Author Topic: The Math Modules  (Read 2513 times)

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Re: The Math Modules
« on: February 09, 2021, 01:50:12 pm »


Solutions to Exercises to Modern Introductory Analysis
 ch 4: The Algebra of Vectors (4.6-4.8 ... )
 ch 5: Plane Analytic Geometry of Points and Lines (5.1-5.9)



Exercises 38,39, 40 of 5-9 will continue in Scratchpad #6 of this series.
I will be skipping modules 4 and 5 as they contain notes and exercises from the 1987 edition which included computer programming exercises I wished to explore and rejuvenate with Modern C++ and Python, rather than with its Pascal and BASIC.  So far, for now, my plan is to hold off on scanning Math Modules for the Introductory Analysis circa 1987 edition; that is 4 [1, 2], 5 [2.2-2.8], 7 [up to and including 3-7 Infinite Series], the "deep extension to module 7 DIRECTLY LINKED TO Limits Revisted  (Complete Solutions to Exercises, Buchanan 1966 Limits: A Transition to Calculus), Limits Revisted 2 with APPENDIX in back (A Discussion of the Real Number System), 8 [Functions and Limits = 3.8 The Axiom of Completeness, 3.9 Integral and Rational Exponents], 9 [ch 5 Theory of Polynomial Equations] ... etc !

I will scan modules 6 and 10 (which continue Solutions to Exercises for oriignal 1964 edition of Modern Introductory Analysis, God willin' and the crick don't rise.  Eventually I would wish to scan the work from the other edition as well, since those contain documentation of computer programming symbiotic "events" --- what Schopenhauer might politely refer to as "being possessed by the Holy Ghost" - ? - ! -

I will forge ahead into module 16 as far as "scratching the paper" goes.   >:( ;D



Since this has been such a long-standing project, I have been forced to reinvent similar modus operandi as Robert M. Pirsig.  During these periods when my Mom seems to drain my energies (see Einstein's demands of wife), I find that scanning the original trail of notebooks belonging to this series would be a great way to expend thwarted energies, not to mention coping with lack of gumption due to reawakened interests in Listening to Music While Walking and Sitting, Smoking and Shitting [just kidding].

I am just now catching up with some December and January notes which might help explain to myself just why I stopped where I did in the exercises and began scanning the pages themselves.  This is how I am dealing with a particular way of presenting particular types of exercises, where students are walked through the construction of a formal proof.   I wish to be most focused for this, without an elderly woman pestering me about her next meal or her latest hyperphobic meltdown.  One morning I will awaken and know the time is right for that kind of work.  For now, I am in some kind of transition or simple regrouping.  No code-mode, no math-mode.   As I scan the pages, I too often get lost in the content.  The notation would require some effort to become familiar with, so there is this timeless "Lovecraftian" glow of eldrich intelligence at work - in this case, a group of dedicated "mathematicians" presenting modern mathematics to high school students wishing to understand the structure underneath the symbols and applications.

This culture of well-being has given full reign to the mediocre pygmies.  Excellence of any kind will surely suffocate.

There is only so much time for Being to Be in.  When I give my attention to something, I wish to have that Full Power of Concentration and Focus.  Maybe I have paused to scan simply to allow myself to process the significance of these exercises.  I may have to refresh my memory by looking over the previous module (15) before proceeding with the "scratching of the paper" - but I do intend to scan pages from old notebooks just as a way of validating the efforts (to myself).  If not me, who?   Future teachers/students might benefit.  Most importantly, it might give me some dignity and the Fortress of Mental Solitude required.

I don't understand why I feel compelled to send musical vibrations into the atmosphere.   Part of me has always been like this. 
« Last Edit: February 09, 2021, 05:30:00 pm by Sticks and Stones »
Things They Will Never Tell YouArthur Schopenhauer has been the most radical and defiant of all troublemakers.

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