Did mathematics help trigger major cultural events, like the Industrial Revolution and the Information Age?
97676
Of course, math is the foundation of advancement.
187876
The role of mathimatics in warfare throughout history is well documented. There are so many examples it's hard to know where to start. Most of it has been converted into computer programs in modern warfare.\n\nAn example might be a sniper and scout. The scout ranges the distance of the enemy. The sniper takes into consideration wind speed, trajectory of the bullet, etc. in order to aim and strike the target.
996703
It uses the logical part of your brain, as opposed to the creative part. Of course, in the developed world it is called Maths.
644860
Lots of places, actually.  Algebraic number theory, Galois theory, linear algebra, discrete geometry, and other fields have shown tremendous usefulness in producing hard-to-break cryptography and digital signature schemes.\n\nAlgebraic geometry, abstract algebra, some real analysis, discrete geometry, linear algebra, Galois theory, and other fields are integral in the design of error correcting codes used currently in CDs, DVDs, satellite communications, your telephone and broadband lines, and many other places where reliable communication is needed.\n\nComputer science (I hope the applications of this are obvious!) essentially grew out of mathematical logic, with lots of influence from universal algebra and category theory.\n\nArtificial intelligence research also borrows heavily from several mathematical fields, most especially mathematical logic.  Though the true "thinking computer" is still science fiction, some of the results of this research is already used in word processors (including the dreaded "Clippy"!!!! but more useful places too), voice recognition software, automatic optimization algorithms for electronic circuit designs,  and other software, and don't forget the Roomba!\n\nAbstract analysis has solved many problems in fluid dynamics, with applications to aerodynamic design, electronic circuit design, Internet traffic management, and even road system design!  (Cars on the road behave a lot like fluid in pipes).\n\nLie algebras, tensor algebras, manifold theory, algebraic topology, systems theory, and several other abstract mathematical topics come into play with the General Theory of Relativity (GPS satellites take into account the General Theory of Relativity for their calculations--or else they would give badly inaccurate results!  Not only their motion, but the Earth's gravity has an effect on measuring time, which is essential to the process of geolocation) as well as quantum theory (which gave us the transistor, the laser, superconductors, and other current technology....and far more future technology) and very importantly, at least from an intellectual viewpoint, much progress on "how the universe works" fundamentally (we don't know for sure yet!).
990013
Mathematical ideas become more exciting, tangible and memorable when you act them out with your whole body.\n   \nFor several examples that treat math and dance as a single creative activity, not as two separate disciplines, go here:
1087461
Some. If you're writing logic that solves math, it's essential.
166335
Industrial revolution led to capitalism and bourgeois society.  New class of Working people were getting developed. This contradiction led to many revolutionary activities and in the course idea of socialism and communism were born like a natural event.
180281
Yes, mathematics are extensively used in computing.
163454
yes, of course it is, it helps you with a logical line of thinking, this is osmething that can only come from mathematical logic.  This helps with critical thinking.  Also a basic understanding of math is important...taxes and bank statements are one think i would want to be able to figure out on my own...
714947
Mathematics (colloquially, maths or math) is the body of knowledge centered on concepts such as quantity, structure, space, and change, and the academic discipline which studies them; Benjamin Peirce called it "the science that draws necessary conclusions"[1] . It evolved, through the use of abstraction and logical reasoning, from counting, calculation, measurement, and the study of the shapes and motions of physical objects. Mathematicians explore such concepts, aiming to formulate new conjectures and establish their truth by rigorous deduction from appropriately chosen axioms and definitions.[2]\n\nKnowledge and use of basic mathematics have always been an inherent and integral part of individual and group life. Refinements of the basic ideas are visible in ancient mathematical texts originating in ancient Egypt, Mesopotamia and ancient India, with increased rigour later introduced by the ancient Greeks. From this point on, the development continued in short bursts until the Renaissance period of the 16th century where mathematical innovations interacted with new scientific discoveries leading to an acceleration in understanding that continues to the present day.[3]\n\nToday, mathematics is used throughout the world in many fields, including science, engineering, medicine and economics. The application of mathematics to such fields, often dubbed applied mathematics, inspires and makes use of new mathematical discoveries and has sometimes led to the development of entirely new disciplines. Mathematicians also engage in pure mathematics for its own sake without having any practical application in mind, although applications for what begins as pure mathematics are often discovered later on.\n\n\nHistory\nA quipu, a counting device used by the Inca.\nEnlarge\nA quipu, a counting device used by the Inca.\n\n    Main article: History of mathematics\n\nThe evolution of mathematics might be seen to be an ever-increasing series of abstractions, or alternatively an expansion of subject matter. The first abstraction was probably that of numbers. The realization that two apples and two oranges have something in common was a breakthrough in human thought. In addition to recognizing how to count physical objects, prehistoric peoples also recognized how to count abstract quantities, like time — days, seasons, years. Arithmetic (addition, subtraction, multiplication and division), naturally followed. Monolithic monuments testify to knowledge of geometry.\n\nFurther steps need writing or some other system for recording numbers such as tallies or the knotted strings called quipu used by the Inca empire to store numerical data. Numeral systems have been many and diverse.\n\nFrom the beginnings of recorded history, the major disciplines within mathematics arose out of the need to do calculations relating to taxation and commerce, to understand the relationships among numbers, to measure land, and to predict astronomical events. These needs can be roughly related to the broad subdivision of mathematics, into the studies of quantity, structure, space, and change.\n\nMathematics since has been much extended, and there has been a fruitful interaction between mathematics and science, to the benefit of both. Mathematical discoveries have been made throughout history and continue to be made today. According to Mikhail B. Sevryuk, in the January 2006 issue of the Bulletin of the American Mathematical Society, "The number of papers and books included in the Mathematical Reviews database since 1940 (the first year of operation of MR) is now more than 1.9 million, and more than 75 thousand items are added to the database each year. The overwhelming majority of works in this ocean contain new mathematical theorems and their proofs."
607909
read this link:http://en.wikipedia.org/wiki/Cultural_Revolution\nand this one too,\nhttp://rwor.org/a/v20/960-69/966/redgrd.htm
129340
Have you ever heard of a slide rule?  Until computers came along, every mathematician used one to work out complex mathematical operations.  I don't think they even sell those things any more.
721017
The Industrial Revolution influenced the economic and social life of present society because of the simple fact that it was considered a REVOLUTION. Because of the different advances in technology and ideology behind advancing in both education and science. The Industrial Revolution changed a great deal of things that has instilled a sense of wanting more and more today in all fields of science. The economy boomed because of faster production rate and easier manufacturing, and social life changed drastically from making things at home to going to department stores. Agriculturally, economically, socially, and ideologically... The Industrial revolution has influenced the way ALL countries today have tried to succeed in becoming world powers.\n\nFeel Free to take this... this is the "get a good grade but dont bore the hell outta everyone" answer
459582
Everything you see around you is based on mathematics. The very computer you used to post this message is based on math, the internet is math, and the chair you sit on is designed using math the clothes you wear are based on math. The building that you are right now is designed using math. In short technology and innovation are developed by people that know their math very well.
171821
I think math is wonderful, there are so many uses for it. It is an ever expanding topic too, I don't think we will ever find a "limit" to what we can do with math
258206
There are countless such mathematicians. The major ones are Euler and Gauss. Other significant contributions came from al-Khwarizmi, Evariste Galois, and pretty much every major mathematician. See "Men of Mathematics" by E.T. Bell, although it is a bit biased, and "Mathematics and its History" by John Stillwell.
746057
mathematics\n\nScience of structure, order, and relation that has evolved from counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation. Since the 17th century it has been an indispensable adjunct to the physical sciences and technology, to the extent that it is considered the underlying language of science. \n\nAmong the principal branches of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry.