Mathematical Understanding Of Nature
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Mathematical Understanding Of Nature
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Author : Vladimir Igorevich Arnolʹd
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-09-04
Mathematical Understanding Of Nature written by Vladimir Igorevich Arnolʹd and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-04 with Mathematics categories.
"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."--
The Nature Of Mathematical Knowledge
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Author : Philip Kitcher
language : en
Publisher: Oxford University Press, USA
Release Date : 1984
The Nature Of Mathematical Knowledge written by Philip Kitcher and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Electronic books categories.
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.
A Mathematical Nature Walk
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Author : John A. Adam
language : en
Publisher: Princeton University Press
Release Date : 2009
A Mathematical Nature Walk written by John A. Adam and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
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. --
The Nature Of Mathematical Thinking
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Author : Robert J. Sternberg
language : en
Publisher: Routledge
Release Date : 2012-10-12
The Nature Of Mathematical Thinking written by Robert J. Sternberg and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-12 with Education categories.
Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple viewpoints whose expertise might converge on the answers to these and other pressing and interesting questions regarding this subject. The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat.
Mathematics In Nature
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Author : John A. Adam
language : en
Publisher: Princeton University Press
Release Date : 2011-10-02
Mathematics In Nature written by John A. Adam and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-02 with Mathematics categories.
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.
Nature S Numbers
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Author : Ian Stewart
language : en
Publisher: Hachette UK
Release Date : 2014-03-20
Nature S Numbers written by Ian Stewart and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-20 with Mathematics categories.
A mathematical sightseeing tour of the natural world from the author of THE MAGICAL MAZE Why do many flowers have five or eight petals, but very few six or seven? Why do snowflakes have sixfold symmetry? Why do tigers have stripes but leopards have spots? Mathematics is to nature as Sherlock Holmes is to evidence. Mathematics can look at a single snowflake and deduce the atomic geometry of its crystals; it can start with a violin string and uncover the existence of radio waves. And mathematics still has the power to open our eyes to new and unsuspected regularities - the secret structure of a cloud or the hidden rhythms of the weather. There are patterns in the world we are now seeing for the first time - patterns at the frontier of science, yet patterns so simple that anybody can see them once they know where to look.
Quantitative Reasoning
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Author : F. P. Greenleaf
language : en
Publisher:
Release Date : 1994-08
Quantitative Reasoning written by F. P. Greenleaf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08 with Mathematics categories.
Quantitative Reasoning
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Author : Fred Greenleaf
language : en
Publisher:
Release Date : 1994-09
Quantitative Reasoning written by Fred Greenleaf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09 with categories.
Quantitative Reasoning Understanding The Mathematical Patterns Of Nature
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Author : Frederick P. Greenleaf
language : en
Publisher: Ingram
Release Date : 2000
Quantitative Reasoning Understanding The Mathematical Patterns Of Nature written by Frederick P. Greenleaf and has been published by Ingram this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Symmetry
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Author : Marcus Du Sautoy
language : en
Publisher: Harper Collins
Release Date : 2009-10-13
Symmetry written by Marcus Du Sautoy and has been published by Harper Collins this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-13 with Mathematics categories.
A mathematician takes us on “a pilgrimage through the uncanny world of symmetry [in] a dramatically presented and polished treasure of theories” (Kirkus Reviews). Symmetry is all around us. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy—a writer “able to engage general readers in the cerebral dramas of pure mathematics” (Booklist)—takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry’s elusive qualities. “The author takes readers gently by the hand and leads them elegantly through some steep and rocky terrain as he explains the various kinds of symmetry and the objects they swirl around. Du Sautoy explains how this twirling world of geometric figures has strange but marvelous connections to number theory, and how the ultimate symmetrical object, nicknamed the Monster, is related to string theory. This book is also a memoir in which du Sautoy describes a mathematician’s life and how one makes a discovery in these strange lands. He also blends in minibiographies of famous figures like Galois, who played significant roles in this field.” —Publishers Weekly “Fascinating and absorbing.” —The Economist “Impressively, he conveys the thrill of grasping the mathematics that lurk in the tile work of the Alhambra, or in palindromes, or in French mathematician Évariste Galois’s discovery of the interactions between the symmetries in a group.” —Kirkus Reviews