A Mathematical Nature Walk

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A Mathematical Nature Walk

Author : John A. Adam
Publisher : Princeton University Press
ISBN 13 : 140083290X
Total Pages : 272 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis A Mathematical Nature Walk by : John A. Adam

Download or read book A Mathematical Nature Walk written by John A. Adam and published by Princeton University Press. This book was released on 2011-09-12 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics in Nature

Author : John A. Adam
Publisher : Princeton University Press
ISBN 13 : 9780691114293
Total Pages : 418 pages
Book Rating : 4.1/5 (142 download)

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Book Synopsis Mathematics in Nature by : John A. Adam

Download or read book Mathematics in Nature written by John A. Adam and published by Princeton University Press. This book was released on 2003 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: From rainbows to the markings on animals, the visible world is full of patterns that can be described mathematically. Examining such phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature.

Winter Math Walk

Author : Deanna Pecaski McLennan
Publisher :
ISBN 13 : 9781709700620
Total Pages : 50 pages
Book Rating : 4.7/5 (6 download)

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Book Synopsis Winter Math Walk by : Deanna Pecaski McLennan

Download or read book Winter Math Walk written by Deanna Pecaski McLennan and published by . This book was released on 2019-11-24 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is beautiful mathematics in the natural world. In this book two children take a winter math walk in search of interesting treasures. Colourful photos and an easy to access text invite both children and adults to explore the wonders of the winter world. This book can spark mathematical conversations with children, and be used as a guide for discovering the rich math that exists in nature. Photos can also be used to engage children in math talks as they observe and discuss what they see. Mathematical facts for each photo are provided that can be used to prompt readers in learning more about how math shapes our natural world.

Mathematics in Nature

Author : John A. Adam
Publisher : Princeton University Press
ISBN 13 : 0691127964
Total Pages : 409 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics in Nature by : John A. Adam

Download or read book Mathematics in Nature written by John A. Adam and published by Princeton University Press. This book was released on 2006-09-10 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Mathematics of Patterns, Symmetries, and Beauties in Nature

Author : Bourama Toni
Publisher : Springer Nature
ISBN 13 : 3030845966
Total Pages : 150 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis The Mathematics of Patterns, Symmetries, and Beauties in Nature by : Bourama Toni

Download or read book The Mathematics of Patterns, Symmetries, and Beauties in Nature written by Bourama Toni and published by Springer Nature. This book was released on 2021-12-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books.

Natalie's Nature Walk

Author : Seth Dempski
Publisher : The Rosen Publishing Group, Inc
ISBN 13 : 1477764402
Total Pages : 26 pages
Book Rating : 4.4/5 (777 download)

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Book Synopsis Natalie's Nature Walk by : Seth Dempski

Download or read book Natalie's Nature Walk written by Seth Dempski and published by The Rosen Publishing Group, Inc. This book was released on 2014-08-01 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Working with data is a foundational concept not only for mathematics, but also for understanding the world around us. Readers will gain exposure to principles of measurement, such as measuring length and using it to perform operations, while other narratives introduce concepts of money and time. Bright visuals help make math not only concrete, but also fun. Readers join Natalie as she takes a nature walk and practices organizing data in picture graphs. This volume meets CCSS Math Standard 2.MD.D.10.

Nature and Numbers

Author : Georg Glaeser
Publisher : Birkhäuser
ISBN 13 : 3990436244
Total Pages : 360 pages
Book Rating : 4.9/5 (94 download)

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Book Synopsis Nature and Numbers by : Georg Glaeser

Download or read book Nature and Numbers written by Georg Glaeser and published by Birkhäuser. This book was released on 2013-12-18 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians with special interest in biology, physics, geography, astronomy, architecture, design, etc., and being prepared to take pictures at any time, might try to answer unusual questions like the followings: What do a zebra, a tiger shark, and a hard coral have in common? How is this with drying mud, wings of dragon flies, and the structures of leaves? What is the “snail king” and is there also a “worm king”? Which curves stay of the same type after being photographed? Do fishes see like we do if we look through a fisheye lens? Which geometric properties of an object have physical consequences? Which kinds of geometric patterns appear when waves are interfering? In this book you can find 180 double pages with at least as many questions of this kind. The principle to attack a problem is often similar: It starts with a photo that is for some reasons remarkable. In a short description an explanation is offered, including relevant Internet links. Additionally one can frequently find computer simulations in order to illustrate and confirm.

Mathematical Models for Dental Materials Research

Author : Alex Fok
Publisher : Springer Nature
ISBN 13 : 3030378497
Total Pages : 87 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematical Models for Dental Materials Research by : Alex Fok

Download or read book Mathematical Models for Dental Materials Research written by Alex Fok and published by Springer Nature. This book was released on 2020-02-24 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a mechanistic approach—mathematical modeling—for carrying out dental materials research. This approach allows researchers to go beyond the null hypothesis and obtain a solution that is more general and therefore predictive for conditions other than those considered in a study. Hence it can be used either on its own or to complement the commonly used statistical approach. Through a series of practical problems with wide-ranging application, the reader will be guided on: How to construct a mathematical model for the behavior of dental materials by making informed assumptions of the physical, chemical, or mechanical situation How to simplify the model by making suitable simplifications How to calibrate the model by calculating the values of key parameters using experimental results How to refine the model when there are discrepancies between predictions and experiments Only elementary calculus is required to follow the examples and all the problems can be solved by using MS Excel© spreadsheets. This is an ideal book for dental materials researchers without a strong mathematical background who are interested in applying a more mechanistic approach to their research to give deeper insight into the problem at hand. Advance praise for Mathematical Models for Dental Materials Research: “This is a nice addition for research students on how to conduct their work and how to manage data analysis. It brings together a number of important aspects of dental materials investigations which has been missing in the literature. The practical examples make it much easier to understand.” – Michael F. Burrow, Clinical Professor in Prosthodontics, The University of Hong Kong “The great strengths of this volume are the real world examples of dental materials research in the successive chapters. In turn, this is an outcome of the outstanding expertise of both authors. I warmly recommend this book to the dental biomaterials community worldwide.” – David C. Watts, Professor of Biomaterials Science, University of Manchester, UK

The Best Writing on Mathematics 2010

Author : Mircea Pitici
Publisher : Princeton University Press
ISBN 13 : 1400836123
Total Pages : 435 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Best Writing on Mathematics 2010 by : Mircea Pitici

Download or read book The Best Writing on Mathematics 2010 written by Mircea Pitici and published by Princeton University Press. This book was released on 2021-09-14 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year’s most memorable writing on mathematics This anthology brings together the year's finest writing on mathematics from around the world. Featuring promising new voices alongside some of the foremost names in mathematics, The Best Writing on Mathematics makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here readers will discover why Freeman Dyson thinks some mathematicians are birds while others are frogs; why Keith Devlin believes there's more to mathematics than proof; what Nick Paumgarten has to say about the timing patterns of New York City's traffic lights (and why jaywalking is the most mathematically efficient way to cross Sixty-sixth Street); what Samuel Arbesman can tell us about the epidemiology of the undead in zombie flicks; and much, much more. In addition to presenting the year's most memorable writing on mathematics, this must-have anthology also includes a foreword by esteemed mathematician William Thurston and an informative introduction by Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it's headed.

Why Write in Math Class?

Author : Linda Dacey
Publisher : Taylor & Francis
ISBN 13 : 1003842666
Total Pages : 242 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Why Write in Math Class? by : Linda Dacey

Download or read book Why Write in Math Class? written by Linda Dacey and published by Taylor & Francis. This book was released on 2023-10-10 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: To help students communicate their mathematical thinking, many teachers have created classrooms where math talk has become a successful and joyful instructional practice. Building on that success, the ideas in Why Write in Math Class? help students construct, explore, represent, refine, connect, and reflect on mathematical ideas. Writing also provides teachers with a window into each student's thinking and informs instructional decisions.Focusing on five types of writing in math (exploratory, explanatory, argumentative, creative, and reflective), Why Write in Math Class? offers a variety of ways to integrate writing into the math class. The ideas in this book will help you make connections to what you already know about the teaching of writing within literacy instruction and build on what you've learned about the development of classroom communities that support math talk.The authors offer practical advice about how to support writing in math, as well as many specific examples of writing prompts and tasks that require high-cognitive demand. Extensive stories and samples of student work from K-5 classrooms give a vision of how writing in math class can successfully unfold.

Eco-Mathematics Education

Author : Nataly Chesky
Publisher : BRILL
ISBN 13 : 9004466800
Total Pages : 202 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Eco-Mathematics Education by : Nataly Chesky

Download or read book Eco-Mathematics Education written by Nataly Chesky and published by BRILL. This book was released on 2021-10-18 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eco-Mathematics Education strives to show how everyone can experience the embedded connection between mathematics and the natural world. The authors’ sincere hope is that by doing so, we can radically change the way we come to understand mathematics, as well as humanity’s place in the ecosystem. The book hopes to accomplish this by providing in-depth lesson plans and resources for educators and anyone interested in teaching and learning mathematics through an ecological aesthetic perspective. All lessons are based on the inquiry method of teaching, aligned to standards, incorporate art projects inspired by famous artists, and utilize recycled and/or natural materials as much as possible.

312 Things To Do with a Math Journal

Author : Denise Gaskins
Publisher : Tabletop Academy Press
ISBN 13 : 1892083620
Total Pages : 239 pages
Book Rating : 4.8/5 (92 download)

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Book Synopsis 312 Things To Do with a Math Journal by : Denise Gaskins

Download or read book 312 Things To Do with a Math Journal written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2022-03-14 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you looking for new ways to help your children learn math? In a math journal, children explore their own ideas about numbers, shapes, and patterns through drawing or writing in response to a question. Journaling encourages students to develop a rich mathematical mindset. They begin to see connections and make sense of math concepts. They grow confident in their ability to think through new ideas. All they need is a piece of paper, a pencil, and a good prompt to launch their mathematical journey. 312 Things To Do with a Math Journal includes number play prompts, games, math art, story problems, mini-essays, geometry investigations, brainteasers, number patterns, research projects, and much more. These activities work at any grade level, and most can be enjoyed more than once. It doesn’t matter whether your students are homeschooled or in a classroom, distance-learning, or in person. Everyone can enjoy the experience of playing around with math. Early Reviews from My Journaling Beta-Testers: • "We really enjoyed these!" • "I remember doing pages and pages of dull equations with no creativity or puzzle-thinking, but now as a homeschool mom, I'm actually enjoying math for the first time! My daughter's math skills have skyrocketed and she always asks to start homeschool with math." • "Thank you for a great intro to Playful Math!" • "All of the kids were excited about their journals. My oldest kept going without prompting and did several more pages on his own." • "We had a lot of fun doing your math prompts. We had never done any math journaling before, but we will certainly integrate this into our weekly routine from now on." Pick up a copy of 312 Things To Do with a Math Journal and begin your family’s math journaling adventure today.

The Natural Explorer

Author : Tristan Gooley
Publisher : Hachette UK
ISBN 13 : 1444720333
Total Pages : 368 pages
Book Rating : 4.4/5 (447 download)

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Book Synopsis The Natural Explorer by : Tristan Gooley

Download or read book The Natural Explorer written by Tristan Gooley and published by Hachette UK. This book was released on 2012-03-15 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tristan Gooley, author of THE NATURAL NAVIGATOR demonstrates how it is possible to connect profoundly with the lands we travel through. In THE NATURAL EXPLORER he combines the work of the some of the most insightful travellers of the past two thousand years with his own experience. From the author of How To Read Water, The Sunday Times Book Of The Year. The most rewarding travel experiences do not depend on our destination or the length of our journey, but on our levels of awareness. A short walk can compare with an epic journey, when we take the time to focus on the things that dramatically enrich each journey. Exploration is no longer about hardship or long distances, it is about celebrating the sense of connection and discovery that is possible in all our travels.

The Natural Law of Cycles

Author : James H. Bunn
Publisher : Routledge
ISBN 13 : 1351478958
Total Pages : 384 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis The Natural Law of Cycles by : James H. Bunn

Download or read book The Natural Law of Cycles written by James H. Bunn and published by Routledge. This book was released on 2017-07-28 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Natural Law of Cycles assembles scientific work from different disciplines to show how research on angular momentum and rotational symmetry can be used to develop a law of energy cycles as a local and global influence. Angular momentum regulates small-scale rotational cycles such as the swimming of fish in water, the running of animals on land, and the flight of birds in air. Also, it regulates large-scale rotation cycles such as global currents of wind and water.James H. Bunn introduces concepts of symmetry, balance, and angular momentum, showing how together they shape the mobile symmetries of animals. Chapter 1 studies the configurations of animals as they move in a head-first direction. Chapter 2 shows how sea animals follow currents and tides generated by the rotational cycles of the earth. In chapter 3, Bunn explores the biomechanical pace of walking as a partial cycle of rotating limbs. On a large scale, angular momentum governs balanced shifts in plate tectonics.Chapter 4 begins with an examination of rotational wind patterns in terms of the counter-balancing forces of angular momentum. The author shows how these winds augment the flights of birds during migrations. A final chapter centres on the conservation of energy as the most basic principle of science. Bunn argues that in the nineteenth century the unity of nature was seen in the emergent concept of energy, not matter, as the source of power, including the movements of animals and machines. In each chapter Bunn features environmental writers who celebrate mobile symmetries. This book will interest students, naturalists, and advocates of the environmental movement.

Modeling and Simulation in the Medical and Health Sciences

Author : John A. Sokolowski
Publisher : John Wiley & Sons
ISBN 13 : 1118003195
Total Pages : 270 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Modeling and Simulation in the Medical and Health Sciences by : John A. Sokolowski

Download or read book Modeling and Simulation in the Medical and Health Sciences written by John A. Sokolowski and published by John Wiley & Sons. This book was released on 2012-01-25 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is divided into three parts: Fundamentals of Medical and Health Sciences Modeling and Simulation introduces modeling and simulation in the medical and health sciences; Medical and Health Sciences Models provides the theoretical underpinnings of medical and health sciences modeling; and Modeling and Simulation Applications in Medical and Health Sciences focuses on teaching, training, and research applications. The book begins with a general discussion of modeling and simulation from the modeling and simulation discipline perspective. This discussion grounds the reader in common terminology. It also relates this terminology to concepts found in the medical and health care (MHC) area to help bridge the gap between developers and MHC practitioners. Three distinct modes of modeling and simulation are described: live, constructive, and virtual. The live approach explains the concept of using real (live) people employing real equipment for training purposes. The constructive mode is a means of engaging medical modeling and simulation. In constructive simulation, simulated people and simulated equipment are developed to augment real-world conditions for training or experimentation purposes. The virtual mode is perhaps the most fascinating as virtual operating rooms and synthetic training environments are being produced for practitioners and educators at break-neck speed. In this mode, real people are employing simulated equipment to improve physical skills and decision-making ability.

Sum of the Parts

Author : Kent C Ryden
Publisher : University of Iowa Press
ISBN 13 : 1587299887
Total Pages : 186 pages
Book Rating : 4.5/5 (872 download)

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Book Synopsis Sum of the Parts by : Kent C Ryden

Download or read book Sum of the Parts written by Kent C Ryden and published by University of Iowa Press. This book was released on 2011-04-01 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proponents of the new regional history understand that regional identities are constructed and contested, multifarious and not monolithic, that they involve questions of dominance and power, and that their nature is inherently political. In this lively new book, writing in the spirit of these understandings, Kent Ryden engagingly examines works of American regional writing to show us how literary partisans of place create and recreate, attack and defend, argue over and dramatize the meaning and identity of their regions in the pages of their books. Cleverly drawing upon mathematical models that complement his ideas and focusing on both classic and contemporary literary regionalists, Ryden demonstrates that regionalism, in the cultural sense, retains a great deal of power as a framework for literary interpretation. For New England he examines such writers as Robert Frost and Hayden Carruth, Mary E. Wilkins Freeman and Edith Wharton, and Carolyn Chute and Russell Banks to demonstrate that today’s regionalists inspire closer, more democratic readings of life and landscape. For the West and South, he describes Wallace Stegner’s and William Faulkner’s use of region to, respectively, exclude and evade or confront and indict. For the Midwest, he focuses on C. J. Hribal, William Least Heat-Moon, Paul Gruchow, and others to demonstrate that midwesterners continually construct the past anew from the materials at hand, filling the seemingly empty midlands with history and significance. Ryden reveals that there are many Wests, many New Englands, many Souths, and many Midwests, all raising similar issues about the cultural politics of region and place. Writing with appealing freshness and a sense of adventure, he shows us that place, and the stories that emerge from and define place, can be a source of subversive energy that blunts the homogenizing force of region, inscribing marginal places and people back onto the imaginative surface of the landscape when we read it on a place-by-place, landscape-by-landscape, book-by-book basis.

X and the City

Author : John A. Adam
Publisher : Princeton University Press
ISBN 13 : 0691162328
Total Pages : 339 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis X and the City by : John A. Adam

Download or read book X and the City written by John A. Adam and published by Princeton University Press. This book was released on 2013-12 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: What mathematical modeling uncovers about life in the city X and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or movie theaters in a city of a given size? How can mathematics be used to maximize traffic flow through tunnels? Can you predict whether a traffic light will stay green long enough for you to cross the intersection? And what is the likelihood that your city will be hit by an asteroid? Every math problem and equation in this book tells a story and examples are explained throughout in an informal and witty style. The level of mathematics ranges from precalculus through calculus to some differential equations, and any reader with knowledge of elementary calculus will be able to follow the materials with ease. There are also some more challenging problems sprinkled in for the more advanced reader. Filled with interesting and unusual observations about how cities work, X and the City shows how mathematics undergirds and plays an important part in the metropolitan landscape.