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Learning:
The Journey of a Lifetime
or
A Cloud Chamber on the Mind
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Thursday June 12, 2008 6:30 am Lethbridge, Alberta

It is +7 C with a high forecast of +17 C. Sunrise 5:23 Sunset 21:39 Hours of daylight: 16:16.
See current forecast here. See current news here.

This page last updated on: Friday, June 13, 2008 9:55 PM

A. Morning Musings

The return to seasonable temperatures is slowly beginning but it now looks that showers may be with us for a few more days. We had 33 mm yesterday which is over an inch. Usually we just have a dry rain, but there were times yesterday when it was wet. But the sky remained dark all day and it led to a generally dull day. I did do some reading but didn't feel like tackling anything substantive.

Today may be somewhat similar.

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 "If Nobody Speaks of Remarkable Things" by Jon McGregor
1 hr

Mathematics

Make a few notes on linear algebra (Hefferon Ch I, section 1)
1 hr
History Continue reading "Ahtahkakoop" by Deanna Christensen
1 hr

B. Actual Learning Activities

10:20 am

Notes on Linear Algebra - 21

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  
   

 

  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                                                                          
Linear Algebra                                                                          

9:30 am

Fascinating. I had a close look at Appendix E in Goodman and found that I was having difficulty genuinely understanding all of the material.

So back to my algorithm of seeing what I could find on the Web using Google. I typed in "linear algebra" and quickly found a web site that provided another complete on-line textbook.

http://joshua.smcvt.edu/linearalgebra/

I have had a look at this (Linear Algebra 2006 Jim Hefferon) and I like it. It even gives two suggested timetables for self-study. If one were to follow either of these, it would take 14 weeks to complete. But I think it will be worth it. I missed a course on linear algebra when I was an undergraduate and could definitely use a basic introduction to the topic.

Hefferon also comments in his Preface that "Since each instructor usually assigns about a dozen exercises after each lecture ...", I will try to honor this while working through the materials.

This is a good example of "one step forward, two steps back", but I believe in the principle of a firm foundation so this is a necessary activity.

I have read Chapter One: Linear Systems, section I - Solving Linear Systems, sub-section 1 - Gauss's Method.

This presented no conceptual difficulties as it is essentially a repeat of what I was doing in my last session when I was solving simultaneous equations using the Gauss-Jordan algorithm.

Now to work through a dozen problems.

 

 

Tags: mathematics, symmetry

5:00 PM

 

Books on the Go Today
Rumi
Rumi
McGregor
McGregor

 

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