Mathematics in Nature

Mathematics in Nature

Author: John Adam

Publisher: Princeton University Press

Published: 2011-10-02

Total Pages: 408

ISBN-13: 1400841011

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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.


The Nature of Mathematics

The Nature of Mathematics

Author: Philip E. B. Jourdain

Publisher: Courier Corporation

Published: 2013-01-09

Total Pages: 82

ISBN-13: 0486154963

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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.


Nature of Mathematics

Nature of Mathematics

Author: Karl Smith

Publisher: Cengage Learning

Published: 2011-02

Total Pages: 0

ISBN-13: 9780538495288

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The Student Survival and Solutions Manual provides helpful study aids and fully worked-out solutions to all of the odd-numbered exercises in the text. It's a great way to check your answers and ensure that you took the correct steps to arrive at an answer.


The Nature of Mathematical Knowledge

The Nature of Mathematical Knowledge

Author: Philip Kitcher

Publisher: Oxford University Press, USA

Published: 1984

Total Pages: 300

ISBN-13: 0195035410

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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.


The Nature of Mathematical Modeling

The Nature of Mathematical Modeling

Author: Neil A. Gershenfeld

Publisher: Cambridge University Press

Published: 1999

Total Pages: 268

ISBN-13: 9780521570954

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This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area. The text is complemented by extensive worked problems.


The Nature and Power of Mathematics

The Nature and Power of Mathematics

Author: Donald M. Davis

Publisher: Courier Corporation

Published: 2013-03-19

Total Pages: 408

ISBN-13: 0486152154

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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.


The Nature of Mathematics

The Nature of Mathematics

Author: Karl J. Smith

Publisher: Brooks Cole

Published: 2004

Total Pages: 0

ISBN-13: 9780534400231

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Karl Smith's loyal customers adopt his book for its clear writing, its coverage of historical topics, selection of topics, level, exercise sets (featuring great applications problems), and emphasis on problem solving. Since the First Edition of Smith's text was published, thousands of liberal arts students have "experienced" mathematics rather than just doing problems. Smith's writing style gives students the confidence and ability to function mathematically in their everyday lives. The emphasis on problem solving and estimation, along with numerous in-text study aids, encourages students to understand the concepts while mastering techniques.


Our Mathematical Universe

Our Mathematical Universe

Author: Max Tegmark

Publisher: Vintage

Published: 2015-02-03

Total Pages: 434

ISBN-13: 0307744256

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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.


The Nature of Mathematical Thinking

The Nature of Mathematical Thinking

Author: Robert J. Sternberg

Publisher: Routledge

Published: 2012-10-12

Total Pages: 356

ISBN-13: 1136487506

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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.


Mind and Nature

Mind and Nature

Author: Hermann Weyl

Publisher: University of Pennsylvania Press

Published: 2015-09-30

Total Pages: 112

ISBN-13: 1512819328

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