Mathematics In Nature

Author : John A. Adam
Publisher : Princeton University Press
Page : 408 pages
File Size : 45,9 Mb
Release : 2011-10-02
Category : Mathematics
ISBN : 9781400841011

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Mathematics in Nature by John A. Adam Pdf

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.

Author : John A. Adam
Publisher : Princeton University Press
Page : 409 pages
File Size : 53,7 Mb
Release : 2006-09-10
Category : Mathematics
ISBN : 9780691127965

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Mathematics in Nature by John A. Adam Pdf

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.

Author : John A. Adam
Publisher : Princeton University Press
Page : 418 pages
File Size : 55,6 Mb
Release : 2003
Category : Biological systems
ISBN : 0691114293

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Mathematics in Nature by John A. Adam Pdf

From rainbows to the markings on animals, the visible world is full of patterns that can be described mathematically. Examining such phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature.

Author : Nancy Dickmann
Publisher : Hungry Tomato (R)
Page : 36 pages
File Size : 54,6 Mb
Release : 2018-08
Category : Juvenile Nonfiction
ISBN : 9781541500990

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Math in Nature by Nancy Dickmann Pdf

"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.

Author : Philip E. B. Jourdain
Publisher : Courier Corporation
Page : 82 pages
File Size : 51,6 Mb
Release : 2013-01-09
Category : Mathematics
ISBN : 9780486154961

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The Nature of Mathematics by Philip E. B. Jourdain Pdf

Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. 1913 edition.

Author : Maria Mannone
Publisher : New Digital Frontiers Srl
Page : 134 pages
File Size : 55,6 Mb
Release : 2019
Category : Mathematics
ISBN : 8855090461

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Mathematics, Nature, Art by Maria Mannone Pdf

This book presents images from nature investigated in light of mathematics (category theory), and their possible musical rendition.

Author : Ian Stewart
Publisher : Basic Books
Page : 176 pages
File Size : 47,6 Mb
Release : 2008-08-04
Category : Science
ISBN : 9780786723928

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Nature's Numbers by Ian Stewart Pdf

"It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear power plants generate electricity according to well-known formulas. But those examples are the tip of the iceberg. In Nature's Numbers, Ian Stewart presents many more, each charming in its own way.. Stewart admirably captures compelling and accessible mathematical ideas along with the pleasure of thinking of them. He writes with clarity and precision. Those who enjoy this sort of thing will love this book."—Los Angeles Times

Author : S. Andersson,M. Jacob
Publisher : Elsevier
Page : 345 pages
File Size : 40,6 Mb
Release : 1998-10-09
Category : Mathematics
ISBN : 0080537340

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The Nature of Mathematics and the Mathematics of Nature by S. Andersson,M. Jacob Pdf

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.

Author : Jennifer Rozines Roy,Gregory Roy
Publisher : Marshall Cavendish
Page : 36 pages
File Size : 50,9 Mb
Release : 2006
Category : Juvenile Nonfiction
ISBN : 0761419993

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Patterns in Nature by Jennifer Rozines Roy,Gregory Roy Pdf

Reinforces both pattern identification and reading skills, stimulates critical thinking, and provides students with an understanding of math in the real world.

Author : Anonim
Publisher : Teacher Created Materials
Page : 33 pages
File Size : 43,7 Mb
Release : 2019-08-15
Category : Juvenile Nonfiction
ISBN : 9780743968799

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Patterns in Nature Guided Reading 6-Pack by Anonim Pdf

Author : Bourama Toni
Publisher : Springer
Page : 0 pages
File Size : 45,5 Mb
Release : 2023-02-25
Category : Science
ISBN : 3030922944

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The Mathematics of Patterns, Symmetries, and Beauties in Nature by Bourama Toni Pdf

This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books.

Author : Nataly Chesky,Jack Milgram
Publisher : BRILL
Page : 202 pages
File Size : 52,5 Mb
Release : 2021-10-18
Category : Education
ISBN : 9789004466807

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Eco-Mathematics Education by Nataly Chesky,Jack Milgram Pdf

Eco-Mathematics Education strives to show how everyone can experience the embedded connection between mathematics and the natural world. The authors’ sincere hope is that by doing so, we can radically change the way we come to understand mathematics, as well as humanity’s place in the ecosystem. The book hopes to accomplish this by providing in-depth lesson plans and resources for educators and anyone interested in teaching and learning mathematics through an ecological aesthetic perspective. All lessons are based on the inquiry method of teaching, aligned to standards, incorporate art projects inspired by famous artists, and utilize recycled and/or natural materials as much as possible.

Author : Donald M. Davis
Publisher : Courier Corporation
Page : 408 pages
File Size : 49,9 Mb
Release : 2013-03-19
Category : Mathematics
ISBN : 9780486152158

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The Nature and Power of Mathematics by Donald M. Davis Pdf

This captivating book explains some of the most fascinating ideas of mathematics to nonspecialists, focusing on non-Euclidean geometry, number theory, and fractals. Numerous illustrations. 1993 edition.

Author : Philip Kitcher
Publisher : Oxford University Press, USA
Page : 300 pages
File Size : 44,9 Mb
Release : 1984
Category : Electronic books
ISBN : 9780195035414

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The Nature of Mathematical Knowledge by Philip Kitcher Pdf

This book argues against the view that mathematical knowledge is a priori, contending that mathematics is an empirical science and develops historically, just as natural sciences do. Kitcher presents a complete, systematic, and richly detailed account of the nature of mathematical knowledge and its historical development, focusing on such neglected issues as how and why mathematical language changes, why certain questions assume overriding importance, and how standards of proof are modified.

Author : Harry Henderson
Publisher : Infobase Publishing
Page : 189 pages
File Size : 46,5 Mb
Release : 2007
Category : Mathematics
ISBN : 9780816057504

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Mathematics by Harry Henderson Pdf

Discusses mathematics and how it plans an intricate part of daily life rather than an isolated science.