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Nature Mathematized

Nature Mathematized
Author: W. R. Shea
Publisher: Springer Science & Business Media
Total Pages: 346
Release: 1983
Genre: Gardening
ISBN: 9789027714022

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These remarks preface two volumes consisting of the proceedings of the Third International Conference on the History and Philosophy of Science of the International Union of History and Philosophy of Science. The conference was held under the auspices of the Union, The Social Sciences and Humanities Research Council of Canada, and the Canadian Society for History and Philosophy of Science. The meetings took place in Montreal, Canada, 25--29 August 1980, with Concordia University as host institution. The program of the conference was arranged by a Joint Commission of the International Union of History and Philosophy of Science consisting of Robert E. Butts (Canada), John Murdoch (U. S. A. ), Vladimir Kirsanov (U. S. S. R. ), and Paul Weingartner (Austria). The Local Arrangements Committee consisted of Stanley G. French, Chair (Concordia), Michel Paradis, treasurer (McGill), Franyois Duchesneau (Universite de Montreal), Robert Nadeau (Universite du Quebec a Montreal), and William Shea (McGill University). Both committees are indebted to Dr. G. R. Paterson, then President of the Canadian Society for History and Philosophy of Science, who shared his expertise in many ways. Dr. French and his staff worked diligently and efficiently on behalf of all participants. The city of Montreal was, as always, the subtle mixture of extravagance, charm, warmth and excitement that retains her status as the jewel of Canadian cities. The funding of major international conferences is always a problem.


The Language of Nature

The Language of Nature
Author: Geoffrey Gorham
Publisher: U of Minnesota Press
Total Pages: 361
Release: 2016-06-15
Genre: Science
ISBN: 1452951853

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Galileo’s dictum that the book of nature “is written in the language of mathematics” is emblematic of the accepted view that the scientific revolution hinged on the conceptual and methodological integration of mathematics and natural philosophy. Although the mathematization of nature is a distinctive and crucial feature of the emergence of modern science in the seventeenth century, this volume shows that it was a far more complex, contested, and context-dependent phenomenon than the received historiography has indicated, and that philosophical controversies about the implications of mathematization cannot be understood in isolation from broader social developments related to the status and practice of mathematics in various commercial, political, and academic institutions. Contributors: Roger Ariew, U of South Florida; Richard T. W. Arthur, McMaster U; Lesley B. Cormack, U of Alberta; Daniel Garber, Princeton U; Ursula Goldenbaum, Emory U; Dana Jalobeanu, U of Bucharest; Douglas Jesseph, U of South Florida; Carla Rita Palmerino, Radboud U, Nijmegen and Open U of the Netherlands; Eileen Reeves, Princeton U; Christopher Smeenk, Western U; Justin E. H. Smith, U of Paris 7; Kurt Smith, Bloomsburg U of Pennsylvania.


A Mathematical Nature Walk

A Mathematical Nature Walk
Author: John A. Adam
Publisher: Princeton University Press
Total Pages: 272
Release: 2011-09-12
Genre: Nature
ISBN: 140083290X

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How heavy is that cloud? Why can you see farther in rain than in fog? Why are the droplets on that spider web spaced apart so evenly? If you have ever asked questions like these while outdoors, and wondered how you might figure out the answers, this is a book for you. An entertaining and informative collection of fascinating puzzles from the natural world around us, A Mathematical Nature Walk will delight anyone who loves nature or math or both. John Adam presents ninety-six questions about many common natural phenomena--and a few uncommon ones--and then shows how to answer them using mostly basic mathematics. Can you weigh a pumpkin just by carefully looking at it? Why can you see farther in rain than in fog? What causes the variations in the colors of butterfly wings, bird feathers, and oil slicks? And why are large haystacks prone to spontaneous combustion? These are just a few of the questions you'll find inside. Many of the problems are illustrated with photos and drawings, and the book also has answers, a glossary of terms, and a list of some of the patterns found in nature. About a quarter of the questions can be answered with arithmetic, and many of the rest require only precalculus. But regardless of math background, readers will learn from the informal descriptions of the problems and gain a new appreciation of the beauty of nature and the mathematics that lies behind it.


Historiography of Mathematics in the 19th and 20th Centuries

Historiography of Mathematics in the 19th and 20th Centuries
Author: Volker R. Remmert
Publisher: Birkhäuser
Total Pages: 276
Release: 2016-12-08
Genre: Mathematics
ISBN: 3319396498

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This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds often shaped not only their writing on the history of mathematics, but, in some instances, were also influential in their subsequent reception. During the period from roughly 1880-1940, mathematics modernized in important ways, with regard to its content, its conditions for cultivation, and its identity; and the writing of the history of mathematics played into the last part in particular. Parallel to the modernization of mathematics, the history of mathematics gradually evolved into a field of research with its own journals, societies and academic positions. Reflecting both a new professional identity and changes in its primary audience, various shifts of perspective in the way the history of mathematics was and is written can still be observed to this day. Initially concentrating on major internal, universal developments in certain sub-disciplines of mathematics, the field gradually gravitated towards a focus on contexts of knowledge production involving individuals, local practices, problems, communities, and networks. The goal of this book is to link these disciplinary and methodological changes in the history of mathematics to the broader cultural contexts of its practitioners, namely the historians of mathematics during the period in question.


Math in Nature

Math in Nature
Author: Nancy Dickmann
Publisher: Hungry Tomato (R)
Total Pages: 36
Release: 2018-08
Genre: Juvenile Nonfiction
ISBN: 1541500997

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"Learn about number patterns that exist in a sunflower, the reason behind the hexagonal shape of a honeycomb, and all about the Fibonacci sequence. High impact photographs will draw in young readers as they learn about mathematical concepts that exist outside their front door."--]cProvided by publisher.


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.


Mathematics, the Loss of Certainty

Mathematics, the Loss of Certainty
Author: Morris Kline
Publisher:
Total Pages: 0
Release: 2009
Genre: Mathematics
ISBN: 9781435108479

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Descartes and the First Cartesians

Descartes and the First Cartesians
Author: Roger Ariew
Publisher: Oxford University Press, USA
Total Pages: 257
Release: 2014
Genre: Philosophy
ISBN: 0199563519

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Roger Ariew presents a new account of Descartes as a philosopher who sought to engage his contemporaries and society. He argues that the Principles of Philosophy was written to rival Scholastic textbooks, and considers Descartes' enterprise in contrast to the tradition it was designed to replace and in relation to the works of the first Cartesians.


The Nature of Mathematics and the Mathematics of Nature

The Nature of Mathematics and the Mathematics of Nature
Author: S. Andersson
Publisher: Elsevier
Total Pages: 345
Release: 1998-10-09
Genre: Mathematics
ISBN: 9780080537344

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Chemistry, physics and biology are by their nature genuinely difficult. Mathematics, however, is man-made, and therefore not as complicated. Two ideas form the basis for this book: 1) to use ordinary mathematics to describe the simplicity in the structure of mathematics and 2) to develop new branches of mathematics to describe natural sciences. Mathematics can be described as the addition, subtraction or multiplication of planes. Using the exponential scale the authors show that the addition of planes gives the polyhedra, or any solid. The substraction of planes gives saddles. The multiplication of planes gives the general saddle equations and the multispirals. The equation of symmetry is derived, which contains the exponential scale with its functions for solids, the complex exponentials with the nodal surfaces, and the GD (Gauss Distribution) mathematics with finite periodicity. Piece by piece, the authors have found mathematical functions for the geometrical descriptions of chemical structures and the structure building operations. Using the mathematics for dilatation; twins, trillings, fourlings and sixlings are made, and using GD mathematics these are made periodic. This description of a structure is the nature of mathematics itself. Crystal structures and 3D mathematics are synonyms. Mathematics are used to describe rod packings, Olympic rings and defects in solids. Giant molecules such as cubosomes, the DNA double helix, and certain building blocks in protein structures are also described mathematically.


Mathematical Understanding of Nature

Mathematical Understanding of Nature
Author: V. I. Arnold
Publisher: American Mathematical Society
Total Pages: 184
Release: 2014-09-04
Genre: Mathematics
ISBN: 1470417014

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This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership. Original illustrations hand drawn by the author help the reader to further understand and appreciate Arnold's view on the relationship between mathematics and science.