Mathematics is the 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 exist naturally or are human creations. 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 exist. 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.

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Tue Nov 3 14:44:21 2009

List at least 3 effective ways for teaching mathematics to the undergraduate student?
Q. The purpose is to improve the mathematics skills of the student in any Mathematic's subject. One way, let the student comes to the board to solve a particular Math problem. Please cite another ways. Thank you.
Asked by Rainier J - Tue Feb 26 07:53:41 2008 - - 1 Answers - 0 Comments

A. Engage Students Actively Students need to have many and varied opportunities for collecting, sorting and cataloging; observing, note taking and sketching; interviewing, polling, and surveying; and using hand lenses, microscopes, thermometers, cameras, and other common instruments. They should dissect; measure, count, graph, and compute; explore the chemical properties of common substances; plant and cultivate; and systematically observe the social behavior of humans and other animals. Among these activities, none is more important than measurement, in that figuring out what to measure, what instruments to use, how to check the correctness of measurements, and how to configure and make sense out of the results are at the heart of much of… [cont.]
Answered by Curious_Yank_in_South_Korea - Tue Mar 4 08:19:11 2008

What is the best topic for having a seminar in mathematics?
Q. I need to have a seminar about any interesting topics related to mathematics. Please help and give me some detail from where I could get it?Thanks.
Asked by missy - Sat Jul 4 05:28:18 2009 - - 2 Answers - 0 Comments

A. How mathematics relate to the real world. In other words, what the heck is it used for besides torturing (fill in your grade level) students? Also known as applications, in science/ engineering, economics, statistics, and every day at home. Or, A review of the web resources available today that cover math subjects of interest to your audience... for an idea, go to www.wolframalpha.com Or, What careers depend on good math skills, and what are the paths one can take to get into these careers? Or, A history, or mini-biographies, of notable figures related to the level you audience is at. Good Luck!
Answered by Antswer - Sat Jul 4 10:47:34 2009

What's the difference between Thomas calculus and Kreyszig advanced engineering mathematics ?
Q. those two are books which usually be used in the universities.but i don't really know which one should i start to read first. both are advanced mathematics and huge .
Asked by SHAYAN - Fri Oct 2 07:02:21 2009 - - 3 Answers - 0 Comments

A. Well both are two different books by different authors. I first read thomas and finney. But it's your choice which one to read first.. If you have to study both of them you can start with any one book
Answered by Unistar - Fri Oct 2 08:33:33 2009

From Yahoo Answer Search: "Mathematics"
Tue Nov 3 02:12:58 2009

Mathematics is the body of knowledge centered on concepts such as quantity, structure, space, and change, and the academic discipline which studies them. 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.

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  • Any author who uses mathematics should always express in ordinary language the meaning of the assumptions he admits, as well as the significance of the results obtained. The more abstract his theory, the more imperative this obligation. In fact, mathematics are and can only be a tool to explore reality. In this exploration, mathematics do not constitute an end in itself, they are and can only be a means.
  • Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere.
    • W.S. Anglin, in Mathematics and History, elucidating the symmetry between the creative and logical aspects of mathematics.
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From Google News Search: "Mathematics"
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Constructed in 1948 and completely renovated in 1982 the Mathematics Center provides classroom and office space for the Mathematics Division

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From Yahoo Image Search: "Mathematics"
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From Google Blog Search: "Mathematics"
Fri Nov 6 15:09:57 2009

See also:

  • Noetic Learning MathNoetic Learning Math
    noetic-learning.com
    Interactive math learning activities, practice, and self-paced online learning programs.
  • Activities for LearningActivities for Learning
    alabacus.com
    RightStart Mathematics curriculum is designed for homeschooling, using the abacus teaching method.
  • Homeschool MathHomeschool Math
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    Free resources for homeschool math teaching.
Custom search only Mathematics sites:

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