ShareBookFree.com – Free eBooks Download Nick's Mathematical Puzzles Welcome to my selection of mathematical puzzles. What's new? See puzzle 160. The math puzzles presented here are selected for the deceptive simplicity of their statement, or the elegance of their solution. They range over geometry, probability, number theory, algebra, calculus, trigonometry, and logic. All require a certain ingenuity, but usually only pre-college math. Explaining how an answer is arrived at is more important than the answer itself. Each puzzle is assigned a level of difficulty of between one and four stars, with four being the most difficult. The source for each problem is given at the bottom of the solution page. I welcome feedback of any kind. Some brief biographical information. Nick Back to top
100 Incredible Lectures from the World's Top Scientists Posted on Thursday June 18, 2009 by Staff Writers By Sarah Russel Unless you’re enrolled at one of the best online colleges or are an elite member of the science and engineering inner circle, you’re probably left out of most of the exciting research explored by the world’s greatest scientists. But thanks to the Internet and the generosity of many universities and online colleges, you’ve now got access to the cutting edge theories and projects that are changing the world in this list below. If you’re looking for even more amazing lectures, check out our updated list for 2012 with more talks from great minds. General Let the world’s top scientists explain exactly how they do their job when you listen to these lectures. Science and Engineering From materials science to the study of thermodynamics, learn more about the science of engineering here. WTC Lecture – collapse of WTC Buildings: Steven E. Biology and Medicine Chemistry Physics and Astronomy Earth and Environment Technology Science and Business
How Mathematics Can Make Smart People Dumb - Ben O'Neill Mathematics can sometimes make smart people dumb. Let me explain what I mean by this. I don't mean that it is dumb not to be good at mathematics. The danger of mathematical arguments is that a person can sometimes follow an absurd path of reasoning without being alerted to its absurdity, due to the fact that their mind is so lost in the verbiage of mathematical equations that their common sense fails to penetrate it. One of the most common errors in applied mathematical analysis is to fail to notice when a mathematical argument proves too much. An Example of Applied Mathematics Going Horribly Wrong Let me give you an example of this phenomenon in action. The "Say Yes" rally to support a proposed carbon-dioxide-emissions tax (June 5, 2011, Sydney, Australia)[3] To those readers who have not studied neoclassical microeconomics, this is probably just a big bunch of gibberish. This is a classic example of a mathematical analysis that proves too much. But wait a minute. See a problem? Notes
How to Win Friends and Influence People Six Ways To Make People Like You Become genuinely interested in other people.Smile. Remember that a man's name is to him the sweetest and most important sound in the English language. Be a good listener. Encourage others to talk about themselves. Twelve Ways Of Winning People To Your Way Of Thinking The only way to get the best of an argument is to avoid it. Nine Ways To Change People Without Giving Offense Or Arousing Resentment Begin with praise and honest appreciation. Fourteen Rules For Making Your Home Life Easier Don't nag. Notes Criticism is futile because it puts a man on the defensive, and usually makes him strive to justify himself. When dealing with people, let us remember we are not dealing with creatures of logic. The deepest urge in human nature is the desire to be important. Almost Everybody Wants... Health and the preservation of life. “Every man is my superior in some way. To make a woman fall in love with you, all you have to do is to talk to her about herself! Raised Rent
Open Culture Mysterious number 6174 March 2006 Anyone can uncover the mystery The number 6174 is a really mysterious number. At first glance, it might not seem so obvious. But as we are about to see, anyone who can subtract can uncover the mystery that makes 6174 so special. Kaprekar's operation In 1949 the mathematician D. It is a simple operation, but Kaprekar discovered it led to a surprising result. When we reach 6174 the operation repeats itself, returning 6174 every time. We reached 6174 again! A very mysterious number... When we started with 2005 the process reached 6174 in seven steps, and for 1789 in three steps. Only 6174? The digits of any four digit number can be arranged into a maximum number by putting the digits in descending order, and a minimum number by putting them in ascending order. 9 ≥ a ≥ b ≥ c ≥ d ≥ 0 and a, b, c, d are not all the same digit, the maximum number is abcd and the minimum is dcba. which gives the relations for those numbers where a>b>c>d. For three digit numbers the same phenomenon occurs. and
Einstein for Everyone Einstein for Everyone Nullarbor Press 2007revisions 2008, 2010, 2011, 2012, 2013 Copyright 2007, 2008, 2010, 2011, 2012, 2013 John D. Norton Published by Nullarbor Press, 500 Fifth Avenue, Pittsburgh, Pennsylvania 15260 with offices in Liberty Ave., Pittsburgh, Pennsylvania, 15222 All Rights Reserved John D. An advanced sequel is planned in this series:Einstein for Almost Everyone 2 4 6 8 9 7 5 3 1 ePrinted in the United States of America no trees were harmed web*bookTM This book is a continuing work in progress. January 1, 2015. Preface For over a decade I have taught an introductory, undergraduate class, "Einstein for Everyone," at the University of Pittsburgh to anyone interested enough to walk through door. With each new offering of the course, I had the chance to find out what content worked and which of my ever so clever pedagogical inventions were failures. At the same time, my lecture notes have evolved. This text owes a lot to many. i i i
Game Theory 101: Game Theory Made Easy Electricity & Magnetism - Download free content from MIT Free eBooks at Planet eBook - 80+ Classic Novels and Literature 100 Incredible Open Lectures for Math Geeks While many math geeks out there may have been teased for their love of numbers, it’s math that makes the world go round, defining everything from the economy to how the universe itself operates. You can indulge your love of mathematics in these great lectures and lecture series, which are a great diversion for those diligently working toward traditional or online master’s degree programs in mathematics. Some are meant to review the basics and others will keep you on the cutting edge of what renowned researchers are doing in the field, but all will help you expand your knowledge and spend a few hours enjoying a topic you love. Basic Math These lectures cover some pretty basic mathematical issues that can be a great review or help younger math lovers get a handle on a subject. Metric Conversions: This lecture will teach you the formulas you need to switch between metric and English units. Calculus Algebra In these lectures you’ll learn about a wide range of topics in algebra. Geometry Physics
A Visual, Intuitive Guide to Imaginary Numbers Imaginary numbers always confused me. Like understanding e, most explanations fell into one of two categories: It’s a mathematical abstraction, and the equations work out. Deal with it.It’s used in advanced physics, trust us. Gee, what a great way to encourage math in kids! Focusing on relationships, not mechanical formulas.Seeing complex numbers as an upgrade to our number system, just like zero, decimals and negatives were.Using visual diagrams, not just text, to understand the idea. And our secret weapon: learning by analogy. It doesn’t make sense yet, but hang in there. Video Walkthrough: Really Understanding Negative Numbers Negative numbers aren’t easy. But what about 3-4? Negatives were considered absurd, something that “darkened the very whole doctrines of the equations” (Francis Maseres, 1759). What happened? Rather than saying “I owe you 30” and reading words to see if I’m up or down, I can write “-30” and know it means I’m in the hole. Enter Imaginary Numbers Uh oh. Wrong. or Ok.