Just letting you know that I’m still alive. Been busy the past few months.

I know this is a bit late, but happy new year to all.

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Just letting you know that I’m still alive. Been busy the past few months.

I know this is a bit late, but happy new year to all.

I have decided to include undergraduate proofs in this blog. We will be studying formal proofs starting with logic (truth tables, logical connectives, etc.) and then study different methods of proofs (direct, indirect, etc).

While studying these concepts, we will have numerous examples from different branches of mathematics particularly number theory, probability, and combinatorics.

I’m very excited to start this series, so just keep posted.

It’s July! Since it is half a year already, let us look back about what proofs we have learned so far.

For the past year, we have learned the proofs of 7 mathematical theorems, 3 in Geometry and 4 in Algebra. There are also three worked out proofs in triangle congruence. Congruence theorems like SAS, SSS, and ASA are used in these proofs.

**Year in Review – 1st Semester**

- Absolute Value Proofs: Products and Quotients
- Proof of the Converse of the Pythagorean Theorem
- Proof that The Diagonals of a Rhombus are Perpendicular
- A Proof of The Trapezoid Angle Theorem
- The Proof of the Kite Symmetry Theorem
- Sample Proof on Triangle Congruence Part 1
- Sample Proof on Triangle Congruence Part 2
- Sample Proof on Triangle Congruence Part 3
- Slope of Perpendicular Lines Theorem
- The Sum and Product of Roots Theorem

To receive notifications for new posts, you can subscribe to Proofs from the Book by clicking the Subscribe link in the right side bar. We will be discussing more proofs in the second semester. Stay tuned.