Calculus - Academic Earth
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
Mathematics for Computer Science | Electrical Engineering and Computer Science
Math21b, Fall 2003, Linear Algebra and Differential Equations
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.
Math Help - SolveMyMath
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) Moving the decimal point by increment of two digit in a number (factor of 100), moves the decimal point by increments of one digit in its square root (factor of 10).This method works for any base, not just in base 10 (decimal).Feel free to present the calculus anyway you are more comfortable with. Some people write the result above the starting number.An alternative method using continued fractions can be found at http://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Generalized_continued_fraction: √z = √(x^2+y) = x + y/(2x + y/(2x + y/(2x + ...))). For example, to calculate the square root of 780.14, the integer whose square is closest to 780.14 is 28, so z=780.14, x=28, and y=-3.86. Plugging in and carrying the estimation to just x + y/(2x) already yields (in lowest terms) 78207/2800 or about 27.931(1); the next term, 4374188/156607 or about 27.930986(5). Each term adds nearly 3 decimals of precision to the previous.
Mathematics reference: Rules for differentiation
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?
Pauls Online Math Notes
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 eπi + 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:
Graduate Program in Mathematics, Study guides for Comp Exams, University of Illinois at Urbana-Champaign
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?)
Main Page - Exampleproblems
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 20, the second with 21,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 20, 25, and 26, and, sure enough, 20 + 25 + 26 = 97.
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.
Three-Cornered Things | Weekly wanderings through higher math—from not so high a vantage point.
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 The 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!
Calculus Derivatives Cheat Sheet
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 GEM1518K - Mathematics in Art & Architecture - Project Submission
Learning Calculus: Overcoming Our Artificial Need for Precision
Geometry Help (with worked solutions & videos)
Elementary Calculus: Example 3: Inscribing a Cylinder Into a Sphere
Algebra Help Math Sheet
Calculus and Differential Equations
A Gentle Introduction To Learning Calculus
Reflections on Relativity
Mathematics Department - Mathematics Web Sites
Maths Online Courses
English names of the first 10000 powers of 10 - American System without dashes
Mathematics Department : Mathematics Courses
The Math Guy
Undergraduate contest problems and solutions
Foundations of Mathematics
Piety within Progression
Tutorials related to Kinematic Mechanisms