PPT-Fibonacci

Numbers Damian Gordon Fibonacci Numbers Fibonacci Numbers As seen in the Da Vinci Code Fibonacci Numbers The Fibonacci numbers are numbers where the next number in the sequence is the sum of the previous two. 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. DOTS AND DASHES. James . Tanton. MAA Mathematician-at-Large. jtanton@maa.org. Curriculum Inspirations: . www.maa.org/ci. Mathematical Stuff: . www.jamestanton.com. Mathematical Courses: . www.gdaymath.com. The Power of Visualization. James . Tanton. MAA Mathematician-at-Large. t. anton.math@gmail.com. . Curriculum Inspirations: . www.maa.org/ci. Mathematical Stuff: . www.jamestanton.com. Mathematical Courses: . 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 . data compression codes. І. gor. . Zavadskyi, Anatoly . Anisimov. Taras. Shevchenko National University of Kyiv, Ukraine. Data compression codes. Huffman. Arithmetic. Finite state entropy. Tagged Huffman. 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. Emma Stephens, Charlotte Evans, Kenneth Mcilree, Lisa Yuan. What are the Fibonacci numbers?. The Fibonacci sequence is a recursively defined sequence where,. F. 1 . = 1 and F. 2 . = 1 . 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.. 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 . Introduction to Excel. http://fairway.ecn.purdue.edu/~. step/class_material. Nomenclature. Address. Formula Bar. Row. Cell. Worksheet. Column. Formulas. Excel is a powerful program for performing complex calculations.. . What is mathematics?. Formal system of thought for recognizing, classifying, and exploiting patterns. The origins of counting. Geometric patterns. Wave patterns in water and on land. Patterns of movement.