. In the future you will receive a little piece of software to bring up Relativity Science Calculator directly from within this web pageRelativity Science Calculator
rssxml

Google
 



Some Quick and Dirty Mathematical References

"Do not worry about your difficulties in mathematics, I assure you that mine are greater" - Albert Einstein ( 1879 - 1955 )

Square Roots of Negatives

Some Quick Relativity Approximations

I

relativity approximations

II

III


Integration By Parts

integration_by_parts.png


Natural Logarithm, ln x

definition_natural_logarith.png

definition_lnx.png

definition_ln_generalized.png

§ Some implications for natural logs:

implications.png

§ Properties of ln:

ln_rules.png


The Inverse of ln x and the number e


natural_logarithm_e.png

§ Definition of number e:

definition_number_e.png

§ Number e defined numerically:

define_number_e_numerically.png

§ Properties of ln x and e:

inverses.png

§ Laws of exponents for ex:

laws_e_exponents.png


The calculus for ln x and ex

calculus.png


The Hyperbolic Function

Every function that is defined on an interval centered at the origin is comprised of even and odd components as follows:

hyperbolic functions

The importance of this class of functions lies in the fact that they best describe the hanging catenary shapes of electrical powerline cables, wave motion in certain elastic solids, and are involved in the differential equations for heat transfer in metals, as well as demonstrating time and distance dilations in special relativity mathematics.

§ Derived hyperbolic identities:

hyperbolic identities

§ The derivatives for these hyperbolic functions:


Maclaurin Series for Some Trig Functions

§ Small trignometric approximations:

radian measureradian measureradian measureradian measure

§ Maclaurin Series and hence Binomial Expansion vital in deriving :


Rotation of Axis


Definitions from Geometry and Rotational Kinematics

angular momentumangular velocity derivation


Spherical Coordinates




[ Mail this page to a friend ]



 
The best browser for this site is Firefox for our Windows friends and Safari or Firefox for Mac folks
Your ip address is: 54.90.156.100
This document was last modified on: Monday, 01-Sep-2014 13:37:02 PDT
Your browser is: CCBot/2.0 (http://commoncrawl.org/faq/)

.

.

.

.

.

.

.

.

.

.

.

.