jtth + mathematics 56
Simplifying calculus by assuming linearity « Casting Out Nines
january 2010 by jtth
Last semester I stumbled upon an approach for teaching the concept of the derivative, and later the integral, that worked surprisingly well with my students. It stems from a realization I had that much of what students see when they first learn about derivatives has very little to do with understanding what a derivative is. The typical approach to introducing the derivative throws students directly into the trickiest possible case: a smooth nonlinear curve, and we want to calculate the slope of a tangent line to this curve at a point. To do this, we have to bring in a lot of “stuff”: average rates of change, tables of sequences of average rates of change, and in a vague and non-rigorous sort of way the notion of a limit. It’s this “stuff” that confuses students — not because it’s hard, but because maybe it’s not suited for their first contact with the idea of the derivative. Maybe we need to build their intuition first.
mathematics
education
january 2010 by jtth
Math Overflow
december 2009 by jtth
A place for mathematicians to ask and answer questions
reference
tools
blog
interesting
math
research
education
mathematics
learning
social
statistics
resources
tutorials
algebra
collaborative
geometry
community
forum
maths
wiki
crowdsourcing
socialnetworking
calculus
answers
questions
mathoverflow
overflow
communities
stackoverflow
december 2009 by jtth
Linear Algebra textbook home page
may 2009 by jtth
The text Linear Algebra is free for downloading, It covers the material of a first undergraduate Linear Algebra course. You can use it either as a main text, as a supplement to another text, or for independent study.
free
education
books
book
math
mathematics
algebra
linear
linearalgebra
may 2009 by jtth
Wolfram Blog : Droste Effect with Mathematica
april 2009 by jtth
Take a look at this Demonstration using the original Droste box artwork. But much more interesting results can be achieved when you get complex analysis involved. M.C. Escher was the first to popularize applying conformal mapping to images, but with computers we can easily apply the same ideas to photographs, to get results like this:
tutorial
programming
math
mathematics
photography
photo
images
mathematica
droste
april 2009 by jtth
Is the Universe Actually Made of Math?
reality tegmark discover science article interesting research humor math articles time physics architecture mind philosophy mathematics culture education maths space home evolution interview quantum matematica interviews cosmology universe relativity mit
january 2009 by jtth
reality tegmark discover science article interesting research humor math articles time physics architecture mind philosophy mathematics culture education maths space home evolution interview quantum matematica interviews cosmology universe relativity mit
january 2009 by jtth
Backpropagation
december 2008 by jtth
The project describes teaching process of multi-layer neural network employing backpropagation algorithm. To illustrate this process the three layer neural network with two inputs and one output,which is shown in the picture below, is used:
programming
computer
tutorial
math
network
ai
mathematics
computerscience
algorithm
algorithms
neural
networks
neuralnetworks
nn
ann
machinelearning
backpropagation
december 2008 by jtth
NumberSpiral.com - Home
december 2008 by jtth
Really cool number spiral play.
article
reference
design
art
cool
interesting
tutorial
fun
research
education
math
visualization
Geek
mathematics
algorithms
information
theory
code
learning
number
geometry
patterns
numbers
primes
spirals
december 2008 by jtth
10 Easy Arithmetic Tricks - The List Universe
september 2008 by jtth
Math can be terrifying for many people. This list will hopefully improve your general knowledge of mathematical tricks and your speed when you need to do math in your head.
arithmetic
cheatsheet
lists
mathematics
learning
maths
interesting
reference
howto
math
september 2008 by jtth
PARI/GP Development Headquarters
august 2008 by jtth
PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves...), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions. PARI is also available as a C library to allow for faster computations.
science
software
programming
computer
tools
linux
math
mathematics
opensource
education
development
language
library
academic
theory
number
system
calculator
algebra
C
cas
number_theory
pari-gp
gp
matematica
number-theory
august 2008 by jtth
BBC NEWS | Health | Brain's counting skill 'built-in'
august 2008 by jtth
Humans have an in-built ability to do mathematics even if they do not have the language to express it, a research team has suggested.
science
psychology
neuroscience
research
brain
education
linguistics
english
mathematics
learning
language
bbc
2008
august 2008 by jtth
Several Proofs of the Twin Primes Conjecture
july 2008 by jtth
Proof of Goldbach's Conjecture, the Prime Number Theorem, and Euclid's Logic Provide Proofs of the Twin Primes Conjecture. Proof of the Twin Primes Conjecture Provides Proof of Goldbach's Conjecture
math
proof
mathematics
goldbach
conjecture
goldbachconjecture
euclid
primes
prime
numbertheory
number
theory
july 2008 by jtth
What Every Computer Scientist Should Know About Floating-Point Arithmetic
april 2008 by jtth
This paper presents a tutorial on those aspects of floating-point that have a direct impact on designers of computer systems. It begins with background on floating-point representation and rounding error, continues with a discussion of the IEEE floating-p
programming
floating-point
reference
floating
point
cs
math
computing
computerscience
academic
development
documentation
document
engineering
optimization
numerical
numbers
number
model
mathematics
manual
science
sun
statistics
technology
theory
useful
april 2008 by jtth
Welcome to Cogprints - Cogprints
psychology science cognition linguistics RESEARCH philosophy reference academic aggregator ai anthropology archive article articles biology artificial books brain cognitive cognitivescience cogsci computer computerscience consciousness culture database mathematics logic list repository resource publishing learning compsci library Languages language perception papers knowledge paper intelligence journal paleontology open_access imported imaging open neuroscience great genetics vision thinking web study evolution free neuropsychology speech source neurology electronic social search neuralnetworks download neural robotics document docs mind databases medicine resources
february 2008 by jtth
psychology science cognition linguistics RESEARCH philosophy reference academic aggregator ai anthropology archive article articles biology artificial books brain cognitive cognitivescience cogsci computer computerscience consciousness culture database mathematics logic list repository resource publishing learning compsci library Languages language perception papers knowledge paper intelligence journal paleontology open_access imported imaging open neuroscience great genetics vision thinking web study evolution free neuropsychology speech source neurology electronic social search neuralnetworks download neural robotics document docs mind databases medicine resources
february 2008 by jtth
NetworkX
python graph visualization network programming library opensource algorithms analysis api code complex computer computerscience framework freeware graphic graphics graphing image graphs interesting research reference science networks modeling computing networking visual useful theory mathematics links statistics tech trace software libraries layout
february 2008 by jtth
python graph visualization network programming library opensource algorithms analysis api code complex computer computerscience framework freeware graphic graphics graphing image graphs interesting research reference science networks modeling computing networking visual useful theory mathematics links statistics tech trace software libraries layout
february 2008 by jtth
SAGE: Open Source Mathematics Software
december 2007 by jtth
"Building the Car Instead of Reinventing the Wheel"
math
python
software
opensource
programming
tools
Mathematics
december 2007 by jtth
Sparkline PHP Graphing Library
december 2007 by jtth
Sparklines are "intense, simple, wordlike graphics" so named by Edward Tufte. In lieu of a more detailed introduction, Professor Tufte's site has an early release of a chapter on sparklines.
php
sparklines
visualization
graphics
programming
tufte
web
utilities
usability
webdev
website
tool
analysis
communication
cool
informatics
mathematics
math
methods
plugins
presentation
services
scripting
script
december 2007 by jtth
Documentation -
october 2007 by jtth
This is an official center for all documentation to NumPy and SciPy.
api
code
docs
library
mathematics
python
reference
research
statistics
science
tutorial
documentation
numpy
scipy
october 2007 by jtth
The On-Line Encyclopedia of Integer Sequences
academic algorithm algorithms analysis archive code computers cool cs directory education math reference sequences mathematics encyclopedia search tools resources resource research maths nerd number numbers pattern programming patterns theory systems study series
september 2007 by jtth
academic algorithm algorithms analysis archive code computers cool cs directory education math reference sequences mathematics encyclopedia search tools resources resource research maths nerd number numbers pattern programming patterns theory systems study series
september 2007 by jtth
[ wu :: riddles(intro) ]
september 2007 by jtth
WELCOME to [wu:riddles]! This is an archive of problems I've been collecting since the Spring of 2002. They come from many places, including word of mouth, college courses, books, and job interviews for hi-tech positions. Many are even written by members
puzzles
riddles
logic
math
games
fun
puzzle
technical
resources
mind
problem
problems
language
library
lists
gallery
enigma
computing
algorithms
brain
Geek
reference
mathematics
september 2007 by jtth
SciPy -
september 2007 by jtth
SciPy (pronounced "Sigh Pie") is open-source software for mathematics, science, and engineering. It is also the name of a very popular conference on scientific programming with Python.
academia
application
code
coding
compsci
computation
computer
computers
computing
cs
lab
graphing
graphic
graph
freeware
free
framework
extension
engineering
developer
language
libraries
library
math
mathematics
maths
matrix
modeling
number
numbers
open
open-source
opensource
optimization
oss
package
plot
programming
python
research
resources
science
scientific
visualization
work
scripting
software
source
statistic
statistics
stats
tutorials
tools
september 2007 by jtth
NPR: A Four-Dimensional Tribute to the Late Madeleine L'Engle
september 2007 by jtth
An actual tesseract is best described as a four dimensional cube...and is kind of confusing. So, in memory of L'Engle, we met up with Physicist David Morgan who took a little time out of his day to talk tesseracts with the BPP. Put your measley three-dime
tesseract
science
books
physics
video
education
geometry
4d
dimensions
layman
mathematics
math
literature
september 2007 by jtth
R: Statistical Software for Psychology Research
september 2007 by jtth
Doing psychology research in R. Insane amount of material here. Insane.
r
howto
guide
tutorial
statistics
stats
math
maths
mathematics
introduction
intro
graph
graphing
graphics
information
reference
research
september 2007 by jtth
Best Free Documentaries: Dangerous Knowledge - Full Documentary
september 2007 by jtth
In this one-off documentary, David Malone looks at four brilliant mathematicians - Georg Cantor, Ludwig Boltzmann, Kurt Gödel and Alan ... all » Turing - whose genius has profoundly affected us, but which tragically drove them insane and eventually led
blog
computers
brain
video
math
documentary
mathematics
science
documentaries
free
history
september 2007 by jtth
Classic Fallacies -- 1=2: A Proof using Complex Numbers
july 2007 by jtth
Heh. Cool proof with fallacies.
math
mathematics
complex
number
numbers
july 2007 by jtth
The Countless Achievements of a Math Master - washingtonpost.com
june 2007 by jtth
f one is not a mathematician (and except for a few of you out there, who is?), it's going to be impossible to actually understand why Euler was such a great man. Other people will have to tell us, and we should probably believe them.
euler
science
mathematics
math
maths
achievement
biography
june 2007 by jtth
AIM math: Representations of E8
march 2007 by jtth
An overview of E8 and its impact.
e8
math
mathematics
maths
system
symmetry
248
dimensional
lie
group
march 2007 by jtth
Calculus Animations
march 2007 by jtth
A collection of various animations depicting various concepts of calculus.
calculus
animation
mathematica
math
mathematics
learning
learn
march 2007 by jtth
Tupper's Self-Referential Formula -- from Wolfram MathWorld
march 2007 by jtth
Some math shit I don't understand.
math
mathematics
formula
self-referential
self
reference
march 2007 by jtth
Khan Amore’s Commentary on the Divine Proportion or Golden Section
march 2007 by jtth
A mathematically perfect woman.
golden
ratio
mathematics
math
perfect
woman
girl
sex
march 2007 by jtth
What's Special About This Number?
february 2007 by jtth
A huge list of the importance of numbers from 0 to 9999.
number
numbers
math
mathematics
list
february 2007 by jtth
Lists of unsolved problems - Wikipedia, the free encyclopedia
february 2007 by jtth
A list of important unsolved problems in many sciences.
list
unsolved
wikipedia
biology
chemistry
cognitive
science
computer
economics
egyptology
linguistics
mathematics
math
medicine
neuroscience
cogsci
philosophy
physics
february 2007 by jtth
Imagining the Tenth Dimension - A Book by Rob Bryanton
july 2006 by jtth
A mind-bending journing into m-theory, string theory, and a good visual primer into dimensionality.
animation
awesome
book
cool
flash
fun
Geek
humor
funny
interesting
math
image
mathematics
maths
philosophy
reference
physics
relativity
science
space
time
videos
visualization
weird
july 2006 by jtth
Knit Theory - - science news articles online technology magazine articles Knit Theory
june 2006 by jtth
Crocheting in hyperbolic space!
science
math
knitting
art
interesting
fun
magazine
article
mathematics
read
june 2006 by jtth
related tags
3d ⊕ 4d ⊕ academia ⊕ academic ⊕ achievement ⊕ activism ⊕ aggregator ⊕ ai ⊕ algebra ⊕ algorithm ⊕ algorithms ⊕ analysis ⊕ animate ⊕ animated ⊕ animation ⊕ ann ⊕ answers ⊕ anthropology ⊕ api ⊕ applet ⊕ applets ⊕ application ⊕ architecture ⊕ archive ⊕ arithmetic ⊕ art ⊕ article ⊕ articles ⊕ artificial ⊕ awesome ⊕ backpropagation ⊕ basteln ⊕ bbc ⊕ biography ⊕ biology ⊕ blog ⊕ book ⊕ books ⊕ brain ⊕ business ⊕ C ⊕ c++ ⊕ calculator ⊕ calculus ⊕ cas ⊕ cheatsheet ⊕ chemistry ⊕ code ⊕ coding ⊕ cognition ⊕ cognitive ⊕ cognitivescience ⊕ cogsci ⊕ collaboration ⊕ collaborative ⊕ communication ⊕ communities ⊕ community ⊕ complex ⊕ complexity ⊕ compsci ⊕ computation ⊕ computer ⊕ computers ⊕ computerscience ⊕ computer_science ⊕ computing ⊕ conjecture ⊕ consciousness ⊕ cool ⊕ cosmology ⊕ creativity ⊕ crowdsourcing ⊕ crypto ⊕ cryptography ⊕ cs ⊕ cube ⊕ culture ⊕ daily ⊕ database ⊕ databases ⊕ datamining ⊕ debian ⊕ decryption ⊕ design ⊕ developer ⊕ development ⊕ dimension ⊕ dimensional ⊕ dimensionality ⊕ dimensions ⊕ directory ⊕ discover ⊕ distribution ⊕ DIY ⊕ docs ⊕ document ⊕ documentaries ⊕ documentary ⊕ documentation ⊕ download ⊕ droste ⊕ e8 ⊕ economics ⊕ education ⊕ egyptology ⊕ electronic ⊕ encryption ⊕ encyclopedia ⊕ engineering ⊕ english ⊕ enigma ⊕ euclid ⊕ euler ⊕ evolution ⊕ extension ⊕ feynman ⊕ flash ⊕ floating ⊕ floating-point ⊕ folding ⊕ format ⊕ formula ⊕ forum ⊕ fractal ⊕ fractals ⊕ framework ⊕ free ⊕ freeware ⊕ fun ⊕ funny ⊕ gallery ⊕ games ⊕ Geek ⊕ genetics ⊕ geometry ⊕ german ⊕ girl ⊕ goldbach ⊕ goldbachconjecture ⊕ golden ⊕ gp ⊕ graph ⊕ graphic ⊕ graphics ⊕ graphing ⊕ graphs ⊕ great ⊕ group ⊕ guide ⊕ history ⊕ home ⊕ howto ⊕ humor ⊕ hypercube ⊕ hyperspace ⊕ icons ⊕ illusion ⊕ illusions ⊕ image ⊕ images ⊕ imaging ⊕ imported ⊕ info ⊕ informatics ⊕ information ⊕ Inspiration ⊕ integrals ⊕ intelligence ⊕ interesting ⊕ interview ⊕ interviews ⊕ intro ⊕ introduction ⊕ jason ⊕ java ⊕ journal ⊕ kids ⊕ knitting ⊕ knowledge ⊕ lab ⊕ labs ⊕ language ⊕ Languages ⊕ layman ⊕ layout ⊕ learn ⊕ learning ⊕ lectures ⊕ libraries ⊕ library ⊕ lie ⊕ life ⊕ linear ⊕ linearalgebra ⊕ linguistics ⊕ links ⊕ linux ⊕ list ⊕ lists ⊕ literature ⊕ logic ⊕ machine-learning ⊕ machinelearning ⊕ magazine ⊕ mandelbrot ⊕ manual ⊕ matematica ⊕ math ⊕ mathematica ⊕ mathematical ⊕ mathematics ⊖ mathematik ⊕ mathoverflow ⊕ maths ⊕ matlab ⊕ matrix ⊕ medicine ⊕ methods ⊕ mind ⊕ misc ⊕ mit ⊕ model ⊕ modeling ⊕ nanotech ⊕ nanotechnology ⊕ nerd ⊕ network ⊕ networking ⊕ networks ⊕ neural ⊕ neuralnetworks ⊕ neurology ⊕ neuropsychology ⊕ neuroscience ⊕ nn ⊕ notation ⊕ np ⊕ np-complete ⊕ number ⊕ number-theory ⊕ numbers ⊕ numbertheory ⊕ number_theory ⊕ numerical ⊕ numpy ⊕ octave ⊕ open ⊕ open-source ⊕ opensource ⊕ open_access ⊕ optical ⊕ optimization ⊕ oss ⊕ overflow ⊕ package ⊕ paleontology ⊕ paper ⊕ papercraft ⊕ papers ⊕ pari-gp ⊕ pattern ⊕ patterns ⊕ perception ⊕ perfect ⊕ philosophy ⊕ photo ⊕ photography ⊕ php ⊕ physics ⊕ planetmath ⊕ plot ⊕ plugins ⊕ point ⊕ politics ⊕ portal ⊕ presentation ⊕ prime ⊕ primes ⊕ problem ⊕ problems ⊕ program ⊕ programming ⊕ projection ⊕ proof ⊕ psychology ⊕ publishing ⊕ puzzle ⊕ puzzles ⊕ python ⊕ quantum ⊕ questions ⊕ r ⊕ ratio ⊕ read ⊕ reality ⊕ reference ⊕ relativity ⊕ repository ⊕ research ⊕ resource ⊕ resources ⊕ riddles ⊕ robotics ⊕ rsa ⊕ sc ⊕ school ⊕ science ⊕ scientific ⊕ scipy ⊕ script ⊕ scripting ⊕ search ⊕ self ⊕ self-referential ⊕ semiotics ⊕ sequences ⊕ series ⊕ service ⊕ services ⊕ sex ⊕ social ⊕ socialnetworking ⊕ society ⊕ software ⊕ source ⊕ space ⊕ sparklines ⊕ speech ⊕ spiele ⊕ spirals ⊕ stackoverflow ⊕ statistic ⊕ statistics ⊕ stats ⊕ stereoscopic ⊕ Story ⊕ string ⊕ study ⊕ sun ⊕ symbols ⊕ symmetry ⊕ sympy ⊕ system ⊕ systems ⊕ tech ⊕ technical ⊕ technology ⊕ tegmark ⊕ template ⊕ templates ⊕ tesseract ⊕ theory ⊕ thinking ⊕ time ⊕ tool ⊕ tools ⊕ toys ⊕ trace ⊕ tufte ⊕ tutorial ⊕ tutorials ⊕ Typography ⊕ universe ⊕ unsolved ⊕ usability ⊕ useful ⊕ utilities ⊕ utility ⊕ video ⊕ videos ⊕ vision ⊕ visual ⊕ visualization ⊕ web ⊕ webdev ⊕ website ⊕ weird ⊕ wiki ⊕ wikibook ⊕ wikipedia ⊕ wolfram ⊕ woman ⊕ work ⊕ zipf ⊕ zipfslaw ⊕Copy this bookmark: