On the Youtube, there is a set of nineteen videos posted by Bill Shilito. The topics ranges from Proof techniques, Propositional Calculus, Set Theory, Predicate Calculus, Relations/Functions, Elementary Number Theory, Modular Arithmetic, Infinity/reals, Groups/Ring/Field etc.
A team of four comprising me (Peter, Sarath and Vysakh are the other members) have decided to study those videos thoroughly. We are planning to use some kind of "Brute Force" approach to study it. The estimate is that one needs to see the videos at least five times and work with his Proofs/Techniques to gain competence in the subject matter.
After I have started watching the videos, I am able to read even Graduate (Masters in Indian parlance) level texts in Pure Mathematics. Usually, I can understand most of the undergraduate texts,if the topics are from Mutli-Variable Calculus, Linear Algebra , Probability/Statistics. To understand Graduate Level mathematics, your foundation should be strong in lot of Abstract topics. This is what Bill Shillito is providing you.
The Videos can be retrieved from
https://www.youtube.com/watch?v=CMWFmjlB8v0&list=PLZzHxk_TPOStgPtqRZ6KzmkUQBQ8TSWVX
Since Learning Mathematics is difficult in a Serial manner, I have devised a "attack plan" for our team. The videos can be divided into Five Sections
Logic/Set Theory/Proof - First Seven Videos
Relations/Functions - Eighth and Ninth one
Number Theory/Modular Arithmetic - Tenth and Eleventh
Reals/Infinity/Topology/Sequences - Twelve through Fifteen
Groups/Rings/Fields - Sixteen,Seventeen, Eighteen
You can see videos concurrently, without the lose of continuity, especially, if you are Math enthusiast.
A team of four comprising me (Peter, Sarath and Vysakh are the other members) have decided to study those videos thoroughly. We are planning to use some kind of "Brute Force" approach to study it. The estimate is that one needs to see the videos at least five times and work with his Proofs/Techniques to gain competence in the subject matter.
After I have started watching the videos, I am able to read even Graduate (Masters in Indian parlance) level texts in Pure Mathematics. Usually, I can understand most of the undergraduate texts,if the topics are from Mutli-Variable Calculus, Linear Algebra , Probability/Statistics. To understand Graduate Level mathematics, your foundation should be strong in lot of Abstract topics. This is what Bill Shillito is providing you.
The Videos can be retrieved from
https://www.youtube.com/watch?v=CMWFmjlB8v0&list=PLZzHxk_TPOStgPtqRZ6KzmkUQBQ8TSWVX
Since Learning Mathematics is difficult in a Serial manner, I have devised a "attack plan" for our team. The videos can be divided into Five Sections
Logic/Set Theory/Proof - First Seven Videos
Relations/Functions - Eighth and Ninth one
Number Theory/Modular Arithmetic - Tenth and Eleventh
Reals/Infinity/Topology/Sequences - Twelve through Fifteen
Groups/Rings/Fields - Sixteen,Seventeen, Eighteen
You can see videos concurrently, without the lose of continuity, especially, if you are Math enthusiast.
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