Maximum Mathematics@maxmathpublish

Maximum Mathematics is a publisher of math notes, starting from a foundational set of topics, to upper level undergraduate and some graduate level topics.

Joined August 2026
Hey everyone, just finished Chapter 3 notes on Set Theory! Check them out here: maximummathematics.com/books…

Sets · Maximum Mathematics

Trying to precisely define a set can be rather tricky. While there are formal definitions and axioms, here we will rely on our intuition. Even without a formal specification, we can still derive many...

maximummathematics.com
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Finished transcribing all of the notes for Chapter 2, and they are all live now! Learn more about mathematical arguments and proof here: maximummathematics.com/books…

Proof · Maximum Mathematics

In the previous chapter, we built up the tools of propositional and quantified logic: propositions, connectives, truth tables, the laws of logic, and quantifiers. Along the way, we occasionally ran...

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Finished all of Chapter 1! Check out our notes on Open Propositions: maximummathematics.com/books…

Open Propositions · Maximum Mathematics

All of the propositions we’ve dealt with so far have had definite truth values. For example, $$\text{Thomas Jefferson was the second president of the United States.}$$is a proposition that is known...

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New notes are live! Learn about switching networks and how to simplify them using the laws of logic here: maximummathematics.com/books…

Application: Switching Networks · Maximum Mathematics

While the content we’ve seen so far seems ethereal, with little application outside of simplifying logical propositions, logic dictates almost every avenue of study. In our everyday lives, we like to...

maximummathematics.com
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A new section of notes is live! Learn about the Laws of Logic, and how they can be used in your reasoning. maximummathematics.com/books…

Laws of Logic · Maximum Mathematics

At this point, we’re familiar with the fundamental unit of logic — the proposition. We’ve seen how to combine them into compound propositions, and how to use truth tables to identify propositions...

maximummathematics.com
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Maximum Mathematics is live! Learn more about mathematical logic and propositions here: maximummathematics.com/books…

Propositions · Maximum Mathematics

In Mathematics, we deal with statements like these: \[ \begin{align*} &\text{Squares have four equal sides.} \\ \\ &\text{Quadratic equations have at most two} \\ &\text{distinct roots.} \end{align*}...

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