
Lecture Description
This lecture discusses the formation of valid arguments and then introduces a number of common proof techniques.
www.polymathlectures.org/
Here's the link in the video: www.math.hmc.edu/~su/math131/good-math-writing.pdf
Course Index
- Problem Solving 101
- Introduction to Proofs
- Propositional Logic
- Proof Techniques
- Set Theory
- Predicate Logic
- More Proof Techniques
- Relations
- Functions
- Number Theory
- Modular Arithmetic
- Infinity
- Construction of the Real Numbers
- Topology
- Sequences and Functions
- Group Theory
- Rings and Fields
- Morphisms
- Epilogue & Fields of Mathematics
Course Description
This is a friendly introduction to important concepts in higher mathematics, including analysis, set theory, proofs, group theory, rings, and graph theory.
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