Calculus. Since 2008, Academic Earth has worked diligently to compile an ever-growing collection of online college courses, made available free of charge, from some of the most respected universities.

We proudly build on the precedent set forth by MIT OpenCourseware, believing that everyone deserves access to a world-class education. To facilitate this goal, we have curated links to over 750 online courses and 8,500 individual online lectures, giving students of all ages unparalleled access to college courses they may otherwise never experience. Whether supplementing existing coursework, or learning for the sake of learning, anyone with an internet connection has the freedom to learn at their own pace from world-renowned experts, without the burden of rising tuition costs. Free e-books and e-lectures on Algorithms, Math, and Cryptography. 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. 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) Edit Article CalculatorUsing Prime FactorizationFinding Square Roots Manually Edited by NatK, Maluniu, Luís Miguel Armendáriz, Webster and 44 others In the days before calculators, students and professors alike had to calculate square roots by hand.

Several different methods have evolved for tackling this daunting process, some giving a rough approximation, others giving an exact value. To learn how to find a number's square root using only simple operations, see Step 1 below to get started. Free Maths Video Lecture courses. Touch Mathematics. Mathematics reference: Rules for differentiation. An Interactive Guide To The Fourier Transform.

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. Mathematics Applied to Physics/Engineering. 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 apply and use inverse functions in real life situations and solve problems in mathematics. Maximize Volume of a Box. 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. Untitled. 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.

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. Color Theory 101. 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. Weekly wanderings through higher math—from not so high a vantage point. Calculus. Intuitive Understanding Of Euler’s Formula. 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? 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. GEM1518K - Mathematics in Art & Architecture - Project Submission. “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. Learning Calculus: Overcoming Our Artificial Need for Precision. Geometry Help. No, really, pi is wrong: The Tau Manifesto by Michael Hartl. Elementary Calculus: Example 3: Inscribing a Cylinder Into a Sphere. Algebra Help Math Sheet. Pascal's Triangle. Calculus and Differential Equations. A Gentle Introduction To Learning Calculus. Reflections on Relativity. Mathematics Department - Mathematics Web Sites. Maths Online Courses.

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