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Learning:
The Journey of a Lifetime
or
A Cloud Chamber on the Mind
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Friday June 6, 2008 7:20 am Lethbridge, Alberta

It is +10 C with a high forecast of +14 C. Sunrise 5:25 Sunset 21:35 Hours of daylight: 16:10.
See current forecast here. See current news here.

This page last updated on: Saturday, June 7, 2008 7:20 AM

A. Morning Musings

I had a good nights sleep and am ready to go. I did my one-hour walk yesterday - now to keep it up.

I have coffee scheduled for 3 PM at Mojo's Pub &Grill. I will walk to there. I hope to have our first barbequed salmon of the year for dinner.

Long Term Activities Planned Activities for Today Time Today Cumulative Total
Cull professional articles Review Psychology articles
5 hr
Prepare pdf files of my papers Digitize 3 professional papers
4 hr
Digitize slides Digitize slide collection
10 hr
Put away stamps    
0 hr


Learning Category Planned Activities for Today Time
Literature Begin morning with a Rumi reading
Puzzles & Games New York Times crossword puzzles
1 hr
Literature Continue reading "The Age of Shiva" by Manil Suri
1 hr

Mathematics

Make a few notes on symmetry
2 hr

B. Actual Learning Activities

10:20 am

Notes on Symmetry - 17

Dale Burnett

 


Date
Mathematics
History
500 BCE
Pythagorus  
399 BCE
Thaetetus classifies the 5 regular Platonic solids in 3 dimensions: tetrahedron, cube, octahedron, dodecahedron, icosahedron.  
1048 - 1131
Omar Khayyam finds geometric method for solving cubic equations.  
1200
Leonardo Fibonacci wtote the first original book on mathematics published in Europe. It introduced Hindu-Arabic numerals and place-value notation.  
1439
  Gutenberg invents the printing press
1452 - 1519
  Leonardo da Vinci
1492
  Columbus discovers America
early 1500s
del Ferro, Tartaglia, Cardano, Ferrari solve cubic & quartic equations  
1564 - 1642
Galileo  
1642 - 1727
Isaac Newton  
1775 - 1783
  American War of Independence
1777 - 1855
Carl Friedrich Gauss  
1789 - 1799
  French Revolution
1802 - 1829
Niels Henrik Abel proves that no formula exists for equations of degree 5.  
1832
Evariste Galois dies at age 20.  
1842 - 1899
Sophus Lie: Norwegian group theorist  
   

The goal today will be make notes for chapters 11 - 13 of Ronan's book "Symmetry and the Monster" and then continue the book.

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23                            
Symmetry                                                                          
Fearless Symmetry                                                                          
Algebra                                                                          
Abstract Algebra                                                                          
Creating Escher-type Drawings                                                                          
Handbook of Regular Patterns                                                                          
Symmetry & the Monster                                                                          
The Celtic Design Book                                                                          
A Transition to Advanced Mathematics                                                                          
Modern Abstract Algebra                                                                          
Indra's Pearls                                                                          

 

I have spent the last hour looking at math books in both amazon.com as well as on my own shelves.

At the moment I am still trying to reconcile two different notions. One is to improve my understanding and skill at using detailed, but conventional, mathematical notation related to set theory and abstract algebra (particularly fields, rings and groups). The other is to find a way of blending this format for making notes, with the special feature of a tan box that contains my personal comments and reflections, with that of handwritten activities.

I am convinced that hand writing is an essential process. Let me try the following: handwriting with two colors of ink - my Pelikan fountain pen (fine nib) and Waterman's Florida Blue ink for math and a red pen for making on the spot comments and reflections. Then I can scan these pages onto this web site.

The next step is to select the book that I want to focus on.

I have deleted two books from the above table of resources. Both books were from the University library:

  • Groups: A Path to Geometry (1985). R. P. Burn
  • Groups and Symmetry (1988). M. A. Armstrong

My choice began with 3 books, all of which looked quite good:

  • Abstract Algebra (1999). I. N. Herstein
  • A Transition to Advanced Mathematics (2006). Douglas Smith & Maurice Eggen
  • Algebra: Abstract and Concrete (2006). Frederick M. Goodman.

Further examination lead me to choose the Goodman text

(which is downloadable from http://www.math.uiowa.edu/~goodman/algebrabook.dir/algebrabook.html )

The basic reason was the quote "The most important goal of this book is to engage students in the active practice of mathematics. Students are given the opportunity to participate and investigate, starting on the first page." [p. ix]

The next step is to begin reading and then to make some handwritten notes, using blue ink for the activities and red ink for comments.

math

math

An encouraging beginning to some serious mathematics.

Tags: mathematics, symmetry

 

Books on the Go Today
Rumi
Rumi
Suri
see below

Suri

 

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