YAY MATH! Algebra Geometry Math Videos Online | Homework Help Non-Euclidean Geometry In three dimensions, there are three classes of constant curvature geometries. All are based on the first four of Euclid's postulates, but each uses its own version of the parallel postulate. The "flat" geometry of everyday intuition is called Euclidean geometry (or parabolic geometry), and the non-Euclidean geometries are called hyperbolic geometry (or Lobachevsky-Bolyai-Gauss geometry) and elliptic geometry (or Riemannian geometry). Spherical geometry is a non-Euclidean two-dimensional geometry. It was not until 1868 that Beltrami proved that non-Euclidean geometries were as logically consistent as Euclidean geometry.
History of the world World population[1] from 10,000 BCE to 2,000 CE. The vertical (population) scale is logarithmic. The history of the world is the history of humanity, beginning with the Paleolithic Era. Outside the Old World, including ancient China[27] and ancient India, historical timelines unfolded differently. Prehistory[edit] Early humans[edit] Genetic measurements indicate that the ape lineage which would lead to Homo sapiens diverged from the lineage that would lead to chimpanzees (the closest living relative of modern humans) around five million years ago.[30] It is thought that the Australopithecine genus, which were likely the first apes to walk upright, eventually gave rise to genus Homo. Modern humans spread rapidly from Africa into the frost-free zones of Europe and Asia around 60,000 years ago.[32] The rapid expansion of humankind to North America and Oceania took place at the climax of the most recent Ice Age, when temperate regions of today were extremely inhospitable. Timeline[edit]
Leonhard Euler Swiss mathematician, physicist, and engineer Leonhard Euler ( OY-lər;[2] German: [ˈɔʏlɐ] ( Euler was one of the most eminent mathematicians of the 18th century and is held to be one of the greatest in history. He is also widely considered to be the most prolific mathematician of all time. His collected works fill 92 volumes,[5] more than anyone else in the field. He spent most of his adult life in Saint Petersburg, Russia, and in Berlin, then the capital of Prussia. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all Life Early years Leonhard Euler was born on 15 April 1707, in Basel, Switzerland, to Paul III Euler, a pastor of the Reformed Church, and Marguerite née Brucker, a pastor's daughter. Euler's formal education started in Basel, where he was sent to live with his maternal grandmother. Saint Petersburg 1957 Soviet Union stamp commemorating the 250th birthday of Euler. Berlin In St. Analysis where
10 ways to improve your observation skills (and your career), part III | Fast Track Tools by Ken Revenaugh How did you do on the observation test? If you found your observation skills lacking, it may be something to consider working on, as… For people who plan to become the leaders of tomorrow, developing a keen sense of observation is a must. Trying to look at every day life in a clear manner. Andrew Cox suggests these ten behaviors and habits of thought critical for developing accurate observation skills: Sizing up people – people watching Clarity – seeing the world as it is Curiosity – asking why Listening skills Willingness to set aside personal biases Willingness to seek the inputs of others Seeking out new experiences and possibilities Being comfortable with ambiguity Knowledge of the behaviors and attitudes of people Self-knowledge – accurately knowing your own behaviors, attitudes and personal skills, and how they impact others If you want to be a strong leader, you will need to hone these critical areas.
The Thirty Greatest Mathematicians Click for a discussion of certain omissions. Please send me e-mail if you believe there's a major flaw in my rankings (or an error in any of the biographies). Obviously the relative ranks of, say Fibonacci and Ramanujan, will never satisfy everyone since the reasons for their "greatness" are different. I'm sure I've overlooked great mathematicians who obviously belong on this list. Following are the top mathematicians in chronological (birth-year) order. Earliest mathematicians Little is known of the earliest mathematics, but the famous Ishango Bone from Early Stone-Age Africa has tally marks suggesting arithmetic. Early Vedic mathematicians The greatest mathematics before the Golden Age of Greece was in India's early Vedic (Hindu) civilization. Top Thales of Miletus (ca 624 - 546 BC) Greek domain Thales was the Chief of the "Seven Sages" of ancient Greece, and has been called the "Father of Science," the "Founder of Abstract Geometry," and the "First Philosopher." Tiberius(?)
Learn to Remember Everything: The Memory Palace Technique I'm working on an ebook about memory techniques. If you are interested in knowing when it is ready, be sure to subscribe to our newsletter! In this post I'll teach you how to have perfect recall of lists of items. Length is not much of an issue, it can be your shopping list if 10 items or it can be a list with 50, 100 or even 1000. And in a forthcoming post I'll show you how you how to apply this technique to learning new languages. Sounds good, doesn't it? The technique we'll be learning is called the memory palace, and is also known as the method of loci (for the latin word locus meaning place) and also the mind palace. The memory palace The memory palace technique began in the 5th century B.C., when Simonides of Ceos, poet, was attending an unfortunate banquet in Thessalia. Think about it: It is not hard to remember who sits beside the host, where your friends sit, who is beside them and so on. The memory palace is well suited to how our brains have evolved. Begin with the list.
Carl Friedrich Gauss Johann Carl Friedrich Gauss (/ɡaʊs/; German: Gauß, pronounced [ɡaʊs]; Latin: Carolus Fridericus Gauss) (30 April 1777 – 23 February 1855) was a German mathematician who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, astronomy, matrix theory, and optics. Sometimes referred to as the Princeps mathematicorum[1] (Latin, "the Prince of Mathematicians" or "the foremost of mathematicians") and "greatest mathematician since antiquity," Gauss had an exceptional influence in many fields of mathematics and science and is ranked as one of history's most influential mathematicians.[2] Early years[edit] Gauss was a child prodigy. The year 1796 was most productive for both Gauss and number theory. Middle years[edit] Gauss, who was 24 at the time, heard about the problem and tackled it. One such method was the fast Fourier transform. Later years and death[edit] Religious views[edit]