Two key features of algebra as we understand the word today are: 1. Reasoning about numbers by recognizing patterns across numbers; 2. Solving a problem by introducing a term for an unknown and then, starting with what is known, reasoning to determine its value. We first see the emergence of both features of algebra in the mathematics of ancient Babylonia, around 2,000 BCE. Several hundred of the many thousands of Babylonian’s cuneiform-inscribed clay tablets that have been found are devoted to mathematics.
https://profkeithdevlin.org/2011/12/13/when-did-algebra-begin/
Both sides of the multiplication definitions were needed by Ahmes, and Egyptian scribes, as scribes as late as Fibonacci in 1202 AD used to record the Liber Abaci, Latin speaking/writing Europe’s arithmetic, algebra, geometry and weights and measures instruction book for 250 years.
https://profkeithdevlin.org/2011/12/13/when-did-algebra-begin/
In the early 17th century, there were two important developments in geometry. The first and most important was the creation of analytic geometry, or geometry with coordinates and equations, by René Descartes (1596–1650) and Pierre de Fermat (1601–1665).
https://en.wikipedia.org/wiki/History_of_geometry
The earliest recorded beginnings of geometry can be traced to early peoples, who discovered obtuse triangles in the ancient Indus Valley (see Harappan Mathematics), and ancient Babylonia (see Babylonian mathematics) from around 3000 BC.
https://en.wikipedia.org/wiki/History_of_geometry
The first definitive work (or at least oldest existent) on geometry in China was the Mo Jing, the Mohist canon of the early philosopher Mozi (470-390 BC). It was compiled years after his death by his followers around the year 330 BC.
https://en.wikipedia.org/wiki/History_of_geometry
Geometry (from the Ancient Greek: γεωμετρία; geo- earth, -metron measurement) arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers (arithmetic). Classic geometry was focused in compass and straightedge constructions. Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in use today.
https://en.wikipedia.org/wiki/History_of_geometry
Newton invented calculus to derive time and motion. Today we have new forms of. physics to explore the very small things in our universe. Math is really in constant evolution. EGYPT! aloooooooooooooooooooooooooooooong time ago <br /> Cognitive ability and the ten digits of mans hands. Base ten derived from this <br /> physical attribute. Math evolved with mans understanding of the world.
http://www.answers.com/Q/Where_did_math_start
If you believe that theorems are objectively true before they have been proved, but that mathematics is a creation of human beings in much the same way as music, law and chess are, then you are not a Platonist. I do not want to discuss this aspect of Platonism, about which much has been written,[1,3].
http://www.sciencechatforum.com/viewtopic.php?f=19&t=11940&start=30
There is an old saying that the bones (i.e., dice) have no memory and so it is here. Hypothetically, you could flip the coin 1000 times and get 1000 heads. It is, in fact, unlikely that you will get 500 of each but certainly possible. If you keep track of the actual record of tries, every conceivable order of heads or tails is equally possible (assuming the coin and tosses are done fairly).
http://www.sciencechatforum.com/viewtopic.php?f=19&t=11940&start=30
Your could also perhaps more easily just calculate all the potential orders of coin tosses and calculate the number of ways it could be 500-500, 499-501, 501-499, etc. There is no real law at work here other than what you will derive in this way.
http://www.sciencechatforum.com/viewtopic.php?f=19&t=11940&start=30
when did geometry start
Geometry started around 3000 Before Christ. The geometry starts around 3000 BC.