Some elements from our "math and science toolbox" are depicted here. They include scientific notation, unit conversion from one measurement system to another, a graph grid in polar coordinates, and vectors. Click on image for full size (7K GIF) Original artwork created for Windows to the Universe by Randy Russell.

Some concepts are used in many different fields of science and serve as a general purpose "toolbox" that helps us understand and manipulate ideas across disciplines. These "tools for math and science" include systems of and units for measurement, lists of physical constants, mathematical tools and conventions, and visual and graphical tools.

In order to quantify our observations of nature, humans have developed systems of measurement, each of which includes an array of measurement units. Some units, like the meter and mile and pound, are familiar; others, like the ångström or farad or Röntgen, are generally unknown beyond the scientific fields that employ them. We need to know how to convert units from one system to another, as when we determine the metric temperature in degrees Celsius when supplied with the English Fahrenheit equivalent.

Some values and ratios seem to be inherent traits of the Universe in which we live. These basic traits, in the form of numerical values, are referred to as physical constants. Examples include the speed of light (c), the ratio of a circle's circumference to its diameter (pi), the gravitational constant (G), and the base of the natural logarithms (e).

The use of mathematical concepts and conventions is widespread throughout the sciences. Vectors help us comprehend and manipulate forces and motion. Scientific notation allows us to work with very large and very small numbers in ways that our minds can grasp.

We use graphs with Cartesian, polar, and logarithmic scales to help us "see" trends. We draw maps of Earth and the heavens, using Mercator or Albers Equal Area projections to most accurately depict certain features of terrain. We employ polar and spherical and Cartesian coordinate systems to specify the locations of objects in space or on the surfaces of planets.

Some elements from our "math and science toolbox" are depicted here. They include scientific notation, unit conversion from one measurement system to another, a graph grid in polar coordinates, and vectors. Click on image for full size (7K GIF) Original artwork created for Windows to the Universe by Randy Russell.

Some ideas are used throughout the sciences. They are "tools" that can help us solve puzzles in different fields of science. These "tools" include units of measurement, mathematical formulas, and graphs.

Scientists use different systems of measurement, like the metric or English systems. Each system has different units, like the gram or pound or meter or foot. Some units, like the meter and mile and pound, are familiar; others, like the ångström or farad or Röntgen, are almost unknown outside of the scientific fields that use them. We need to know how to convert units from one system to another, as when we determine the metric temperature in degrees Celsius when supplied with the English Fahrenheit equivalent.

Some values and ratios seem to be built-in traits of the Universe. These basic traits, in the form of numerical values, are referred to as physical constants. Examples include the speed of light (c), the ratio of a circle's circumference to its diameter (pi), the gravitational constant (G), and the base of the natural logarithms (e).

The use of mathematical concepts and conventions is widespread throughout the sciences. Vectors help us comprehend and manipulate forces and motion. Scientific notation allows us to work with very large and very small numbers.

We use graphs with Cartesian, polar, and logarithmic scales to help us "see" trends. We draw maps of Earth and the heavens, using Mercator or Albers Equal Area projections to most accurately depict certain features of terrain. We employ polar and spherical and Cartesian coordinate systems to specify the locations of objects in space or on the surfaces of planets.

Some elements from our "math and science toolbox" are shown here. Click on image for full size (7K GIF) Original artwork created for Windows to the Universe by Randy Russell.

In order to study and explain space weather, scientists need to use some pretty complex math. So if you would like to study space weather when you grow up, keep plugging away in your math class!

For example, scientists who study space weather use graphing a lot to explain things. So keep working hard and ask questions in math and science class when you don't understand something! That will help you build a solid math and science foundation for the future.