PPT-SOME FIBONACCI SURPRISES

The Power of Visualization James Tanton MAA MathematicianatLarge t antonmathgmailcom Curriculum Inspirations wwwmaaorgci Mathematical Stuff wwwjamestantoncom Mathematical Courses . Bazerman. Presented by: Steven . Leibovitz. Predictable Surprises: The Disasters You Should Have Seen Coming. . Michael D. Watkins. Professor of General Management at IMD. Co-founder of Genesis Advisers. Dr. Cynthia Bailey Lee. Dr. . Shachar. Lovett. .  .                          . Peer Instruction in Discrete Mathematics by . Cynthia . Lee. is. licensed under a . Creative Commons Attribution-. By Andréa . Rivard. Leonardo Fibonacci . Born in Italy c.1170. Arabic numerals, algorithms and algebraic methods, and a facility in fractions. Fibonacci Sequence. Discovered it by studying rabbit . regeneration. Kristijan Štefanec. The golden ratio. Also called. φ. Two quantities a and b are said to be in golden ratio if = =. φ. The second definition of . φ. is: . φ. -1=. From this one, we can easily calculate . b.wikkerink@csgliudger.nl. Programming. a strategy game. What. we do:.  . Explore a game.  . Use mathematics to find a winning strategy.  . Make a program in TI-Basic. But first . ….  . Charlotte Kiang. May 16, 2012. About me. My name is Charlotte Kiang, and I am a junior at Wellesley College, majoring in math and computer science with a focus on engineering applications.. What I hope to accomplish today. What are the Fibonacci numbers?. The Fibonacci sequence is a recursively defined sequence where,. F. 1 . = 1 and F. 2 . = 1 . F. n . = F. n-1. F. n-2 . where n>2. {1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,...}. People vs. Situation Problems. Three Surprises About Change. Three Surprises About Change. Three Surprises About Change. Three Surprises About Change. Three Surprises About Change. Three Surprises About Change. 1175 – 1250 AD. Best remembered for a problem he posed in Liber Abaci dealing with RABBITS!. The Rabbit Problem. At 2 months, the rabbits can reproduce a pair of bunnies. . How many pairs at k months?. Math 2700. Spring 2010. History of the Fibonacci Sequence. From . Fibonacci’s. . Liber. Abaci. , Chapter 12. . How Many Pairs of Rabbits Are Created by One Pair in One Year. . . A certain man had one pair of rabbits together in a certain enclosed place, and one wishes to know how many are created from the pair in one year when it is the nature of them in a single month to bear another pair, and in the second month those born to bear also.. recurrences. Lecture 27. CS2110 – Fall 2018. Fibonacci. (Leonardo Pisano) 1170-1240?. Statue in Pisa Italy. Announcements. A7: NO LATE DAYS. No need to put in time and comments. We have to grade quickly. No regrade requests for A7. Grade based only on your score on a bunch of sewer systems.. Lecture #11 : Recursion II. Instructor : Sean Morris. Security Flaws in your OS. http://. www.nytimes.com. /2013/07/14/world/. europe. /. nations-buying-as-hackers-sell-computer-flaws.html?pagewanted. Bracketing Bracketing Identifying an interval containing a local minimum and then successively shrinking that interval 2 Unimodality There exists a unique optimizer x * such that f is monotonically decreasing for Maths. in Nature. Patterns in nature. are visible regularities of form found in the natural world. These . patterns. recur in different contexts and are . modelled. mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, arrays, cracks and stripes. Early Greek philosophers studied these patterns, with .