Fractal Geometry is a recent edition to the collection of mathematical tools for describing nature, and is the first to focus on roughness. Fractal geometry also appears in art, music and literature, most often without being consciously included by the artist. Consequently, through this we may uncover connections between the arts and sciences, uncommon for students to see in maths and science classes. This book will appeal to teachers who have wanted to include fractals in their mathematics and science classes, to scientists familiar with fractal geometry who want to teach a course on fractals, and to anyone who thinks general scientific literacy is an issue important enough to warrant new approaches.
Book Description
Frequently Bought Together
Editorial Reviews
Review
Fractals represent a rebirth of experimental mathematics, enabled by computers and enhanced by powerful evidence of utility. -- Lynn Arthur Steen
Book Description
Fractal Geometry is a new mathematical tool for describing nature. Through this we may uncover connections between the arts and sciences, uncommonly seen in maths and science classes. This book will appeal to anyone wanting to teach a course on fractals, or who is interested in general scientific literacy.
Product Details
Would you like to update product info or give feedback on images?
|
Customer Reviews
|
Share your thoughts with other customers:
|
||||||||||||||||||||||
|
Most Helpful Customer Reviews
11 of 12 people found the following review helpful:
4.0 out of 5 stars
See how fractals can be part of the math curriculum,
By Charles Ashbacher (Marion, Iowa United States) - See all my reviews (TOP 500 REVIEWER) (VINE VOICE) (HALL OF FAME REVIEWER)
This review is from: Fractals, Graphics, and Mathematics Education (Mathematical Association of America Notes) (Paperback)
When I teach computer programming, the sections that raise the greatest amount of interest are those that involve the manipulation of images. Therefore, it is natural to me that any mathematics that involves the manipulation of images would generate a great deal of student interest. I was a working mathematician when the concept of fractals hit the world, and like so many others was caught up in the excitement. I wrote programs to generate them and read all of the major books. That was almost two decades ago, and the field has continued to expand. In this book, you will read about projects where math teachers have incorporated fractals into the curriculum. It is no surprise to me that it was almost universally a success, the sheer beauty of the fractal images guarantees interest and the increase in computing power has made the generation of images much easier. Many of the first images I created required overnight runs, something that can be done in minutes today. The fact that the images do model much of the natural world also increases the interest. Nature is irregular and unpredictable in the micro sense, and fractals give us a way to describe and maybe understand it. The articles are all well written and easy to follow, and many different types of projects are demonstrated. Some of the papers describe the structure of courses in fractals, so if you have an interest in creating such a course, you can find your point of origin. While fractals have occasionally suffered from the common malady of being oversold, they do provide a bridge between mathematics and the real world. Therefore, the study of fractals should be part of the mathematics curriculum, and in this book you can read about how many people have successfully done it. Another quality book on contemporary mathematics, it should be part of the next iteration of library purchases everywhere.
Share your thoughts with other customers: Create your own review
|
|
Inside This Book
(learn more)
First Sentence:
Short is the distance between the elementary and the most sophisticated results, which brings rank beginners close to certain current concerns of the specialists. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
gasket parameters, fractal geometry courses, paper folding process, teaching fractals, wada basins, fractals course, dragon curve, escape criterion, fractal drums, natural fractals, chaos club, main cardioid, orbit diagram, brot set, chaos game, mathematical fractals, mirrored spheres, doubling function, iterated function systems, orbit converges, fractal images, acrylic ink, tent map, experimental mathematics, controlling chaos Key Phrases - Capitalized Phrases (CAPs): (learn more)
Inflation Law, Lead Teachers, University of California, Benoit Mandelbrot, Chaos Club, The Hotchkiss School, Grid Sheet, National Science Foundation, Teaching Excellence Grant, Newton Iteration Function, Image Without Grid, Jurassic Park, Peter Raedschelders, Robert James Miller, Scissors Glue, Sophomore Honors Seminar, Erin Pearse, Heinz-Otto Peitgen, Math Thought, Robert Fathauer New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Short is the distance between the elementary and the most sophisticated results, which brings rank beginners close to certain current concerns of the specialists. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
gasket parameters, fractal geometry courses, paper folding process, teaching fractals, wada basins, fractals course, dragon curve, escape criterion, fractal drums, natural fractals, chaos club, main cardioid, orbit diagram, brot set, chaos game, mathematical fractals, mirrored spheres, doubling function, iterated function systems, orbit converges, fractal images, acrylic ink, tent map, experimental mathematics, controlling chaos Key Phrases - Capitalized Phrases (CAPs): (learn more)
Inflation Law, Lead Teachers, University of California, Benoit Mandelbrot, Chaos Club, The Hotchkiss School, Grid Sheet, National Science Foundation, Teaching Excellence Grant, Newton Iteration Function, Image Without Grid, Jurassic Park, Peter Raedschelders, Robert James Miller, Scissors Glue, Sophomore Honors Seminar, Erin Pearse, Heinz-Otto Peitgen, Math Thought, Robert Fathauer New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 71
books:
See all 71 books this book cites
15
books
cite this book:
See all 15 books citing this book
- The Fractal Geometry of Nature by Benoit B. Mandelbrot on 4 pages
- The Nature and Power of Mathematics (Dover Books on Mathematics) by Donald M. Davis on 4 pages
- Jurassic Park by Michael Crichton on page 4, and Back Matter
- Fractals and Chaos by A.J. Crilly in Back Matter (1), and Back Matter (2)
- Linear Algebra (Electronic Companions) by David Carlson in Front Matter (1), and Front Matter (2)
See all 71 books this book cites
- Innovations in Teaching Statistics by Joan B. Garfield in Front Matter
- Innovative Approaches to Undergraduate Mathematics Courses Beyond Calculus by Richard J. Maher in Front Matter
- Mathematics in Service to the Community: Concepts and Models for Service-learning in the Mathematical Sciences (Maa Notes) by Charles R. Hadlock in Front Matter
- Heaven's Fractal Net: Retrieving Lost Visions in the Humanities by William J. Jackson in Back Matter
- Learning to Teach and Teaching to Learn Mathematics: Resources for Professional Development (Maa Notes) by Matt Delong in Front Matter
See all 15 books citing this book
Books on Related Topics
(learn more)
|
What Other Items Do Customers Buy After Viewing This Item?
Tags Customers Associate with This Product(What's this?)Click on a tag to find related items, discussions, and people.
|
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
