Mathematics in Nature

Author: John Adam
Publisher: Princeton University Press
ISBN: 1400841011
Category : Mathematics
Languages : en
Pages : 408

Book Description
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.

Math in Nature

Author: Nancy Dickmann
Publisher: Hungry Tomato (R)
ISBN: 1541500997
Category : Juvenile Nonfiction
Languages : en
Pages : 36

Book Description
"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

Author: Jennifer Rozines Roy
Publisher: Marshall Cavendish
ISBN: 9780761419990
Category : Juvenile Nonfiction
Languages : en
Pages : 36

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

The Mathematics of Patterns, Symmetries, and Beauties in Nature

Author: Bourama Toni
Publisher: Springer
ISBN: 9783030922948
Category : Science
Languages : en
Pages : 0

Book Description
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.

The Nature and Power of Mathematics

Author: Donald M. Davis
Publisher: Courier Corporation
ISBN: 0486152154
Category : Mathematics
Languages : en
Pages : 408

Book Description
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.

Nature's Numbers

Author: Ian Stewart
Publisher: Basic Books
ISBN: 0786723920
Category : Science
Languages : en
Pages : 179

Book Description
"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

Mathematics, Nature, Art

Author: Maria Mannone
Publisher: New Digital Frontiers Srl
ISBN: 9788855090469
Category : Mathematics
Languages : en
Pages : 134

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

A Mathematical Nature Walk

Author: John A. Adam
Publisher: Princeton University Press
ISBN: 9780691128955
Category : Mathematics
Languages : en
Pages : 292

Book Description
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, this book isfor your. 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 natural phenomena and then shows how to answer them using mostly basic mathematics. Many of the problems are illustrated, and the book also has answers, a glossary of terms, and a list of patterns found in nature. 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. --

Our Mathematical Universe

Author: Max Tegmark
Publisher: Vintage
ISBN: 0307744256
Category : Science
Languages : en
Pages : 434

Book Description
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

Mathematics and Art

Author: Lynn Gamwell
Publisher: Princeton University Press
ISBN: 0691165289
Category : Art
Languages : en
Pages : 576

Book Description
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.