Fractals for the Classroom

Fractals for the Classroom

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  • Author: Heinz-Otto Peitgen
  • Publisher: Springer Science & Business Media
  • ISBN: 1475721722
  • Category : Mathematics
  • Languages : en
  • Pages : 468

Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.


Fractals for the Classroom

Fractals for the Classroom

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  • Author: Heinz-Otto Peitgen
  • Publisher:
  • ISBN:
  • Category : Chaotic behavior in systems
  • Languages : en
  • Pages : 150


Fractals for the Classroom

Fractals for the Classroom

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  • Author: Heinz-Otto Peitgen
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387977225
  • Category : Mathematics
  • Languages : en
  • Pages : 528

Published in cooperation with the National Council of Teachers of Mathematics


Fractals, Graphics, and Mathematics Education

Fractals, Graphics, and Mathematics Education

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  • Author: Michael Frame
  • Publisher: Cambridge University Press
  • ISBN: 9780883851692
  • Category : Computers
  • Languages : en
  • Pages : 232

Publisher Description


Fractals in Engineering

Fractals in Engineering

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  • Author: Jacques Lévy-Véhel
  • Publisher: Springer Science & Business Media
  • ISBN: 1846280486
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 288

The application of fractals in the engineering sciences is evolving swiftly and the editors have turned to Springer for the third time to bring you the latest research emerging from the rapid growth in techniques available for the employment of the ideas of fractals and complexity to a variety of disciplines in and associated with the engineering field. The strong potential of this research can be seen in real industrial situations with recent progress being made in areas such as chemical engineering, internet traffic, physics and finance. Image processing continues to be a major field of application for fractal analysis and is well-represented here. It is important to note that the applications models are presented with a firm basis in theoretical argument, the qualitative observation of fractal phenomena no longer being sufficient. Consisting of papers written by a world-wide pool of experts, the multidisciplinary approach of this third volume will be of particular interest to industrial researchers and practitioners as well as to academics from many backgrounds. Fractals in Engineering: New Trends in Theory and Applications continues the publication of engineering-related research in fractal techniques begun in Fractals in Engineering and Fractals: Theory and Applications in Engineering (Springer London 1997 and 1999).


Fractal Geometry, Complex Dimensions and Zeta Functions

Fractal Geometry, Complex Dimensions and Zeta Functions

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  • Author: Michel L. Lapidus
  • Publisher: Springer Science & Business Media
  • ISBN: 1461421764
  • Category : Mathematics
  • Languages : en
  • Pages : 583

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.


Measure, Topology, and Fractal Geometry

Measure, Topology, and Fractal Geometry

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  • Author: Gerald A. Edgar
  • Publisher: Springer Science & Business Media
  • ISBN: 1475741340
  • Category : Mathematics
  • Languages : en
  • Pages : 252

From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1


Viewpoints

Viewpoints

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  • Author: Marc Frantz
  • Publisher: Princeton University Press
  • ISBN: 140083905X
  • Category : Mathematics
  • Languages : en
  • Pages : 259

An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)


The Dragon Curve

The Dragon Curve

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  • Author: Alicia Burdess
  • Publisher:
  • ISBN: 9781039110236
  • Category :
  • Languages : en
  • Pages : 56

Aiyana finds a long, skinny strip of paper on the ground that looks like a road. As she follows the road, she folds the paper in half, and it becomes a mountain for her to climb. With every fold, she makes a new shape, one that fuels her curiosity in wonderful ways and takes her on a magical journey into the world of fractals. This is a beautiful story about the power of imagination, mathematics, and the world around us. It is a chance for readers of all ages to catch a glimpse of the beauty of math and inspire the joy of their own inner mathematician. Fold along with Aiyana and see the magic unfold!


Explorations in Complex Analysis

Explorations in Complex Analysis

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  • Author: Michael A. Brilleslyper
  • Publisher: American Mathematical Soc.
  • ISBN: 1614441081
  • Category : Mathematics
  • Languages : en
  • Pages : 393

Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.