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资源说明：Linear Algebra, Group Theory | Mathematics Project @ IISER, summer 2012 [Latex documents, PDFs, Corel Draw files]
INTRODUCTION
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This repository contains all Latex documents and associated files for partial completion of my summer project in Linear Algebra, Group Theory, Mathematics @ IISER Mohali, under Prof. Kapil Hari Pranjape.
Worked on the project from May 28, 2012 to July 28, 2012
DOWNLOAD
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* Chapter 7
* https://github.com/toatularora/Math_latex_summer_2012/blob/master/Combined/Chapter7.pdf?raw=true
* Chapter 6
* https://github.com/toatularora/Math_latex_summer_2012/blob/master/Combined/Chapter_6_Finite_Subgroups_of_The_Rotation_Group.pdf?raw=true
* https://github.com/toatularora/Math_latex_summer_2012/blob/master/Combined/Chapter_6_continued_Finite_Subgroups_of_The_Rotation_Group.pdf?raw=true
* https://github.com/toatularora/Math_latex_summer_2012/blob/master/Combined/Symmetry_Question.pdf?raw=true
The corresponding LaTeX files are located in the same folder.
NOTE: You may need the "Chapter_6_images" folder for typesetting the Chapter 6 document(s).
UPDATE:
A single document report will also be available soon.
GET LATEX (WINDOWS)
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http://knowledgepayback.blogspot.in/2012/07/latex-on-windows-with-sublime-text.html
TIME LINE
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TODO: Add the events from May 28 - July 25, 2012
June 26-30, 2012 (Tuesday, the day I returned till Saturday)
{done on paper}
* Revised chapter 5 from the book Knots
* Completed reading chapter 6, 7 and 8.
* Sent a very brief report
* Initiated & completed the following Symmetry problems
* 3.6 (a,b)
* 4.1
* 4.2 (a)
* 4.2 (b) –
* 4.2 (c)
* 4.3 (a), (b), (c)
* 5.1
* 5.5
* 5.6 --
* 5.7 --
* 5.8 (a)
* 5.9
* 5.11 (a) –
* 5.11 (b)
* 5.11 (c)
* Worked on understanding the precise difference between a vector and a point.
* Proved independently Vivek’s theorem about the number of elements necessary and sufficient to generate a symmetric group of order n.
* Attempted classification of wallpaper patterns and their symmetry
* Getting Certification for KVPY
July 2-7, 2012 (Monday to Friday, Saturday omitted)
{mostly on paper, and reading}
* Redid section 6.8, operation on coset, to gain further familiarity
* Met with Prof. Paranjape to discuss the project.
* Attempted Problem 7.3 (non-transitive action of S3 on a set of 3 elements)
* Initiated chapter 7 and completed till section 7.3
July 8-13, 2012 (Sunday to Friday, Saturday omitted)
{reading and documenting in LaTeX}
* Studied Chapter 7 till section 7.9 (still left to complete)
July 16-22, 2012 (Monday to Sunday)
{reading | working on a parallel project}
* Studied about the History of the delta sigma definition of limits and development of rigorous calculus.
* Studied about the development of Quaternions by Hamilton and inspiration because this seemed very unnatural to me at the first glance.
July 23-27, 2012 (Monday to Friday)
* Read & Typesetted till section 7.10
* Read section 7.11
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