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The Nature of Mathematics

The Nature of Mathematics
Author: Karl J. Smith
Publisher: Brooks Cole
Total Pages: 0
Release: 2004
Genre: Mathematics
ISBN: 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.


Mathematics in Nature

Mathematics in Nature
Author: John A. Adam
Publisher: Princeton University Press
Total Pages: 408
Release: 2011-10-02
Genre: Mathematics
ISBN: 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
Total Pages: 82
Release: 2013-01-09
Genre: Mathematics
ISBN: 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.


18 Unconventional Essays on the Nature of Mathematics

18 Unconventional Essays on the Nature of Mathematics
Author: Reuben Hersh
Publisher: Springer Science & Business Media
Total Pages: 346
Release: 2006-01-16
Genre: Mathematics
ISBN: 0387298312

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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


The Nature of Mathematical Knowledge

The Nature of Mathematical Knowledge
Author: Philip Kitcher
Publisher: Oxford University Press, USA
Total Pages: 300
Release: 1984
Genre: Electronic books
ISBN: 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 and Power of Mathematics

The Nature and Power of Mathematics
Author: Donald M. Davis
Publisher: Courier Corporation
Total Pages: 408
Release: 2013-03-19
Genre: Mathematics
ISBN: 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.


A Mathematical Nature Walk

A Mathematical Nature Walk
Author: John A. Adam
Publisher: Princeton University Press
Total Pages: 272
Release: 2011-09-12
Genre: Nature
ISBN: 140083290X

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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, and wondered how you might figure out the answers, this is a book for you. 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 many common natural phenomena--and a few uncommon ones--and then shows how to answer them using mostly basic mathematics. Can you weigh a pumpkin just by carefully looking at it? Why can you see farther in rain than in fog? What causes the variations in the colors of butterfly wings, bird feathers, and oil slicks? And why are large haystacks prone to spontaneous combustion? These are just a few of the questions you'll find inside. Many of the problems are illustrated with photos and drawings, and the book also has answers, a glossary of terms, and a list of some of the patterns found in nature. About a quarter of the questions can be answered with arithmetic, and many of the rest require only precalculus. But 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 Modeling

The Nature of Mathematical Modeling
Author: Neil A. Gershenfeld
Publisher: Cambridge University Press
Total Pages: 268
Release: 1999
Genre: Science
ISBN: 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.


Nature of Mathematics

Nature of Mathematics
Author: Karl Smith
Publisher: Cengage Learning
Total Pages: 0
Release: 2011-02
Genre: Mathematics
ISBN: 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.


Nature's Numbers

Nature's Numbers
Author: Ian Stewart
Publisher: Basic Books
Total Pages: 179
Release: 2008-08-04
Genre: Science
ISBN: 0786723920

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"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