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Fibonacci The Man of Numbers

This the power point presentation I made and used for my presentation in History of Math. Pardon me for not being able to cite ALL of my references through out the presentation. (one day I will). It is not detailed and perfect, but I am hoping that in a way, it may help you a hint on where to start to study about him and his works.

Information known about his life and SOME of his contributions will be found in this books. I merely focused on his first book, liber abbaci, so if you wish to see more of his contributions, look out for his other writings. (there are lots of articles online about him, just look for them and read them)

Fibonacci, the most famous mathematician from Pisa, Italy during the medieval period, is the man behind the fibonacci sequence and the popularization of the Hindu-Arabic Numeral System to Europe. Learn some things about him and his contributions through this.

Thank you :)

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Fibonacci The Man of Numbers

  1. 1. ORIGINAL TOPIC TITLE: FIBONACCI NUMBERS & Hindu–Arabic numeral system to EUROPE PRESENTATION BY: CHARLENE GRACE A. MILLANO II – 18 BME
  2. 2. NEW TOPIC TITLE: FIBONACCI The Man of Numbers
  3. 3. THROUGH OUT THE PRESENTATION, WE’LL TALK ABOUT THE FOLLOWING
  4. 4. CHOPPER’S ADVICE MUST: • LISTEN CAREFULLY & TAKE SOME NOTES MAY: • ASK QUESTIONS AT THE END OF THE DISCUSSION
  5. 5. LET’S GO STRAIGHT TO THE CONTENT! 
  6. 6. WHAT DO WE NEED TO KNOW ABOUT THE LIFE OF LEONARDO?
  7. 7. Little is known of his life, and no portrait exists. However, a statue of Fibonacci was erected by the citizens of Pisa. SOURCE: http://faculty.evansville.edu/ck6/bstud/fibo.html
  8. 8. his life is written in this story book, Blockhead. Did you notice that in the book, he’s called a block head?
  9. 9. ACTUALLY HE HAS LOTS OF NAMES  Fibonacci Leonardo of Pisa Leonardo Pisano Bigollo, Leonardo Fibonacci Leonardo Bonacci BUT WHEN HE WAS YOUNG, EVERYONE IN PISA (INCLUDING HIM) CALLED HIM AS “BLOCKHEAD” BIGOLLO – GOOD FOR NOTHING
  10. 10. Leonardo Fibonacci MATHEMATICIAN Born: c. 1170 Died: c. 1240 Birthplace: Pisa, Italy Best known as: The guy who brought the Hindu- Arabic number system to Europe SOURCE: http://www.infoplease.com/biography/var/leonardofibonacci.html TYPICAL BIOGRAPHY OF LEO
  11. 11. TYPICAL BIOGRAPHY OF LEO The mathematical writings of Fibonacci known to us and their dates are: Liber Abbaci (The Book of Calculation), 1202 (1228); Practica Geometriae (The Practice of Geometry), 1220; Liber Quadratorum (The Book of Square Numbers), 1225; Flos (The Flower), 1225; Letter to Master Theodore (cf. §3). SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  12. 12. A GLIMPSE TO LEO’S LIFE THROUGH LIBER ABBACI SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England “I joined my father after his assignment by his homeland Pisa as an officer in the customhouse located at Bugia for the Pisan merchants who were often there. He had me marvelously instructed in the Arabic-Hindu numerals and calculation. I enjoyed so much the instruction that I later continued to study mathematics while on business trips to Egypt, Syria, Greece, Sicily, and Provence and there enjoyed discussions and disputations with the scholars of those places. Returning to Pisa I composed this book of fifteen chapters which comprises what I feel is the best of the Hindu, Arabic, and Greek methods. I have included proofs to further the understanding of the reader and Italian people. If by chance I have omitted anything more or less proper or necessary, I beg forgiveness, since there is no one who is without fault and circumspect in all matters.” 1. He was educated in Bugia Africa (he had an Arab master) 2. He continued studying math around the world 3. He wrote in one book the best mathematical methods of different places/people
  13. 13. FROM THAT WE SAW: • personality • mathematical quality of his mind. • the intellectual curiosity and excitement • they leave us with a respect and warmth of feeling for the modest humility of the man. • "Leonardo's humility graces his genius" SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  14. 14. WHAT ARE HIS MAJOR CONTRIBUTIONS TO MATHEMATICS?
  15. 15. THE BOOKS  Liber Abbaci The Book of Calculation 1202 (1228) Practica Geometriae (The Practice of Geometry) 1220 Liber Quadratorum (The Book of Square Numbers) 1225 Flos (The Flower) 1225 Letter to Master Theodore
  16. 16. LIBER ABACI (BOOK OF CALCULATION) 1202 1. INTRODUCED HINDU-ARABIC NUMERAL SYSTEM TO EUROPE – A FEW INTELLECTUALS KNOW THE HINDU- ARABIC NUMERALS. (VIA al-Khwarizmi) • He started the second page of liber abaci with these words: “The nine Indian figures are :9 8 7 6 5 4 3 2 1, with these nine figures, and with the sign 0 ... any number may be written” SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  17. 17. CONTENTS OF LIBER ABACCI A - 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 B -PLACE VALUE C -USE OF NUMERALS IN ARITHMETIC OPERATIONS D -PRACTICAL APPLICATIONS Profit Margin, Barter, Money, Changing, Conversion of weights and measures, Partnerships, and interest. SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  18. 18. CONTENTS OF LIBER ABACCI E. PROPORTIONS - Rule of Three - Rule of Five - FINDING PROPORTIONS F. RULE OF FALSE POSITION G. EXTRACTION OF ROOTS H. PROPERTIES OF NUMBERS I. A LITTLE BIT OF GEOMTRY AND ALGEBRA SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  19. 19. CONTENTS OF LIBER ABACCI (HINDU-ARABIC NUMERAL SYSTEM) FACTS 1. Fibonacci writes out these operations in words or else illustrates his calculations with diagrams. 2. There being no algebraic symbolism available to him, Fibonacci uses res (thing) for the unknown x, and for x2 he write squadratus numerus (square number). SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  20. 20. CONTENTS OF LIBER ABACCI (HINDU-ARABIC NUMERAL SYSTEM) FACTS: 3. in 1299, Florentine merchants issued an ordinance prohibiting the use of Hindu-Arabic numerals SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  21. 21. CONTENTS OF LIBER ABACCI (HINDU-ARABIC NUMERAL SYSTEM) 4. We owe him the use of BAR on fractions. before Fibonacci Now 2 2 2 3 3 3 64 64 64 257 257 257 5 5 5 SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  22. 22. CONTENTS OF LIBER ABACCI (HINDU-ARABIC NUMERAL SYSTEM) 5. HE USES THE FOLLOWING: UNITS COMMON FRACTIONS SEXAGISIMAL FRACTIONS X Decimal Fractions SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  23. 23. CONTENTS OF LIBER ABACCI (HINDU-ARABIC NUMERAL SYSTEM) 6. APPROXIMATION OF SQUARE ROOTS SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  24. 24. CONTENTS OF LIBER ABACCI (THE FIBONACCI SEQUENCE) “If two new born rabbits are placed in a pen, how many rabbits will be there in one year?” SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  25. 25. CONTENTS OF LIBER ABACCI (THE FIBONACCI SEQUENCE) Assume that rabbits... -Can produce one male and one female. -Can produce once a month. -Can produce when they are one month old. -rabbits never die. SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England
  26. 26. RABBIT PROBLEM SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England Month 1 Pairs 1
  27. 27. RABBIT PROBLEM SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England Month 1 2 Pairs 1 1
  28. 28. RABBIT PROBLEM SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England Month 1 2 3 Pairs 1 1 2
  29. 29. RABBIT PROBLEM SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England Month 1 2 3 4 Pairs 1 1 2 3
  30. 30. RABBIT PROBLEM SOURCE: EIGHT HUNDRED YEARS YOUNG A. F. HORADAM Department of Mathematics University of New England Month 1 2 3 4 5 Pairs 1 1 2 3 5
  31. 31. RABBIT PROBLEM Month 1 2 3 4 5 6 7 8 9 10 Pairs 1 1 2 3 5 8 ? ? ? ?
  32. 32. RABBIT PROBLEM Month 1 2 3 4 5 6 7 8 9 10 Pairs 1 1 2 3 5 8 ? ? ? ?
  33. 33. FIBONACCI SEQUENCEThis lead to the number sequence which French number theorist Edouard Lucas named in 1870, the Fibonacci Sequence. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233… Definition: The Fibonacci Sequence is the series ofnumbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... The nextnumber is found by adding up the two numbersbefore it.
  34. 34. FIBONACCI SEQUENCE Since Fibonacci's time his sequence (which was not important to him) has generated nearly as many research papers as it has hypothetical rabbits!
  35. 35. RESEARCHES ON THE FIBONACCI SEQUENCE 1. FIBONACCI NUMBERS IN NATURE
  36. 36. RESEARCHES ON THE FIBONACCI SEQUENCE 1. FIBONACCI NUMBERS IN NATURE
  37. 37. RESEARCHES ON THE FIBONACCI SEQUENCE 2. FIBONACCI NUMBERS IN PASCAL’S TRIANGLE
  38. 38. RESEARCHES ON THE FIBONACCI SEQUENCE 2. FIBONACCI SEQUENCE & GOLDEN RATIO1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377… 1/1 1 2/1 2 3/2 1.5 5/3 1.666666667 13/8 1.6 21/13 1.625 34/21 1.615384615 55/34 1.619047619 89/55 1.617647059 144/89 1.618181818 233/144 1.617977528 377/233 1.618055556 DID YOU NOTICE WHERE THE QUOTIENT APPROACHES TO?
  39. 39. RESEARCHES ON THE FIBONACCI SEQUENCE 3. FIBONACCI SQUARES
  40. 40. RESEARCHES ON THE FIBONACCI SEQUENCE 4. GOLDEN SPIRAL
  41. 41. RESEARCHES ON THE FIBONACCI SEQUENCE INTRIGUING PROPERTIES OF THE FIBONACI NUMBERS •Any 2 consecutive Fibonacci numbers are relatively prime. •Summing together any 10 consecutive Fibonacci numbers will be divisible by 11 •Every third Fibonacci number is an even number •Many more.
  42. 42. HOW CAN WE INTEGRATE HIS CONTRIBUTIONS TO LEARNING & TEACHING MATHEMATICS?
  43. 43. INTEGRATION • BECED (Make a fictional story of numbers w/ are partly related to history. • GRADE 1-3 BRING THEM TO THE GARDEN, AND LET COUNT THE PETALS OF FLOWERS.
  44. 44. INTEGRATION • GRADE 4 Story telling : • GRADE 5 - 6 Photography with Fibonacci
  45. 45. INTEGRATION • GET PROBLEMS FROM FIBONACCI’S BOOK AND HAVE THE GRADES 7 – 12 ANSWER THEM FOR ASSIGNMENT / BONUS QUESTIONS.
  46. 46. WHAT ARE HIS PHILOSOPHIES THAT WE NEED TO LEARN SO THAT WE’LL FELL (MORE) IN LOVE TO MATHEMATICS??
  47. 47. THERE ARE THREE PHILOSOPHIES, WHOEVER EXPLAINS THE PHILOSPHY RIGHT (of course with relation to fibonacci), WILL GET A PRIZE.
  48. 48. 1. Be Curious and go out of your comfort zone SAIL AWAY FROM THE SAFE HARBOR, CATCH THE TRADE WINDS IN YOUR SAILS, EXPLORE, DREAM, DISCOVER
  49. 49. 2. Don’t keep the knowledge to yourself. “I have included proofs to further the understanding of the reader and Italian people.” – Leonardo , Liber Abaci
  50. 50. 3. Mathematics is Love.
  51. 51. 4. Today You may think that you are a nobody, but one day you’ll just see yourself, as a hero saving the day. LEONARDO CALLED HIMSELF AS A GOOD-FOR- NOTHING PERSON WHEN HE WAS YOUNG.
  52. 52. 5. Never let the persuit for knowlege come to an end. LEONARDO CALLED HIMSELF AS A GOOD-FOR- NOTHING PERSON WHEN HE WAS YOUNG.
  53. 53. LEONARDO DESERVE AN OSCAR FOR THESE!!!
  54. 54. REFERENCES: (to be pasted on the description box soon)
  • SasheyJeanBohol

    Jul. 12, 2018
  • rmiller5

    Mar. 13, 2017

This the power point presentation I made and used for my presentation in History of Math. Pardon me for not being able to cite ALL of my references through out the presentation. (one day I will). It is not detailed and perfect, but I am hoping that in a way, it may help you a hint on where to start to study about him and his works. Information known about his life and SOME of his contributions will be found in this books. I merely focused on his first book, liber abbaci, so if you wish to see more of his contributions, look out for his other writings. (there are lots of articles online about him, just look for them and read them) Fibonacci, the most famous mathematician from Pisa, Italy during the medieval period, is the man behind the fibonacci sequence and the popularization of the Hindu-Arabic Numeral System to Europe. Learn some things about him and his contributions through this. Thank you :)

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