Explore the fascinating world of quadratic forms in this 39-minute video lecture on number theory. Delve into the mathematical concepts and properties of quadratic forms, understanding their significance in number theory and related fields. Learn about the structure, classification, and applications of these important mathematical objects. Gain insights into how quadratic forms are used to solve various problems in number theory and discover their connections to other areas of mathematics. Enhance your understanding of this fundamental topic through clear explanations and illustrative examples provided by mathematics educator Michael Penn.