Chris Rorres Home Page
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ARCHIMEDES IN THE 21ST CENTURY
A World Conference    •    31 May – 1 June 2013
Courant Institute of Mathematical Sciences    •    New York University
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Chris Rorres Picture

CHRIS RORRES



Professor Emeritus of Mathematics
Drexel University
Philadelphia, Pennsylvania, USA
Email: crorres@cs.drexel.edu

Lecturer in Epidemiology
University of Pennsylvania
Philadelphia, Pennsylvania, USA
Email: rorres@vet.upenn.edu


Archimedes ARCHIMEDES HOME PAGE

This site is a collection of Archimedean miscellanea that I have collected over the years. The topics, under continual development, include:

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Timeline
Siege of Syracuse
Archimedes' Claw
Death of Archimedes
Tomb of Archimedes
Burning Mirrors
The Golden Crown
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Archimedes Screw
Stomachion
The Cattle Problem
Archimedean Solids
Spheres and Planetaria
The Lever
Royal Family of Syracuse
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Coins of Syracuse
Books on Archimedes
Archimedes Crater
Stamps of Archimedes
Pictures of Archimedes
On Floating Bodies
Archimedes in the 21st Century


Distinctive Voices
ARCHIMEDES AND THE QUEST FOR THE
THEORY OF EVERYTHING

A one-hour talk given in 2009 at the Beckman Center in Irving, California, as part of the Distinctive Voices program of the National Academy of Sciences of the United States. I discuss Archimedes' formative role in our quest for a Theory of Everything and where that quest remains today.

• View the talk on YouTube.
• View the talk at the Beckman Center site.


R E P R I N T  [PDF version (664 kilobytes)]

The Mathematical Intelligencer
Volume 26, Number 3, Summer 2004, pp. 32-42

COMPLETING BOOK II OF ARCHIMEDES’S
ON FLOATING BODIES

by Chris Rorres

Animations of the figures in this article can be found here.

Two overviews of this article can be found in Ivars Peterson’s online columns in Science News Online (MATHTREK: 21 August 2004) and Science News for Kids (MUSE: January 2005).

Two more overviews, by science writer Dana Mackenzie, can be found in Science magazine (“Whatever floats your paraboloid”, Volume 305, Number 5687, 20 August 2004, page 1102) and in Discover magazine (“Tilt”, Volume 26, Number 07, July 2005, pages 36-37).

Another overview as it applies to the stability of kayaks was printed in Mountain Gazette magazine (“The occupation of floating bodies” by B. Frank, Number 123, April 2006).

Remark: The animated figure illustrates the seven equilibrium positions (both stable and unstable) of a floating paraboloid whose height is 0.88 times its diameter and whose relative density is 0.51.


Animated Screw
 
R E P R I N T  [PDF version (1003 kilobytes)]

ASCE Journal of Hydraulic Engineering
Volume 126, Number 1, January 2000, pp. 72-80

THE TURN OF THE SCREW:
OPTIMAL DESIGN OF AN ARCHIMEDES SCREW

by Chris Rorres

An overview of this article can be found in Ivars Peterson's online column Math Trek of January 22, 2000.
Corinth

R E P R I N T  [WWW version  |  PDF version (586 kilobytes)]

SIAM Review
Volume 39, Number 4, December 1997, pp. 745-754

FINDING THE CENTER OF A
CIRCULAR STARTING LINE IN AN
ANCIENT GREEK STADIUM

by Chris Rorres and David Gilman Romano
 

An overview of this article can be found in Ivars Peterson's online column Math Trek of January 5, 1998.

(Photo from the cover of Athletics and Mathematics in Archaic Corinth: The Origins of the Greek Stadion, by David Gilman Romano. Memoirs of the American Philosophical Society, Volume 206, American Philosophical Society, Philadelphia, 1993.)


Cover of Text ELEMENTARY
LINEAR ALGEBRA

by Howard Anton and Chris Rorres
John Wiley & Sons, Inc.
10th Edition, 2010

xvi+773 pages
ISBN: 978-0-470-43205-1

A P P L I C A T I O N S   V E R S I O N        
Chaos
Fractals
Genetics
Cryptography
Graph Theory
Markov Chains
Games of Strategy
Warps and Morphs
Computer Graphics
Forest Management
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Electrical Networks
Linear Programming
Computed Tomography
Cubic Spline Interpolation
Leontief Economic Models
Age-Specific  Population Growth
Harvesting of Animal Populations
Equilibrium Temperature Distributions
Least Squares Model for Human Hearing
The Earliest Applications of Linear Algebra


First Photo

Panayiotitsa Rorres
1937

QUICKTIME MORPH MOVIE

You can download a QuickTime movie of a morph constructed from five photographs of a woman taken over a 72-year period, from age 22 to age 94.

Specifications:

    1.7 megabytes
    39 seconds
    240 x 320 pixels

This morph, together with the theory of morphing, appears in the above textbook (Elementary Linear Algebra, Applications Version by Anton & Rorres).

Last photo

Panayiotitsa Rorres
2009


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