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Math at Reynolds

Free Online Resouces

Higher Math

Logic:
Propositional Logic
Propositional Logic and Proofs
About Proofs

Methods of Proof:
Direct Proof 1
Direct Proof 2
Equivalence Relations and Partitions
Integer Division, Modular Arithmetics, Congruences
Contrapositive and Contradiction Proofs
Existence and Uniqueness, plus all other proofs review

Set Theory and Cardinality:
Cardinality, Countable and Uncountable sets
Zermelo-Fraenkel axioms for Set Theory (intro)
Axiomatic Method
Euclidian geometry as Axiomatic System
Peano’s Axioms
Ultrafinitism

Abstract Algebra:
Introduction to Abstract Algebra 

     Groups:
       Abstract Algebra
      Groups

     Rings:
      What is a Ring?

 


 

Online Textbooks: from Pre-Calculus to Number Theory

College Algebra by Carl Stitz and Jeff Zeager

Apex Calculus by Gregory Hartman

Single Variable Calculus by David Guichard

Applied Discrete Structures by Al Doerr and Ken Levasseur

Elementary Differential Equations by William F. Trench

Linear Algebra by Jim Hefferon

Mathematical Reasoning “Book of Proof” by Richard Hammack

Abstract Algebra Theory and Applications by Thomas Judson

Real Analysis by Brian Thomson and Andrew Bruckner

Elementary Number Theory by Wissam Raji