A collection of links to learn more about John H. Conway, who passed away recently.
Category: Pure Mathematics
Drawing: Definition of Lebesgue Outer Measure
A cartoon to help learn the definition of Lebesgue Outer Measure.
Also discusses the power of visualization in memorization and Mind Maps, Mind Palace techniques in short.
Video Lecture: Examples of Metric Spaces (Lecture 2)
Here’s a video discussing a few simple examples of metric spaces.
Video Lecture: Definition of Metric Spaces (Lecture 1)
Here’s a video discussing the definition of metric spaces, and the inspiration behind it. Rarely
All About: Definition of Sets
A detailed discussion of #Definition of #Sets, including #examples, #counterexamples, #quizzes. Useful for #GRE #CSIR #JRF #NET #GATE #Mathematics Aspirants
Non-Cyclic Abelian Groups
It is well known fact that every cyclic group is abelian. But the converse is not true always. i.e. There exists groups that are abelian but not cyclic. Uncountable abelian groups The groups such as and are abelian groups. Since any infinite cyclic group is isomorphic to and hence is countable, the above mentioned groups…
Examples and Counterexamples: Real Line with Discrete Metric/Topology
Examples and Counterexamples: Real Line with Discrete Metric/Topology. Did you try the challenges at the end? Leave your thoughts in the comments below!
CSIR-NET: Analysis/Topology Quiz 3
A simple question to check if you have understood the definition of metric spaces: how well do you know this definition?
Examples and Counterexampels: Abelian Groups
Examples and Counterexamples of Abelian Groups
Example and Counterexamples: Cyclic groups
Here are some important definitions, facts and examples of cyclic groups.
