Joy of Mathematics
Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.
Lecture One - The Big Picture
Lecture Two - Numbers
Lecture Three - Primes
Lecture Four - Counting
Lecture Five - Fibonacci Numbers
Lecture Six - Algebra
Lecture Seven - Higher Algebra
Lecture Eight - Algebra Made Visual
There is debate over whether mathematical objects such as numbers and points exist naturally or are human creations. The mathematician Benjamin Peirce called mathematics "the science that draws necessary conclusions". Albert Einstein,
on the other hand, stated that "as far as the laws of mathematics refer
to reality, they are not certain; and as far as they are certain, they
do not refer to reality."