Learn about "polynomial interpolation"

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Introduction

The reason I'm trying to learn about "polynomial interpolation" is because of Dark Crystal, introduced by a friend.

Dark Crystal is a tool for sensitive data management.

Dark Crystal is an implementation of Shamir's Secret Sharing.

Shamir's Secret Sharing uses a type of mathematics called polynomial interpolation over finite field.

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Interpolation | Lecture 43 | Numerical Methods for Engineers

This video

• Introduce the concept of interpolation
• List the types of interpolation
• Focused on explaining the "piecewise linear interpolation"

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Field Definition (expanded) - Abstract Algebra

This video introduces the concept of field.

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Learning Cryptography, Part 1: Finite Fields

This article gives a pretty nice basic explanation of finite field.