﻿ PromiseAngels: Gilbert Helmberg - Getting Acquainted With Fractals - [Item: 237525 - ISBN: 3110190923] - Promise Angels Bookstore
Newsletter   Secure Checkout   Shopping Cart (0 Items)
 Search: Welcome Guest! Save up to 30-40% on most items with our awesome everyday discounts!

# Getting Acquainted With Fractals [Hardcover]

 Our Price \$ 68.60 Retail Value \$ 98.00 You Save \$ 29.40  (30%) Item Number 237525
Quantity:

Currently Out Of Stock
 Currently unavailable...

## Item description for Getting Acquainted With Fractals by Gilbert Helmberg...

The first instance of pre-computer fractals was noted by the French mathematician Gaston Julia. He wondered what a complex polynomial function would look like, such as the ones named after him (in the form of z2 + c, where c is a complex constant with real and imaginary parts). The idea behind this formula is that one takes the x and y coordinates of a point z, and plug them into z in the form of x + i*y, where i is the square root of -1, square this number, and then add c, a constant. Then plug the resulting pair of real and imaginary numbers back into z, run the operation again, and keep doing that until the result is greater than some number. The number of times you have to run the equations to get out of an 'orbit' not specified here can be assigned a colour and then the pixel (x,y) gets turned that colour, unless those coordinates can't get out of their orbit, in which case they are made black. Later it was Benoit Mandelbrot who used computers to produce fractals. A basic property of fractals is that they contain a large degree of self similarity, i.e., they usually contain little copies within the original, and these copies also have infinite detail. That means the more you zoom in on a fractal, the more detail you get, and this keeps going on forever and ever. The well-written book 'Getting acquainted with fractals' by Gilbert Helmberg provides a mathematically oriented introduction to fractals, with a focus upon three types of fractals: fractals of curves, attractors for iterative function systems in the plane, and Julia sets. The presentation is on an undergraduate level, with an ample presentation of the corresponding mathematical background, e.g., linear algebra, calculus, algebra, geometry, topology, measure theory and complex analysis. The book contains over 100 color illustrations.

Promise Angels is dedicated to bringing you great books at great prices. Whether you read for entertainment, to learn, or for literacy - you will find what you want at promiseangels.com!

## Item Specifications...

 Pages   177 Est. Packaging Dimensions:   Length: 9.6" Width: 6.9" Height: 0.6" Weight:   0.9 lbs. Binding  Hardcover Release Date   Mar 1, 2007 Publisher   Walter de Gruyter ISBN  3110190923  ISBN13  9783110190922

Availability  0 units.

 Are You The Artisan or Author behind this product? Improve our customers experience by registering for an Artisan Biography Center Homepage.

## Product Categories

 1 Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry 2 Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry 3 Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Functional Analysis 4 Books > Subjects > Science > General 5 Books > Subjects > Science > Mathematics > General 6 Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry 7 Books > Subjects > Science > Mathematics > Pure Mathematics > Fractals 8 Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis

## Reviews - What do customers think about Getting Acquainted With Fractals?

Be the first to write a review about Getting Acquainted With Fractals

## Ask A Question or Provide Feedback regarding Getting Acquainted With Fractals

Item Feedback and Product Questions
For immediate assistance call 888.395.0572 during the hours of 10am thru 8pm EST Monday thru Friday and a customer care representative will be happy to help you!

Help us continuously improve our service by reporting your feedback or questions below:

I have a question regarding this product
The information above is incorrect or conflicting
The page has misspellings or incorrect grammar
The page did not load correctly in my browser or created an error.

Anti Spam Question. To combat spammers we require that you answer a simple question.
What color is the sky?
Leave This Blank :
Do Not Change This Text :