Fractal Worlds. Grown, Built, and Imagined / michael Frame ; Amelia Urry.

By:

Frame, Michael

Contributor(s):

Urry, Amelia

Material type: Text

TextPublisher: New Haven : Yale University Press, 2016Description: 1 online resource (512 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9780300220704
0300220707

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Print version:: Fractal Worlds. Grown, Built, and Imagined.DDC classification:

510 22

LOC classification:

Online resources:

Click here to access online

Contents:

What is the shape of the world around us? -- Self-similarity in geometry -- Self-similarity in the wild -- Manufactured fractals -- The Mandelbrot set : infinite complexity from a simple formula -- Quantifying fractals : what is fractal dimension? -- Further developments -- Valediction -- A.A look under the hood : some technical notes -- B. Solutions to the problems.

Summary: Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame-a close collaborator with Benoit Mandelbrot, the founder of fractal geometry-and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.

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Holdings
Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame-a close collaborator with Benoit Mandelbrot, the founder of fractal geometry-and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.