complex
number popup tools - WWW Interactive Server
arithmetic, modulus, argument, roots
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complex
number popup tools - WWW Interactive Server
arithmetic, modulus, argument, roots
Plane
Graphic Calculator - J.E.Lillge
This java calculator can plot the
graphs of real functions and parametrically-defined functions. It also
supports vectors and complex numbers. (version
of calculator stored on this site)
Plane
Graphic Calculator - Complex Geometry Gallery - J.E.Lillge
John
and Betty's journey through complex numbers
comprehensive introduction to complex
numbers in the form of a childrens' book
Do
"imaginary numbers" really exist? - Philip Spencer
complex
number arithmetic
complex
plane - Terence Tao
modulus
of a complex number - ExploreMath
Manipulate
a complex number z and examine its absolute value |z|. Use a ruler and
Pythagoras' theorem to determine |z|.
polar
form - ExploreMath
Experiment with complex numbers
in polar form.
conjugate
relationships between a complex
number and its conjugate
geometric
representation of 1/z
complex
shoot
You are shown a complex number z
on the complex plane. Your task is to click (shoot) at the point representing
the value of the complex number w (w is given as a formula in z).
OEF
complex
27 exercises on complex numbers
complex
maps - Terence Tao
Investigate the functions:
f(z) = z, z+i, 2z, -z, iz, (1+i)z,
z2, 1/z, Re(z), x+2iy, zbar (conjugate), 9/zbar, exp(z), exp(1/z).
transformations
- R.F.Barrow
Investigate transformations of circles
under the functions:
f(z) = zbar (conjugate), sin(z),
cos(z), exp(z), 1/z, z+1/z
transformation
w = z + 1/z
graphic
complex inequalities
powers
Explore the graphical representation
of z, z^1, z^2, ...
multi-valued
complex maps - Terence Tao
Investigate the functions:
f(z) = z^(1/2), z^(1/3), z^(1/4),
z^(1/5), z^(1/6)
SQRT
shoot
You are shown a complex number z
on the complex plane. Your task is to click (shoot) at the points representing
the (square, cubic, quartic, or quintic) roots of z.
polynomial
sweep
Illustrate the relation between
the coefficients of a polynomial and its geometric properties (graph and
roots).
coincidence
polyroots
A picture of the complex plane is
given with a certain number of marked points. Your task is to find a polynomial
having the marked points as roots. You can try several times and your best
reply will be taken into account to compute a score.
Dave's
Short Course on Complex Numbers - David Joyce
introduction to complex numbers
(works best with Internet Explorer)
biographies
- MacTutor History Archive
Quadratic,
cubic and quartic equations - MacTutor History Archive
Fundamental
theorem of algebra - MacTutor History Archive
solution
of cubic equations - SOS Mathematics
x^z
- sci.math FAQ
giving meaning to x^z where x is
real and z is complex
(a+bi)^(a+bi)
Investigate z^z, z^(z^z), z^(z^(z^z)),
...
Introduction
to complex numbers - MATH-abundance
Difference
Equations to Differential Equations - Dan Sloughter
The Complex Plane - notes by Don
Sloughter (pdf files)
Complex
Analysis - George Cain
textbook for an introductory undergraduate
course in complex analysis (pdf files)
Complex
Analysis - Paul Scott
notes and interactive quizzes
Newton
Basins