This installment completes volume 2, and defines real numbers.
Tag Archives: education
Math From Scratch 31: Limits
In this installment, we introduce limits and use them to lead to the notion of complete sets. This is the last piece we need to define real numbers next month.
Math From Scratch 30: Implications of an Impossible Number
This month we look at the implications of an impossible number constructed to examine the value of infinite processes. We look at limits next month and formally define the real numbers in June with the end of Math From Scratch: Volume 2. After that, Math From Scratch will return in September.
Math From Scratch 29: Decimal Representation
This month we closely examine the decimal representation of numbers here.
Math From Scratch 28: Rational Exponents
Our latest lesson covers exponents composed of rational numbers.
Math From Scratch 27 – Infinite Sequences and Series
In the second part of our look at sequences and series, we pay particular attention to the infinite variety.
Math From Scratch 26 – Sequences and Series
In part one of our two part examination of sequences and series, we look specifically at the finite variety.
Math From Scratch 25: Infinite Processes
We have reached the point where we can properly introduce infinite processes, and show that the set of rational numbers cannot include all of the numbers we’ll need. You can read this lesson here.
Math From Scratch 24: Defining the Rational Numbers
Now that the field axioms have been established, we can formally define the rational numbers. Most elementary school students refer to them as “fractions.” You can read this lesson here.
Math From Scratch 23: The Field Axioms
The second volume of Math From Scratch is here, with the intent to reach the definition of the real numbers. We will cover some Euclidean geometry along the way. This lesson covers the axioms of an algebraic field.