Branches of Mathematics

Pure mathematics

• Algebra
• Calculus
• Geometry
• Topology
• Trignometry
• Combinatorics
• Logic
• Number theory

Applied mathematics

• Dynamical systems and differential equations
• Mathematical physics
• Computing
• Information theory and signal processing
• Probability and statistics
• Game theory
• Operations research

Related Topics

• Electromagnetic Spectrum
• Linear Equations
• Applied Physics
• Nano Technology
• Engineering Sciences
• Mathematical Medicine
• Fluid dynamics
• Computational Mathematics
• Gamma Ray Optics
• Onfrared Optics
• Relative Velocity
• Iciam
• Intelligent Imaging Neuroscience
• Biomedical Engineering
• Neuroscience Research
• Quantum Cosmology
• Brain Research

• Algebra
• Analysis of variance
• Anthrax
• Antoine Lavoisier
• Arithmetic mean
• Assay
• Astronomical
• Astronomy
• Bacteria
• Bar chart
• Bayes estimator
• Bayes factor
• Bayesian inference
• Bayesian probability
• Bias of an estimator
• Binomial regression
• Biochemistry
• Bioinformatics
• Biologist
• Biometrics
• Biostatistics
• Biplot
• Blind experiment
• Box plot
• Box–Behnken design
• Box–Jenkins
• Calorimeter
• Carbon
• Cartography
• Categorical data
• Category Statistics
• Census
• Charcoal
• Chemical reaction
• Chemistry
• Chemometrics
• Chi-squared test
• Chicken cholera
• Clinical trial
• Cluster analysis
• Cochran's theorem
• Cohen's kappa
• Combustion
• Comparing means
• Conclusion
• Confidence interval
• Confounding
• Conservation of mass
• Contingency table
• Control chart
• Control group
• Correlation
• Correlogram
• Counterexample
• Covariate
• Credible interval
• Crime statistics
• Crossover study
• Data collection
• David A. Freedman
• Deductive reasoning
• Density estimation
• Earth
• Ecology
• Econometrics
• Economics
• Effect size
• Einstein
• Epidemiology
• Equations
• Estimator
• Euclid
• Experiment
• Experimental music
• Experimental physics
• Experimental science
• Experimental unit
• Exponential family
• External validity
• F-test
• Factor analysis
• Factorial experiment
• Failure rate
• Fermentation (wine)
• Field experiment
• Forest plot
• Francis Bacon
• Frequency domain
• Galileo Galilei
• General linear model
• Geocentric model
• Geology
• Geometric mean
• Geometry
• Geostatistics
• Graeco-Latin square
• Graphical model
• Grouped data
• Guinea pig
• Harmonic mean
• Heat of combustion
• Heliocentrism
• Histogram
• Hydrogen
• Hypotheses
• Hypothesis
• Inclined plane
• Index of dispersion
• Internal validity
• Interquartile range
• Isaac Newton
• Isotonic regression
• James Clerk Maxwell
• Johannes Kepler
• Kriging
• Kurtosis
• L-moment
• Laboratory
• Latin square
• Linear regression
• List of experiments
• Location parameter
• Logistic regression
• Logrank test
• Long-term experiment
• Louis Pasteur
• Lungs
• Mann–Whitney U
• Markov's inequality
• Matter
• Maximum likelihood
• McNemar's test
• Mean
• Measurement
• Median
• Medical statistics
• Meta-analysis
• Meteorology
• Methods engineering
• Microbiology
• Microscope
• Mixed model
• Mode (statistics)
• Moment (mathematics)
• Multiple comparison
• National accounts
• Natural experiment
• Nonlinear regression
• Nuisance variable
• Null hypothesis
• Number
• Observation
• Observational study
• Official statistics
• Opinion poll
• Optimal design
• Organisms
• Orthogonality
• Oscar Kempthorne
• Oxygen
• Paleontology
• Partial correlation
• Pasteurization
• Pendulum
• Percentile
• Philosophy
• Pierre-Simon Laplace
• Placebo
• Planet
• Poisson regression
• Political science
• Portal Statistics
• Prior probability
• Probabilistic design
• Protein
• Psychometrics
• Pulse
• Q-Q plot
• Quality control
• Quasi-experiment
• Quasi-experiments
• Questionnaire
• Rabies
• Radar chart
• Random assignment
• Random effect
• Randomization
• Range (statistics)
• Rank correlation
• Regression analysis
• Replicate
• Research papers
• Research subject
• Response variable
• Robust regression
• Robust statistics
• Run chart
• Sample size
• Scatter plot
• Science
• Scientific control
• Scientific method
• Scientific models
• Scientist
• Seasonal adjustment
• Selection bias
• Sequential analysis
• Shapiro–Wilk test
• Skewness
• Social statistics
• Solution
• Spatial analysis
• Spectrophotometer
• Standard curve
• Standard deviation
• Standard error
• Star
• Stationary process
• Statistical graphics
• Statistical model
• Statistical power
• Statistical theory
• Statistics
• Stemplot
• Stimulation
• Stratified sampling
• Student's t-test
• Sufficient statistic
• Sugar
• Sun
• Survey methodology
• Survival analysis
• Survival function
• System
• Taguchi methods
• Template Statistics
• Test method
• Theories
• Time domain
• Time series
• Treatment group
• Trend estimation
• Trial and error
• True experiment
• Tycho Brahe
• Variance
• Wald test
• Water
• Yeast
• Z-test
• 
  

• 
  Antoine Lavoisier
  Antoine-Laurent de Lavoisier (also Antoine Lavoisier after the French Revolution); 26 August 1743 – 8 May 1794; French pronunciation: [ɑ̃twan lɔʁɑ̃ də lavwazje]), the "father of modern chemistry", was one of the French nobleman prominent in the histories of chemistry and biology. He named both oxygen (1778) and hydrogen (1783) and helped construct the metric system, put together the first extensive list of elements, and helped to reform chemical nomenclature. He was also the first to establish that sulfur was an element (1777) rather than a compound. He discovered that, although matter may change its form or shape, its mass always remains the same.
  He was an administrator of the "Ferme Générale" and a powerful member of a number of other aristocratic councils. All of these political and economic activities enabled him to fund his scientific research. At the height of the French Revolution he was accused by Jean-Paul Marat of selling watered-down tobacco, and of other crimes and was eventually guillotined a year after Marat's death. Benjamin Franklin was familiar with Antoine as they were both members of the "Benjamin Franklin inquiries" into Mesmer and animal magnetism.
  
  wn.com/Antoine_Lavoisier
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  Euclid
  Euclid ( /ˈjuːklɪd/ EWK-lid; Ancient Greek: Εὐκλείδης Eukleidēs), fl. 300 BC, also known as Euclid of Alexandria, was a Greek mathematician, often referred to as the "Father of Geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BC). His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. In the Elements, Euclid deduced the principles of what is now called Euclidean geometry from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory and rigor.
  "Euclid" is the anglicized version of the Greek name Εὐκλείδης, meaning "Good Glory".
  Little is known about Euclid's life, as there are only a handful of references to him. The date and place of Euclid's birth and the date and circumstances of his death are unknown, and only roughly estimated in proximity to contemporary figures mentioned in references. No likeness or description of Euclid's physical appearance made during his lifetime survived antiquity. Therefore, Euclid's depiction in works of art is the product of the artist's imagination.
  
  wn.com/Euclid
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  Francis Bacon
  Francis Bacon, 1st Viscount St Alban(s),KC (22 January 1561 – 9 April 1626) was an English philosopher, statesman, scientist, jurist and author. He served both as Attorney General and Lord Chancellor of England. Although his political career ended in disgrace, he remained extremely influential through his works, especially as philosophical advocate and practitioner of the scientific method during the scientific revolution.
  Bacon has been called the creator of empiricism. His works established and popularised inductive methodologies for scientific inquiry, often called the Baconian method, or simply the scientific method. His demand for a planned procedure of investigating all things natural marked a new turn in the rhetorical and theoretical framework for science, much of which still surrounds conceptions of proper methodology today.
  Bacon was knighted in 1603, and created both the Baron Verulam in 1618, and the Viscount St Alban in 1621; as he died without heirs both peerages became extinct upon his death. He famously died by contracting pneumonia while studying the effects of freezing on the preservation of meat.
  
  wn.com/Francis_Bacon
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  Galileo Galilei
  Galileo Galilei (Italian pronunciation: [ɡaliˈlɛːo ɡaliˈlɛi]; 15 February 1564 – 8 January 1642), was an Italian physicist, mathematician, astronomer, and philosopher who played a major role in the Scientific Revolution. His achievements include improvements to the telescope and consequent astronomical observations and support for Copernicanism. Galileo has been called the "father of modern observational astronomy", the "father of modern physics", the "father of science", and "the Father of Modern Science".
  His contributions to observational astronomy include the telescopic confirmation of the phases of Venus, the discovery of the four largest satellites of Jupiter (named the Galilean moons in his honour), and the observation and analysis of sunspots. Galileo also worked in applied science and technology, inventing an improved military compass and other instruments.
  Galileo's championing of heliocentrism was controversial within his lifetime, when most subscribed to either geocentrism or the Tychonic system. He met with opposition from astronomers, who doubted heliocentrism due to the absence of an observed stellar parallax. The matter was investigated by the Roman Inquisition in 1615, and they concluded that it could only be supported as a possibility, not as an established fact. Galileo later defended his views in Dialogue Concerning the Two Chief World Systems, which appeared to attack Pope Urban VIII and thus alienated him and the Jesuits, who had both supported Galileo up until this point. He was tried by the Inquisition, found "vehemently suspect of heresy", forced to recant, and spent the rest of his life under house arrest. It was while Galileo was under house arrest that he wrote one of his finest works, Two New Sciences. Here he summarized the work he had done some forty years earlier, on the two sciences now called kinematics and strength of materials.
  
  wn.com/Galileo_Galilei
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  Isaac Newton
  Sir Isaac Newton PRS MP (25 December 1642 – 20 March 1727 [NS: 4 January 1643 – 31 March 1727]) was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian, who has been "considered by many to be the greatest and most influential scientist who ever lived." His monograph Philosophiæ Naturalis Principia Mathematica, published in 1687, lays the foundations for most of classical mechanics. In this work, Newton described universal gravitation and the three laws of motion, which dominated the scientific view of the physical universe for the next three centuries. Newton showed that the motions of objects on Earth and of celestial bodies are governed by the same set of natural laws, by demonstrating the consistency between Kepler's laws of planetary motion and his theory of gravitation, thus removing the last doubts about heliocentrism and advancing the Scientific Revolution.
  
  wn.com/Isaac_Newton
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  James Clerk Maxwell
  James Clerk Maxwell of GlenlairFRS FRSE (13 June 1831 – 5 November 1879) was a Scottishphysicist and mathematician. His most prominent achievement was formulating classical electromagnetic theory. This unites all previously unrelated observations, experiments, and equations of electricity, magnetism, and optics into a consistent theory.Maxwell's equations demonstrate that electricity, magnetism and light are all manifestations of the same phenomenon, namely the electromagnetic field. Subsequently, all other classic laws or equations of these disciplines became simplified cases of Maxwell's equations. Maxwell's achievements concerning electromagnetism have been called the "second great unification in physics", after the first one realised by Isaac Newton.
  Maxwell demonstrated that electric and magnetic fields travel through space in the form of waves and at the constant speed of light. In 1865, Maxwell published A Dynamical Theory of the Electromagnetic Field. It was with this that he first proposed that light was in fact undulations in the same medium that is the cause of electric and magnetic phenomena. His work in producing a unified model of electromagnetism is one of the greatest advances in physics.
  
  wn.com/James_Clerk_Maxwell
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  Johannes Kepler
  Johannes Kepler (German pronunciation: [ˈkʰɛplɐ]; December 27, 1571 – November 15, 1630) was a German mathematician, astronomer and astrologer. A key figure in the 17th century scientific revolution, he is best known for his eponymous laws of planetary motion, codified by later astronomers, based on his works Astronomia nova, Harmonices Mundi, and Epitome of Copernican Astronomy. These works also provided one of the foundations for Isaac Newton's theory of universal gravitation.
  During his career, Kepler was a mathematics teacher at a seminary school in Graz, Austria, where he became an associate of Prince Hans Ulrich von Eggenberg. Later he became an assistant to astronomer Tycho Brahe, and eventually the imperial mathematician to Emperor Rudolf II and his two successors Matthias and Ferdinand II. He was also a mathematics teacher in Linz, Austria, and an adviser to General Wallenstein. Additionally, he did fundamental work in the field of optics, invented an improved version of the refracting telescope (the Keplerian Telescope), and mentioned the telescopic discoveries of his contemporary Galileo Galilei.
  
  wn.com/Johannes_Kepler
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  Louis Pasteur
  Louis Pasteur ( /ˈluːi pæˈstɜr/, French: [lwi pastœʁ]; December 27, 1822 – September 28, 1895) was a French chemist and microbiologist born in Dole. He is remembered for his remarkable breakthroughs in the causes and preventions of diseases. His discoveries reduced mortality from puerperal fever, and he created the first vaccines for rabies and anthrax. His experiments supported the germ theory of disease. He was best known to the general public for inventing a method to stop milk and wine from causing sickness, a process that came to be called pasteurization. He is regarded as one of the three main founders of microbiology, together with Ferdinand Cohn and Robert Koch. Pasteur also made many discoveries in the field of chemistry, most notably the molecular basis for the asymmetry of certain crystals. His body lies beneath the Institute Pasteur in Paris in a spectacular vault covered in depictions of his accomplishments in Byzantine mosaics.
  Louis Pasteur was born on December 27, 1822, in Dole in the Jura region of France, into the family of a poor tanner. Louis grew up in the town of Arbois. He gained degrees in Letters and in Mathematical Sciences before entering the École Normale Supérieure, an elite college. After serving briefly as professor of physics at Dijon Lycée in 1848, he became professor of chemistry at the University of Strasbourg, where he met and courted Marie Laurent, daughter of the university's rector, in 1849. They were married on May 29, 1849, and together had five children, only two of whom survived to adulthood; the other three died of typhoid. These personal tragedies inspired Pasteur to try to find cures for diseases such as typhoid.
  
  wn.com/Louis_Pasteur
• Oscar Kempthorne
  Oscar Kempthorne (1911–2000) was a statistician and geneticist known for his research on randomization-analysis and the design of experiments, which had wide influence on research in agriculture, genetics, and other areas of science. Born in St Tudy, Cornwall and educated in England, Kempthorne moved to the United States, where he was for many decades a professor at Iowa State University.
  Kempthorne developed a randomization-based approach to the statistical analysis of randomized experiments, which was expounded in pioneering textbooks and articles. Kempthorne's insistence on randomization followed the early writings of Ronald A. Fisher, particularly Fisher's youthful writings on randomized experiments.
  Kempthorne is the founder of the "Iowa school" of experimental design and analysis of variance. Kempthorne and many of his former doctoral students have often emphasized the use of the randomization distribution under the null hypothesis. Kempthorne was skeptical of "statistical models" (of populations), when such models are proposed by statisticians rather than created using objective randomization procedures.
  
  wn.com/Oscar_Kempthorne
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  Tycho Brahe
  Tycho Brahe (14 December 1546 – 24 October 1601), born Tyge Ottesen Brahe, was a Danish nobleman known for his accurate and comprehensive astronomical and planetary observations. Coming from Scania, then part of Denmark, now part of modern-day Sweden, Tycho was well known in his lifetime as an astronomer and alchemist.
  In his De nova stella (On the new star) of 1573, he refuted the Aristotelian belief in an unchanging celestial realm. His precise measurements indicated that "new stars" (novae or also now known as supernovae), in particular that of 1572, lacked the parallax expected in sub-lunar phenomena, and were therefore not "atmospheric" tail-less comets as previously believed, but occurred above the atmosphere and moon. Using similar measurements he showed that comets were also not atmospheric phenomena, as previously thought, and must pass through the supposed "immutable" celestial spheres.
  Tycho Brahe was granted an estate on the island of Hven and the funding to build the Uraniborg, an early research institute, where he built large astronomical instruments and took many careful measurements, and later Stjerneborg, underground, when he discovered that his instruments in the former were not sufficiently steady. Something of an autocrat on the island he nevertheless founded manufactories such as paper-making to provide material for printing his results. After disagreements with the new Danish king in 1597, he was invited by the Bohemian king and Holy Roman emperor Rudolph II to Prague, where he became the official imperial astronomer. He built the new observatory at Benátky nad Jizerou. Here, from 1600 until his death in 1601, he was assisted by Johannes Kepler. Kepler later used Tycho's astronomical results to develop his own theories of astronomy.
  
  wn.com/Tycho_Brahe