Description: Polynomials, Dynamics, and Choice by Scott Crass Estimated delivery 3-12 business days Format Hardcover Condition Brand New Description This book 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. Publisher Description 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 doesnt 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 thats dramatically different from what they saw in schoolAccessible to a general audience with limited mathematical backgroundAbundant diagrams and graphics. Author Biography Scott Crass is a professor of mathematics at California State University, Long Beach, where he created the Long Beach Project in Geometry and Symmetry. The projects centerpiece is The Geometry Studio, where students explore math in experimental and perceptual ways. Advised by Peter Doyle, his Ph.D. thesis at UCSD was Solving the Sextic by Iteration: A Complex Dynamical Approach. His research interests involve blending the algebra and geometry induced by finite group actions on complex spaces, in an effort to discover and study symmetrical structures and associated dynamical systems. A prominent feature of his work involves using maps with symmetry in order to construct elegant algorithms that home in on a polynomials roots. Details ISBN 036756520X ISBN-13 9780367565206 Title Polynomials, Dynamics, and Choice Author Scott Crass Format Hardcover Year 2022 Pages 169 Publisher Taylor & Francis Ltd GE_Item_ID:136120734; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys
Price: 185.16 USD
Location: Fairfield, Ohio
End Time: 2024-11-19T03:03:19.000Z
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Restocking Fee: No
Return shipping will be paid by: Buyer
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Refund will be given as: Money Back
ISBN-13: 9780367565206
Book Title: Polynomials, Dynamics, and Choice
Number of Pages: 208 Pages
Publication Name: Polynomials, Dynamics, and Choice : the Price We Pay for Symmetry
Language: English
Publisher: CRC Press LLC
Publication Year: 2022
Subject: Geometry / General, General, Algebra / Elementary, Recreations & Games
Type: Textbook
Item Length: 9.2 in
Author: Scott Crass
Subject Area: Mathematics
Item Width: 6.1 in
Format: Hardcover
