Math
Get flash to fully experience Pearltrees
links collection ver. 20070525 Links to resources in Russian 1. Algorithms and Computational Math Undergraduate and Introductory Graduate Courses on Algorithms links by Kirk Pruhs A Computational Introduction to Number Theory and Algebra by Victor Shoup
Free e-books and e-lectures on Algorithms, Math, and Cryptography
Calculus - Exampleproblems
From Exampleproblems I recommend this book: A Course of Modern Analysis by Whittaker and Watson. You may also find this book at Google Books .
The momentum representation
Next: The uncertainty principle Up: Fundamentals of quantum mechanics Previous: Operators Contents Fourier's theorerm (see Sect. 3.9 ), applied to wave-functions, yields where represents wave-number. However,How to Calculate a Square Root by Hand: 21 steps (with pictures)
Edit Edited by NatK, Maluniu, Luís Miguel Armendáriz, Webster and 38 others There are several ways to calculate the square root of a number by hand. While some methods will only give you an approximation, this method calculates the square root digit by digit using only simple operations. Edit Steps Calculator
The Fourier Transform is one of deepest insights ever made. Unfortunately, the meaning is buried within dense equations: Yikes. Rather than deciphering it symbol-by-symbol, let's experience the idea. Here's a plain-English metaphor: What does the Fourier Transform do?
An Interactive Guide To The Fourier Transform
How are mathematics connected and applied to physics, engineering problem solving and computer technology ? Below are links to some of these problems and topics. Mathematics Applied to Physics and Engineering Applications and Use of the Inverse Functions . Examples on how to aplly and use inverse functions in real life situations and solve problems in mathematics. Maximize Volume of a Box .
Mathematics Applied to Physics/Engineering
Why Does e^(pi i) + 1 = 0?
This page is just a collection of a couple of answers on the LiveJournal Mathematics Community in a thread about e πi + 1 = 0 . Soon, I will whip them into a more coherent form. In collegiate calculus, you probably learned about something called Taylor series. You can use Taylor series to make polynomial approximations of infinitely-differentiable functions. If you take the Taylor series out infinitely, you actually have the function. The general form for a Taylor series is this:
Demystifying the Natural Logarithm (ln)
After understanding the exponential function our next target is the natural logarithm. Given how the natural log is described in math books, there’s little “natural” about it: it’s defined as the inverse of e^x, a strange enough exponent already. But there’s a fresh, intuitive explanation: The natural log gives you the time needed to reach a certain level of growth . Suppose you have an investment in gummy bears (who doesn’t?)
Two by Two
Essentially the technique converts the first factor into binary, multiplies each of its constituents by the second factor, and sums the results. Imagine that each line is associated with a power of 2: the first line with 2 0 , the second with 2 1 ,and so on. The business in the first column, halving the first factor successively and crossing out those lines with even numbers, effectively reduces the first factor to its binary constituents — here, the lines that remain are those associated with 2 0 , 2 5 , and 2 6 , and, sure enough, 2 0 + 2 5 + 2 6 = 97.
The Thirty Greatest Mathematicians
This is primarily a list of Greatest Mathematicians of the Past , but I use 1930 birth as an arbitrary cutoff, and three of the "Top 100" are still alive as I write. Click for a discussion of certain omissions . Please send me e-mail if you believe there's a major flaw in my rankings (or an error in any of the biographies). Obviously the relative ranks of, say Fibonacci and Ramanujan, will never satisfy everyone since the reasons for their "greatness" are different.
First impressions are everything. How you look and how you present yourself can determine how you are perceived. The same goes for our design work. The impression that our work gives depends on a myriad of different factors. One of the most important factors of any design is color. Color reflects the mood of a design and can invoke emotions, feelings, and even memories.
Color Theory 101
Euler's identity seems baffling: It emerges from a more general formula: Yowza -- we're relating an imaginary exponent to sine and cosine! And somehow plugging in pi gives -1? Could this ever be intuitive?
Intuitive Understanding Of Euler’s Formula
Geometry
T he word geometry is Greek for geos - meaning earth and metron - meaning measure. Geometry was extremely important to ancient societies and was used for surveying, astronomy, navigation, and building. Geometry, as we know it is actually known as Euclidean geometry which was written well over 2000 years ago in Ancient Greece by Euclid, Pythagoras, Thales, Plato and Aristotle just to mention a few. The most fascinating and accurate geometry text was written by Euclid, and was called Elements. Euclid's text has been used for over 2000 years!MeFites: Share with me your favorite math tricks, truisms and formulas that clarified and simplified math problems and made life easier in high school and college. It can be about algebra, fractions, ratios and proportions, percentages - what have you. If it relates to business math, all the better, since that's what I'm currently taking.
What are the best rules, formulas and tricks in math? - math formulas rules
“For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art.” - M.C. Escher Contents Page 1 Introduction The Art of Alhambra Our Area of Focus Our Aim Page 2 The Principals behind Tessellations - Translation - Rotation - Reflection - Glide Reflection