Mathematics in Nature, Space and Time

Mathematics in Nature, Space and Time PDF Author: John Blackwood
Publisher:
ISBN: 9780863158186
Category : Juvenile Nonfiction
Languages : en
Pages : 0

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Book Description
Here is a Waldorf teachers' book for math. Its contents include: "Mathematics in Nature" "Pythagoras and Numbers" "Platonic Solids" "Rhythm and Cycles" Full-color illustrations and diagrams throughout Mathematics in Nature, Space, and Time is a Waldorf teacher resource for math in class 7 (ages 12-13) and class 8 (ages 13-14). This new edition combines two previously published handbooks: Mathematics around Us and Mathematics in Space and Time.

Mathematics in Nature, Space and Time

Mathematics in Nature, Space and Time PDF Author: John Blackwood
Publisher:
ISBN: 9780863158186
Category : Juvenile Nonfiction
Languages : en
Pages : 0

Get Book Here

Book Description
Here is a Waldorf teachers' book for math. Its contents include: "Mathematics in Nature" "Pythagoras and Numbers" "Platonic Solids" "Rhythm and Cycles" Full-color illustrations and diagrams throughout Mathematics in Nature, Space, and Time is a Waldorf teacher resource for math in class 7 (ages 12-13) and class 8 (ages 13-14). This new edition combines two previously published handbooks: Mathematics around Us and Mathematics in Space and Time.

Mathematics in Space and Time

Mathematics in Space and Time PDF Author: John Blackwood
Publisher: Lindisfarne Books
ISBN: 9780863155604
Category : Mathematics
Languages : en
Pages : 110

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Book Description
A teachers' book for mathematics covering 'Platonic Solids' and 'Rhythm and Cycles' which includes full colour illustrations and diagrams throughout.A resource for Steiner-Waldorf teachers for maths for Class 8 (age 13-14).

Our Mathematical Universe

Our Mathematical Universe PDF Author: Max Tegmark
Publisher: Vintage
ISBN: 0307744256
Category : Science
Languages : en
Pages : 434

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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 in Nature

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

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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.

Mind and Nature

Mind and Nature PDF Author: Hermann Weyl
Publisher: University of Pennsylvania Press
ISBN: 1512819328
Category : Philosophy
Languages : en
Pages : 112

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Book Description
A new study of the mathematical-physical mode of cognition.

Mathematics and Art

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

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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.

New Foundations for Physical Geometry

New Foundations for Physical Geometry PDF Author: Tim Maudlin
Publisher:
ISBN: 0198701306
Category : Mathematics
Languages : en
Pages : 374

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Book Description
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.

Space and Geometry

Space and Geometry PDF Author: Ernst Mach
Publisher: Courier Corporation
ISBN: 0486439097
Category : Science
Languages : en
Pages : 162

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Book Description
These three essays by an eminent scientist explore the nature, origin, and development of our concepts of space from the points of view of the senses, history, and physics. They examine the subject from every direction, in a manner suitable for both undergraduates and other readers. 25 figures.1906 edition.

How Not to Be Wrong

How Not to Be Wrong PDF Author: Jordan Ellenberg
Publisher: Penguin Press
ISBN: 1594205221
Category : Mathematics
Languages : en
Pages : 480

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Book Description
A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

Growing Patterns

Growing Patterns PDF Author: Sarah C. Campbell
Publisher: Astra Publishing House
ISBN: 1635928370
Category : Juvenile Nonfiction
Languages : en
Pages : 35

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Book Description
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.