Mathematics in Nature : : Modeling Patterns in the Natural World / / John A. Adam.
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 mathem...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2011] ©2003 |
Year of Publication: | 2011 |
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Physical Description: | 1 online resource (392 p.) :; 24 color illus. 84 line illus. 9 tables. |
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Adam, John A., author. aut http://id.loc.gov/vocabulary/relators/aut Mathematics in Nature : Modeling Patterns in the Natural World / John A. Adam. Course Book Princeton, NJ : Princeton University Press, [2011] ©2003 1 online resource (392 p.) : 24 color illus. 84 line illus. 9 tables. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface -- Prologue. Why I Might Never Have Written This Book -- Chapter One. The Confluence of Nature and Mathematical Modeling -- Chapter Two. Estimation: The Power of Arithmetic in Solving Fermi Problems -- Chapter Three. Shape, Size, and Similarity: The Problem of Scale -- Chapter Four. Meteorological Optics I: Shadows, Crepuscular Rays, And Related Optical Phenomena -- Chapter Five. Meteorological Optics II: A "Calculus I" Approach to Rainbows, Halos, and Glories -- Chapter Six. Clouds, Sand Dunes, and Hurricanes -- Chapter Seven. (Linear) Waves of All Kinds -- Chapter Eight. Stability -- Chapter Nine. Bores and Nonlinear Waves -- Chapter Ten. The Fibonacci Sequence and the Golden Ratio (τ) -- Chapter Eleven. Bees, Honeycombs, Bubbles, and Mud Cracks -- Chapter Twelve. River Meanders, Branching Patterns, and Trees -- Chapter Thirteen. Bird Flight -- Chapter Fourteen. How Did the Leopard Get Its Spots? -- Appendix Fractals: An Appetite Whetter. . . -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Mathematical models. MATHEMATICS / Recreations & Games. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691127965 https://doi.org/10.1515/9781400841011 https://www.degruyter.com/isbn/9781400841011 Cover https://www.degruyter.com/cover/covers/9781400841011.jpg |
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English |
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Adam, John A., Adam, John A., |
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Adam, John A., Adam, John A., Mathematics in Nature : Modeling Patterns in the Natural World / Frontmatter -- Contents -- Preface -- Prologue. Why I Might Never Have Written This Book -- Chapter One. The Confluence of Nature and Mathematical Modeling -- Chapter Two. Estimation: The Power of Arithmetic in Solving Fermi Problems -- Chapter Three. Shape, Size, and Similarity: The Problem of Scale -- Chapter Four. Meteorological Optics I: Shadows, Crepuscular Rays, And Related Optical Phenomena -- Chapter Five. Meteorological Optics II: A "Calculus I" Approach to Rainbows, Halos, and Glories -- Chapter Six. Clouds, Sand Dunes, and Hurricanes -- Chapter Seven. (Linear) Waves of All Kinds -- Chapter Eight. Stability -- Chapter Nine. Bores and Nonlinear Waves -- Chapter Ten. The Fibonacci Sequence and the Golden Ratio (τ) -- Chapter Eleven. Bees, Honeycombs, Bubbles, and Mud Cracks -- Chapter Twelve. River Meanders, Branching Patterns, and Trees -- Chapter Thirteen. Bird Flight -- Chapter Fourteen. How Did the Leopard Get Its Spots? -- Appendix Fractals: An Appetite Whetter. . . -- Bibliography -- Index |
author_facet |
Adam, John A., Adam, John A., |
author_variant |
j a a ja jaa j a a ja jaa |
author_role |
VerfasserIn VerfasserIn |
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Adam, John A., |
title |
Mathematics in Nature : Modeling Patterns in the Natural World / |
title_sub |
Modeling Patterns in the Natural World / |
title_full |
Mathematics in Nature : Modeling Patterns in the Natural World / John A. Adam. |
title_fullStr |
Mathematics in Nature : Modeling Patterns in the Natural World / John A. Adam. |
title_full_unstemmed |
Mathematics in Nature : Modeling Patterns in the Natural World / John A. Adam. |
title_auth |
Mathematics in Nature : Modeling Patterns in the Natural World / |
title_alt |
Frontmatter -- Contents -- Preface -- Prologue. Why I Might Never Have Written This Book -- Chapter One. The Confluence of Nature and Mathematical Modeling -- Chapter Two. Estimation: The Power of Arithmetic in Solving Fermi Problems -- Chapter Three. Shape, Size, and Similarity: The Problem of Scale -- Chapter Four. Meteorological Optics I: Shadows, Crepuscular Rays, And Related Optical Phenomena -- Chapter Five. Meteorological Optics II: A "Calculus I" Approach to Rainbows, Halos, and Glories -- Chapter Six. Clouds, Sand Dunes, and Hurricanes -- Chapter Seven. (Linear) Waves of All Kinds -- Chapter Eight. Stability -- Chapter Nine. Bores and Nonlinear Waves -- Chapter Ten. The Fibonacci Sequence and the Golden Ratio (τ) -- Chapter Eleven. Bees, Honeycombs, Bubbles, and Mud Cracks -- Chapter Twelve. River Meanders, Branching Patterns, and Trees -- Chapter Thirteen. Bird Flight -- Chapter Fourteen. How Did the Leopard Get Its Spots? -- Appendix Fractals: An Appetite Whetter. . . -- Bibliography -- Index |
title_new |
Mathematics in Nature : |
title_sort |
mathematics in nature : modeling patterns in the natural world / |
publisher |
Princeton University Press, |
publishDate |
2011 |
physical |
1 online resource (392 p.) : 24 color illus. 84 line illus. 9 tables. Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- Contents -- Preface -- Prologue. Why I Might Never Have Written This Book -- Chapter One. The Confluence of Nature and Mathematical Modeling -- Chapter Two. Estimation: The Power of Arithmetic in Solving Fermi Problems -- Chapter Three. Shape, Size, and Similarity: The Problem of Scale -- Chapter Four. Meteorological Optics I: Shadows, Crepuscular Rays, And Related Optical Phenomena -- Chapter Five. Meteorological Optics II: A "Calculus I" Approach to Rainbows, Halos, and Glories -- Chapter Six. Clouds, Sand Dunes, and Hurricanes -- Chapter Seven. (Linear) Waves of All Kinds -- Chapter Eight. Stability -- Chapter Nine. Bores and Nonlinear Waves -- Chapter Ten. The Fibonacci Sequence and the Golden Ratio (τ) -- Chapter Eleven. Bees, Honeycombs, Bubbles, and Mud Cracks -- Chapter Twelve. River Meanders, Branching Patterns, and Trees -- Chapter Thirteen. Bird Flight -- Chapter Fourteen. How Did the Leopard Get Its Spots? -- Appendix Fractals: An Appetite Whetter. . . -- Bibliography -- Index |
isbn |
9781400841011 9783110442502 9780691127965 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA401 |
callnumber-sort |
QA 3401 A27 42011 |
url |
https://doi.org/10.1515/9781400841011 https://www.degruyter.com/isbn/9781400841011 https://www.degruyter.com/cover/covers/9781400841011.jpg |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
511 - General principles of mathematics |
dewey-full |
511.8 |
dewey-sort |
3511.8 |
dewey-raw |
511.8 |
dewey-search |
511.8 |
doi_str_mv |
10.1515/9781400841011 |
oclc_num |
979577686 |
work_keys_str_mv |
AT adamjohna mathematicsinnaturemodelingpatternsinthenaturalworld |
status_str |
n |
ids_txt_mv |
(DE-B1597)448070 (OCoLC)979577686 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
is_hierarchy_title |
Mathematics in Nature : Modeling Patterns in the Natural World / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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fullrecord |
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