Mathematics

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Mathematics is the science and 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.

There is debate over whether mathematical objects such as numbers and points really exist or whether they are manmade. 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."

Through the use of abstraction and logical reasoning, mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records go (see: History of Mathematics). Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Mathematics continued to develop, in fitful bursts, until the Renaissance, when mathematical innovations interacted with new scientific discoveries, leading to an acceleration in research that continues to the present day.

Today, mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new disciplines. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind, although practical applications for what began as pure mathematics are often discovered later.

For more information about Mathematics, read the full article at Wikipedia.
This text uses material from Wikipedia and is available under the GNU Free Documentation License.


News tagged with mathematics

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Proof by computer: Harnessing the power of computers to verify mathematical proofs

Other Sciences / Mathematics

created Nov 06, 2008 | popularity 4.5 / 5 (46) | comments 2

New computer tools have the potential to revolutionize the practice of mathematics by providing far more-reliable proofs of mathematical results than have ever been possible in the history of humankind. These computer tools, ...


A new kind of counting: Scientists develop computer algorithm to solve previously unsolvable counting problems

A new kind of counting: Scientists develop computer algorithm to solve previously unsolvable counting problems

Other Sciences / Mathematics

created Feb 11, 2009 | popularity 4.8 / 5 (33) | comments 12

(PhysOrg.com) -- How many different sudokus are there? How many different ways are there to color in the countries on a map? And how do atoms behave in a solid? Researchers at the Max Planck Institute for ...


The explainer: P vs. NP -- The most notorious problem in theoretical computer science remains open

P vs. NP -- The most notorious problem in theoretical computer science remains open

Technology / Computer Sciences

created Oct 29, 2009 | popularity 4.6 / 5 (22) | comments 5

In the 1995 Halloween episode of The Simpsons, Homer Simpson finds a portal to the mysterious Third Dimension behind a bookcase, and desperate to escape his in-laws, he plunges through. He finds himself wander ...


Dr Bill Hart - University of Warwick

A trillion triangles: New computer methods reveal secrets of ancient math problem

Other Sciences / Mathematics

created Sep 22, 2009 | popularity 4.5 / 5 (21) | comments 1

Mathematicians from North America, Europe, Australia, and South America have resolved the first one trillion cases of an ancient mathematics problem. The advance was made possible by a clever technique for ...


As easy as 1, 2, 3: Number sense correlates with test scores

Medicine & Health / Psychology & Psychiatry

created Sep 07, 2008 | popularity 4.3 / 5 (16) | comments 0

Knowing how precisely a high school freshman can estimate the number of objects in a group gives you a good idea how well he has done in math as far back as kindergarten, researchers at The Johns Hopkins University found.


What the Romans learnt from Greek mathematics

Other Sciences / Mathematics

created Mar 01, 2009 | popularity 4.2 / 5 (12) | comments 8

Greek mathematics is considered one of the great intellectual achievements of antiquity. It has been decisive to the academic and cultural development of Western civilisation. The three Roman authors Varro, Cicero and Vitruvius ...


Breakthrough in bubble research at Bath

New breakthrough in bubble research

Other Sciences / Mathematics

created Sep 02, 2009 | popularity 4.5 / 5 (8) | comments 0

A researcher from the University of Bath has found a new approach to an old geometric problem of modelling the most efficient way of packing shapes to form a foam.


Putting math problems in proper order

Other Sciences / Mathematics

created Nov 17, 2009 | popularity 5 / 5 (5) | comments 0

Mathematics is driven by the quest to solve problems and today the American Institute of Mathematics (AIM) announces a new tool to help attack those questions. Research problems can take decades or centuries to answer, with ...


In many fungi, reproductive spores are remarkably aerodynamic

Other Sciences / Mathematics

created Dec 23, 2008 | popularity 4.6 / 5 (5) | comments 2

The reproductive spores of many species of fungi have evolved remarkably drag-minimizing shapes, according to new research by mycologists and applied mathematicians at Harvard University.


High school students' paper published in prestigious college math journal

Other Sciences / Mathematics

created Jan 15, 2009 | popularity 2.8 / 5 (8) | comments 1

A paper written by four students from High Technology High School in Lincroft, New Jersey, entitled Ethanol: Not All It Seems To Be has been published in the January 2009 issue of The Mathematical Association of America's ...


Fuel cells, energy conversion and mathematics

Other Sciences / Mathematics

created Jul 24, 2009 | popularity 4 / 5 (5) | comments 0

Concerns about dwindling fossil fuel resources, current levels of petroleum consumption, and growing pressure to shift to more sustainable energy sources are among the many factors prompting the transition from our current ...


Algebra adds value to mathematical biology education

Other Sciences / Mathematics

created Jul 30, 2009 | popularity 5 / 5 (4) | comments 1

As mathematics continues to become an increasingly important component in undergraduate biology programs, a more comprehensive understanding of the use of algebraic models is needed by the next generation of biologists to ...


Mathematics prize goes to University of Chicago's Hannah Alpert

Other Sciences / Mathematics

created Nov 18, 2009 | popularity 4 / 5 (5) | comments 0

(PhysOrg.com) -- The Association for Women in Mathematics has named Hannah Alpert, a third-year mathematics major at the University of Chicago, a co-winner of the 2010 Alice T. Schafer Prize for excellence in mathematics ...


Mathematical models key to tracking gossip, terrorists

Mathematical models key to tracking gossip, terrorists

Other Sciences / Mathematics

created Dec 09, 2009 | popularity 4 / 5 (4) | comments 0

(PhysOrg.com) -- Thanks to the Internet and online social networks (OSNs) news and gossip now spread literally like wildfire -- uncontrollably and seemingly without any order. But according to one Ryerson ...


Anxiety's hidden cost

Medicine & Health / Psychology & Psychiatry

created Jun 23, 2009 | popularity 5 / 5 (3) | comments 2

The effect of anxiety on academic performance is not always obvious but new research funded by the Economic and Social Research Council suggests that there may be hidden costs. The research found that anxious individuals ...