Mathematics in Nature

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Publisher : Princeton University Press
ISBN 13 : 1400841011
Total Pages : 408 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematics in Nature by : John A. Adam

Download or read book Mathematics in Nature written by John A. Adam and published by Princeton University Press. This book was released on 2011-10-02 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691127964
Total Pages : 409 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics in Nature by : John A. Adam

Download or read book Mathematics in Nature written by John A. Adam and published by Princeton University Press. This book was released on 2006-09-10 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author :
Publisher : Princeton University Press
ISBN 13 : 9780691114293
Total Pages : 418 pages
Book Rating : 4.1/5 (142 download)

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Book Synopsis Mathematics in Nature by : John A. Adam

Download or read book Mathematics in Nature written by John A. Adam and published by Princeton University Press. This book was released on 2003 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Nature of Mathematics

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486154963
Total Pages : 82 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Nature of Mathematics by : Philip E. B. Jourdain

Download or read book The Nature of Mathematics written by Philip E. B. Jourdain and published by Courier Corporation. This book was released on 2013-01-09 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Math in Nature

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Author :
Publisher : Hungry Tomato (R)
ISBN 13 : 1541500997
Total Pages : 36 pages
Book Rating : 4.5/5 (415 download)

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Book Synopsis Math in Nature by : Nancy Dickmann

Download or read book Math in Nature written by Nancy Dickmann and published by Hungry Tomato (R). This book was released on 2018-08 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Patterns in Nature

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Author :
Publisher : Marshall Cavendish
ISBN 13 : 9780761419990
Total Pages : 36 pages
Book Rating : 4.4/5 (199 download)

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Book Synopsis Patterns in Nature by : Jennifer Rozines Roy

Download or read book Patterns in Nature written by Jennifer Rozines Roy and published by Marshall Cavendish. This book was released on 2006 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reinforces both pattern identification and reading skills, stimulates critical thinking, and provides students with an understanding of math in the real world.

Patterns in Nature Guided Reading 6-Pack

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Author :
Publisher : Teacher Created Materials
ISBN 13 : 0743968794
Total Pages : 33 pages
Book Rating : 4.7/5 (439 download)

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Book Synopsis Patterns in Nature Guided Reading 6-Pack by :

Download or read book Patterns in Nature Guided Reading 6-Pack written by and published by Teacher Created Materials. This book was released on 2019-08-15 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nature's Numbers

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Author :
Publisher : Basic Books
ISBN 13 : 0786723920
Total Pages : 176 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Nature's Numbers by : Ian Stewart

Download or read book Nature's Numbers written by Ian Stewart and published by Basic Books. This book was released on 2008-08-04 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

The Nature of Mathematics and the Mathematics of Nature

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Author :
Publisher : Elsevier
ISBN 13 : 9780080537344
Total Pages : 345 pages
Book Rating : 4.5/5 (373 download)

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Book Synopsis The Nature of Mathematics and the Mathematics of Nature by : S. Andersson

Download or read book The Nature of Mathematics and the Mathematics of Nature written by S. Andersson and published by Elsevier. This book was released on 1998-10-09 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Nature of Mathematical Knowledge

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Author :
Publisher : Oxford University Press, USA
ISBN 13 : 0195035410
Total Pages : 300 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis The Nature of Mathematical Knowledge by : Philip Kitcher

Download or read book The Nature of Mathematical Knowledge written by Philip Kitcher and published by Oxford University Press, USA. This book was released on 1984 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics, Nature, Art

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Author :
Publisher : New Digital Frontiers Srl
ISBN 13 : 9788855090469
Total Pages : 134 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Mathematics, Nature, Art by : Maria Mannone

Download or read book Mathematics, Nature, Art written by Maria Mannone and published by New Digital Frontiers Srl. This book was released on 2019 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents images from nature investigated in light of mathematics (category theory), and their possible musical rendition.

The Nature and Power of Mathematics

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486152154
Total Pages : 408 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Nature and Power of Mathematics by : Donald M. Davis

Download or read book The Nature and Power of Mathematics written by Donald M. Davis and published by Courier Corporation. This book was released on 2013-03-19 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

18 Unconventional Essays on the Nature of Mathematics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387298312
Total Pages : 346 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis 18 Unconventional Essays on the Nature of Mathematics by : Reuben Hersh

Download or read book 18 Unconventional Essays on the Nature of Mathematics written by Reuben Hersh and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry Interdisciplinary book that will be useful in several fields—with a cross-disciplinary subject area, and contributions from researchers of various disciplines

Growing Patterns

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Author :
Publisher : Astra Publishing House
ISBN 13 : 1635924898
Total Pages : 34 pages
Book Rating : 4.6/5 (359 download)

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Book Synopsis Growing Patterns by : Sarah C. Campbell

Download or read book Growing Patterns written by Sarah C. Campbell and published by Astra Publishing House. This book was released on 2020-10-13 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALSC Notable Children's Book A wonderful introduction to one of the most beautiful connections between mathematics and the natural world–the Fibonacci sequence–through a series of stunning nature photographs. Discover the biggest mathematical mystery in nature—Fibonacci numbers! Named after a famous mathematician, the number pattern is simple and starts with: 1, 1, 2, 3, 5, 8, 13. Each number in the sequence comes from adding the two numbers before it. What's the mystery? The pattern crops up in the most unexpected places. You'll find it in the disk of a sunflower, the skin of a pineapple, and the spiral of a nautilus shell. This book brings math alive, celebrates science, and will inspire kids to see nature through new eyes.

The Mathematics of Patterns, Symmetries, and Beauties in Nature

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Author :
Publisher : Springer
ISBN 13 : 9783030922948
Total Pages : 0 pages
Book Rating : 4.9/5 (229 download)

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Book Synopsis The Mathematics of Patterns, Symmetries, and Beauties in Nature by : Bourama Toni

Download or read book The Mathematics of Patterns, Symmetries, and Beauties in Nature written by Bourama Toni and published by Springer. This book was released on 2023-02-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Amusements in Mathematics

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Publisher : BoD – Books on Demand
ISBN 13 : 3752309725
Total Pages : 678 pages
Book Rating : 4.7/5 (523 download)

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Book Synopsis Amusements in Mathematics by : Henry Ernest Dudeney

Download or read book Amusements in Mathematics written by Henry Ernest Dudeney and published by BoD – Books on Demand. This book was released on 2020-07-17 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reproduction of the original: Amusements in Mathematics by Henry Ernest Dudeney

Mathematics and Art

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691165289
Total Pages : 576 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Art by : Lynn Gamwell

Download or read book Mathematics and Art written by Lynn Gamwell and published by Princeton University Press. This book was released on 2016 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.