Study Guides

1.
Optics and Telescopes Help
Basic Optics Until a few hundred years ago, the only instrument available for astronomical observation was the human eye. This changed in the 1600s when several experimenters, including such notables as Galileo Galilei and Isaac Newton, combined lenses and ...
Source: McGrawHill Professional 
2.
Hyperspace and Warped Space Help
Introduction to Hyperspace and Warped Space Some of the concepts in this chapter are among the most esoteric in all of mathematics, with farreaching applications. Hyperspace (space of more than three dimensions) and warped ...
Source: McGrawHill Professional 
3.
Hyper Objects Help
Introduction to Hyper Objects Now that we’re no longer bound to 3D space, let’s put our newly empowered imaginations to work. What are 4D objects like? How about five dimensions (5D) and beyond? Time As ...
Source: McGrawHill Professional 
4.
Beyond Four Dimensions Help
Introduction to The Fourth Dimension and Beyond There is no limit to the number of dimensions that can be defined using the Cartesian scheme. There can be any positive whole number of dimensions. Time can be (but does not have to be) one of ...
Source: McGrawHill Professional 
5.
Parallel Principle Revisited Help
Introduction to Geometry Postulates Conventional geometry is based on five axioms, also called postulates , that were first stated by a Greek mathematician named Euclid who lived in the 3rd century Everything we have done in ...
Source: McGrawHill Professional 
6.
Curved Space Help
Introduction to Curved Space The observable universe seems, upon casual observation, to be Euclidean. If you use lasers to “construct” polygons and then measure their interior angles with precision lab equipment, you’ll find ...
Source: McGrawHill Professional 
7.
Hyperspace And Warped Space Practice Test
Refer to the following links, if necessary: Hyperspace and Warped Space Help
Source: McGrawHill Professional 
8.
Equations and Formulas for Physics Help
Introduction An equation is a mathematical expression containing two parts, one on the lefthand side of an equals sign (=) and the other on the righthand side. A formula is an equation used for the purpose of deriving a ...
Source: McGrawHill Professional 
9.
OneVariable FirstOrder Equations for Physics Help
Introduction In algebra, it is customary to classify equations according to the highest exponent, that is, the highest power to which the variables are raised. A onevariable firstorder equation , also called a firstorder ...
Source: McGrawHill Professional 
10.
OneVariable SecondOrder Equations for Physics Help
Introduction A onevariable secondorder equation , also called a secondorder equation in one variable or, more often, a quadratic equation , can be written in the following standard form:
Source: McGrawHill Professional