the book first introduces Mathematica before going on to provide the valuable information needed to properly motivate the code and run the simulations presented in the book. All these simulations have been tested both inside and outside the classroom setting, allowing the book's use as reference material as well as a textbook or course supplement. Packaged together with a DOS diskette enabling cross-platfform access to the code. The files will also be accessible via the World Wide Web.


Modelling Nature

Modelling Nature
Author: Edward Gillman
Publisher: CABI
Total Pages: 281
Release: 2019-05-30
Genre: Science
ISBN: 1786393107

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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.


Nature as Model

Nature as Model
Author: Luke Morgan
Publisher: University of Pennsylvania Press
Total Pages: 312
Release: 2007
Genre: Architecture
ISBN: 0812239636

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Salomon de Caus was a pivotal figure in the dissemination of the design principles and motifs of the Italian Renaissance garden throughout Europe. By setting the record straight in this biography, Luke Morgan rewrites the received history of early seventeenth-century garden design.


Simulating Nature

Simulating Nature
Author: Arthur C. Petersen
Publisher: CRC Press
Total Pages: 217
Release: 2012-04-24
Genre: Mathematics
ISBN: 1466500670

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Computer simulation has become an important means for obtaining knowledge about nature. The practice of scientific simulation and the frequent use of uncertain simulation results in public policy raise a wide range of philosophical questions. Most prominently highlighted is the field of anthropogenic climate change-are humans currently changing the


Exploring the Geometry of Nature

Exploring the Geometry of Nature
Author: Ed Rietman
Publisher:
Total Pages: 216
Release: 1989
Genre: Computers
ISBN:

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The science of chaos attracts the attention of researchers in many disciplines. The idea: by following simple principles of randomness and disorder, patterns emerge. Here, users on their own PC's can construct mathematical models duplicating processes found in nature.


Catastrophes In Nature And Society: Mathematical Modeling Of Complex Systems

Catastrophes In Nature And Society: Mathematical Modeling Of Complex Systems
Author: Rem G Khlebopros
Publisher: World Scientific
Total Pages: 336
Release: 2007-02-14
Genre: Science
ISBN: 9814477311

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Many people are concerned about crises leading to disasters in nature, in social and economic life. The book offers a popular account of the causative mechanisms of critical states and breakdown in a broad range of natural and cultural systems — which obey the same laws — and thus makes the reader aware of the origin of catastrophic events and the ways to avoid and mitigate their negative consequences. The authors apply a single mathematical approach to investigate the revolt of cancer cells that destroy living organisms and population outbreaks that upset natural ecosystems, the balance between biosphere and global climate interfered lately by industry, the driving mechanisms of market and related economic and social phenomena, as well as the electoral system the proper use of which is an arduous accomplishment of democracy.