Mathematics

Mathematics
is a language and logic made up by human without a complete set of axioms, but at the
same time, a perfect explanation for and description of natural process (much more
logical and correct than human language). Numbers define, weigh, measure, express, shape and
form reality. Every number corresponds to a geofractal shape. The science of mathematics was developed by masonic elite families as part of the Scientific Revolution (the Science Church) to rebuild the technological civilization of Atlantis. |

**Pure mathematics: **number theory (natural
numbers and arithmetic operations divide, multiply. integers -containing
negative nrs, rational, real and complex nrs, quaternions, octonion,
cardinal numbers, prime numbers, pi, exponentional), equation,..

- algebra (linear algebra, group theory, field theory).

- geometry, trigonometry, hyperbolic geometry, differential geometry (Riemann surfaces), fractal geometry (Mandelbrot).

- topology (fi Moebius strip).

- analysis (real analysis with real numbers, complex analysis with complex numbers), vectors, matrices.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. The number of rows and columns form the dimensions of that matrix. Matrices are used to study physical phenomena, such as the motion of rigid bodies. In computer graphics, they are used to manipulate 3D models and project them onto a 2-dimensional screen. In probability theory and statistics, stochastic matrices are used to describe sets of probabilities (for instance, they are used within the PageRank algorithm that ranks the pages in a Google search, Google creates a matrix with nodes, more links, more connections, higher on the list).

A stochastic matrix is a square matrix of unknown (not deterministic) coincidences, used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number representing a probability.

A Markov chain is a stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Stochastic processes can be divided into various categories, which include random walks, martingales, Markov processes, Levy processes, Gaussian processes, random fields, renewal processes, and branching processes.

- discrete mathematics, combinatorics, game theory (set of rules, John Nash). trees, partition theory.

- measure theory, group theory (fi rubics cube permutation group), order theory.

- calculus (integral and differential, vector calculus, dynamic systems like ecosystems and social networks), Chaos theory,..

**Applied: **mathematical theoretical physics,
economics, mathematical chemistry and biomathematics, engineering (control theory),
numerical analysis, game theory in psychology, research on probability, statistics, optimization, computer science, graph theory,, machine
learning, cryptography, mathematical logic,.. The NSA is the largest employer of mathematicians, for creating and
breaking codes.

**History of mathematics**

**2500 bc** Egyptian engineering, worship of mother goddess Isis (Ma'at holding scales of Libra), sacred geometry, golden ratio phi in Great pyramids.** **Thoth is the god of mathematics.

The Babylonians use algebra and arithmetics for taxation.

Mathematics is equated with astrology. Jewish Kabbalists develop gematria and numerology.

**500 bc** Greek schools of philosophy and mathematics like the Pythagorean mystery school, using the tetractys symbol. counting (ability of animals) in 10 digits like 10 fingers
(digitus: finger). Although 10 was considered a holy number (1 and O, male and female), a 12digit system would be easier, dividable by more numbers. logic (cause and effect, if A than B, implies if not A than not B).

**300 bc** Euclid the Elements. Archimedes.

**200 bc** use of negative numbers in China.

**820** algebra is developed in Persia. Islamic Golden Age with Ibn al-Haytham.

**1202** Leonardo of Pisa (Fibonacci) Liber Abaci (dedicated to Michael Scot). Fibonacci uses Arab knowledge of algebra in European accounting. Niccolo Tartaglia translates Archimedes and Euclid. Building secrets are passed through freemasonry.

**1509** Luca Paciola Divina Proportione, illustrated by Leonardo da Vinci.

**1545** Geralamo Cardano (son of friend of da Vinci) Ars Magna use of negative numbers. Cardano introduces the binomial theorem.

**1591** François Viète New Algebra.

**1607 **the jesuits start teaching students like René Descartes and Marin Mersenne at Prytanée national militaire. Descartes studies Arabic mathematical texts in the Netherlands with Jacobius Golius.

**1611 **Johannes Kepler publishes on the Kepler conjecture.

**1637 **René Descartes publishes La Géométrie (rule of signs used as method to determine the positive and negative roots of polynomial), based on work of Pierre de Fermat and helps setting the stage for the Enlightenment trend.

Isaac Newton's view of nature as mechanical device becomes dominant in the Science Church.

The jesuits let Gottfried Wilhelm Leibniz study the I Ching. He introduces algebra of concepts and early computation theory. Newton, Leibniz and Johan Bernouilli develop infinitesimal calculus.

**1738** Daniel Bernouilli (Royal Society) Hydrodynamica.

**1796 **Johann Gauss (American Philosophical Society) works for the Brunswick-Lunenbergs and teaches Bernard Riemann and Auguste Möbius. He explores hyperbolic geometry.

**1847** George Boole (Royal Society) introduces Boolean algebra.

**1858** Auguste Möbius (descendant of Martin Luther) discovers the Möbius strip.

**1859** Bernard Riemann publishes Riemann's hypothesis (analytic number theory).

**1861** James Maxwell publishes his Maxwell
equations, foundation of electromagnetism.

**1865** the London Mathematical Society with presidents Thomas Archer Hirst (Royal Society), Lord Rayleigh (Royal Society, Cambridge, Nobel Prize in Physics).

**1869** Norwegian mathematician Sophus Lie develops his theory of Lie groups.

Lewis Carroll writes Alice in Wonderland, based on 4D math (quaternions).

**1892** University of Chicago organizes the International Mathematical Congress at Chicago's World Fair.

**1897** Georg Cantor (set theory) and Felix Klein found the International Congress of Mathematicians.

**1900** David Hilbert presents Hilbert's problems at International Congress of Mathematicians (ICM), including Riemann's hypothesis.

**1905** Henri Pointcaré (topology, chaos theory),
the brother of pm of France Raymond Pointcaré, influences Albert
Einstein to develop the
special theory of Relativity (also based on Riemann's differential geometry). rise of quantum mechanics.

**1912 **Edmund Landau's problems about prime numbers. Bertrand Russell and his teacher Alfred North Whitehead write Principia Mathematica.

**1913** Hermann Weyl The Concept of a Riemann Surface.

**1928** ICM congress with Hermann Weyl.

**1936** Fields Medal is awarded to Lars Ahifors, Klaus Roth (Royal Society), John Milnor (K-theory), Michael Atiyah,.. Claude Shannon works with Vannevar Bush on differential analyzer, an early analog computer, based on Boolean algebra. Alan Turing On Computable Numbers.

**1939 **John von Neumann and Hermann Weyl work at IAS of Princeton with Albert Einstein.

**1940s** Norbert Wiener develops cybernetics. John von Neumann works for RAND Corporation. Alan Turing works on cryptography projects of MI6.

**1943** Macy conferences on cybernetics with Wiener, von Neumann, Leonard Savage, Walter Pitts.

**1951** founding of Society for Industrial and Applied Mathematics.

**1952** founding of the NSA. popular mathematics in Scientific American columns of Martin Gardner.

**1963 **Edward Norton Lorenz and Benoit Mandelbrot introduce the concepts of chaos theory. Jesuit trained Laurent Schwarz introduces theory of distributions.

**1972** soul theorem of Jeff Gieger. Edvard Lorenz introduces the term 'butterfly effect' at meeting of AAAS.

**1974 **Michael Atiyah, president of Royal Society, as president of the London Mathematical Society.

**1987** Michael Arbib (cybernetics) Brains, Machines and Mathematics.

**1998 **formation of the Clay Mathematics Institute, who with help from Michael Atiyah, John Milnor present the Millenium Prize Problems: P versus NP, Hodge conjecture, the Pointcaré conjecture, Riemann hypothesis.

**2003** Grigori Perelman solves the Pointcaré
conjecture. quantum computing.

**2005** Stephen Hawking God Created the Integers.