Polynomials, Dynamics, and Choice: The Price We Pay for Symmetry

Working out solutions to polynomial equations is a mathematical problem that dates from antiquity. Galois developed a...
$226.30 AUD
$226.30 AUD
SKU: 9780367564933
Product Type: Books
Please hurry! Only 762 left in stock
Author: Scott Crass
Format: Paperback
Language: English
Subtotal: $226.30
10 customers are viewing this product
Polynomials, Dynamics, and Choice: The Price We Pay for Symmetry by Crass, Scott

Polynomials, Dynamics, and Choice: The Price We Pay for Symmetry

$226.30

Polynomials, Dynamics, and Choice: The Price We Pay for Symmetry

$226.30
Author: Scott Crass
Format: Paperback
Language: English

Working out solutions to polynomial equations is a mathematical problem that dates from antiquity. Galois developed a theory in which the obstacle to solving a polynomial equation is an associated collection of symmetries. Obtaining a root requires breaking that symmetry. When the degree of an equation is at least five, Galois Theory established that there is no formula for the solutions like those found in lower degree cases. However, this negative result doesn't mean that the practice of equation-solving ends. In a recent breakthrough, Doyle and McMullen devised a solution to the fifth-degree equation that uses geometry, algebra, and dynamics to exploit icosahedral symmetry.

Polynomials, Dynamics, and Choice: The Price We Pay for Symmetry is organized in two parts, the first of which develops an account of polynomial symmetry that relies on considerations of algebra and geometry. The second explores beyond polynomials to spaces consisting of choices ranging from mundane decisions to evolutionary algorithms that search for optimal outcomes. The two algorithms in Part I provide frameworks that capture structural issues that can arise in deliberative settings. While decision-making has been approached in mathematical terms, the novelty here is in the use of equation-solving algorithms to illuminate such problems.

Features

  • Treats the topic--familiar to many--of solving polynomial equations in a way that's dramatically different from what they saw in school
  • Accessible to a general audience with limited mathematical background
  • Abundant diagrams and graphics.


Author: Scott Crass
Publisher: CRC Press
Published: 08/23/2022
Pages: 169
Binding Type: Paperback
Weight: 0.60lbs
Size: 9.21h x 6.14w x 0.40d
ISBN: 9780367564933

This title is not returnable

Returns Policy

You may return most new, unopened items within 30 days of delivery for a full refund. We'll also pay the return shipping costs if the return is a result of our error (you received an incorrect or defective item, etc.).

You should expect to receive your refund within four weeks of giving your package to the return shipper, however, in many cases you will receive a refund more quickly. This time period includes the transit time for us to receive your return from the shipper (5 to 10 business days), the time it takes us to process your return once we receive it (3 to 5 business days), and the time it takes your bank to process our refund request (5 to 10 business days).

If you need to return an item, simply login to your account, view the order using the "Complete Orders" link under the My Account menu and click the Return Item(s) button. We'll notify you via e-mail of your refund once we've received and processed the returned item.

Shipping

We can ship to virtually any address in the world. Note that there are restrictions on some products, and some products cannot be shipped to international destinations.

When you place an order, we will estimate shipping and delivery dates for you based on the availability of your items and the shipping options you choose. Depending on the shipping provider you choose, shipping date estimates may appear on the shipping quotes page.

Please also note that the shipping rates for many items we sell are weight-based. The weight of any such item can be found on its detail page. To reflect the policies of the shipping companies we use, all weights will be rounded up to the next full pound.

Related Products

Recently Viewed Products