Author Topic: The Math Modules  (Read 2514 times)

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Re: The Math Modules
« on: October 26, 2020, 09:28:40 pm »
Analysis Scratchpad 1

Solutions to exercises chapters 1 and 2 of Modern Introductory Analysis
(1: Statements and Sets, 2: Ordered Fields)
(see first post in this thread for text and FMP1 (extra notes on material))


It may take awhile to load, but then it can be downloaded.  I would not suggest reading these with a smartphone or e-reader.  To do yourself justice, it is best read from notebook or desktop computer.   I think the human interface is important.  Of course, with a phone, if you have access to a printer, you might print out specific sets of exercises and work in a manner suited to your personal preferences and circumstances.

I have only been able to scan the first scratchpad for the introductory analysis series (solutions to exercises).  I am beginning with the original Modern Introductory Analysis (1964) text, but further along, I begin to alternate between chapters, eventually covering all of both the original as well as the 1988 edition, called simply "Introductory Analysis."

Also note that I have about 50 other notebooks filled with solutions from texts covering Geometry, Algebra, and Trigonometry, but I thought it best to start with these, the final texts in the curriculum.    Then, if someone works a little through the "Modern" Introductory Analysis and feels they need more detail into preliminary material, they can go through those texts/exercises/notes first.   They will just have to be patient and wait for the earliest, as I will most likely upload in reverse order, with most challenging material first; that is (1) Analysis, (2) Algebra 2 & Trigonometry ["precalculus"] & Limits, (3) Geometry, (4) "Algebra 1".  These other notebooks began as what I called "Disciple of the Weird".

It is intended to present these "high school" topics in such a way as to bridge the gap into advanced mathematics.  I fully understand that this material is not "popular."  If this entire project is pointless, this shall not discourage me, since it can be no more pointless than life itself, or the schemes projecting what kinds of "jobs" will be available for future sapiens of the industrial or post-industrial world (after some cataclysmic collapse).

This is something I would like to leave for some set-theoretical weirdos of the future.

I am not sure how much will get uploaded, but it is something I do hope to be able to keep pecking away at on a daily basis for future students not yet born.  Consider it my own little Vastarien tome, a kind of over-reaching, a forbidden book (encyclopedic reference/series) - in the sense of being something ALIEN to the 21st century education entrepreneurs' whole "Common Core gold rush".

There may be absolutely no interest in it whatsoever, and this is just so wonderfully depressing to me; but the depressing feeling is balanced out by absurdity.  I want to leave something behind that may inspire some kind of very small cult following.  That is, a formal presentation of the structure and method of modern mathematics - in a series of hand-written modules - may possess the potential to not only elucidate the structure and methods therein, but to also serve as an example of how one might go about getting through a life not worth living.   ;)

I do not want my commitment or devotion to getting these notebooks scanned and uploaded to The Wayback Machine (archive DOT org) to alienate any of our registered members even though I am not in the least bit anxious over the possibility of further alienating myself from the diaper-sniffing masses.    Maybe none of those babies being hatched will ever have any use for these modules.  No matter.  I am the servant of my Muse, and I toil where She commands.
« Last Edit: November 01, 2020, 01:41:40 am by Sticks and Stones »
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