Mathematics and the History of Number Systems

 Mathematics and the History of Number Systems GEED 004: Mathematics in the Modern World Department of Mathematics and Statistics Polytechnic University of the Philippines What is Mathematics? The Blind Men and the Elephant – John G...

 Mathematics and the History of Number Systems GEED 004: Mathematics in the Modern World Department of Mathematics and Statistics Polytechnic University of the Philippines What is Mathematics? The Blind Men and the Elephant – John G. Saxe  CHAPTER 1. Mathematics in Our World PUP - LARA What is Mathematics?Definition. Mathematics. The study of such topics as quantity, shapes, space, change, logic, and patterns. − The abstract science of number, quantity, and space, either as abstract concepts (pure mathematics), or as applied to other disciplines such as physicsandengineering(appliedmathematics).− CHAPTER 1. Mathematics in Our World PUP - LARA CHAPTER 1. Mathematics in Our World PUP - LARA  CHAPTER 1. Mathematics in Our World PUP - LARA CHAPTER 1. Mathematics in Our World PUP - LARA CHAPTER 1. Mathematics in Our World PUP - LARA  CHAPTER 1. Mathematics in Our World PUP - LARA Who Uses Mathematics? Mathematicians – specializes in either Pure or Applied fields. Scientists – they use math to generate ideas on their respective fields. Practically everyone used mathematics in dealing with everyday life activities.  CHAPTER 1. Mathematics in Our World PUP - LARA What is Mathematics?Many people consider mathematics to be a boring and formal science. But any good work in mathematics always has in it: Beauty Helpful Mystery Imagination Crazy Ideas CHAPTER 1. Mathematics in Our World PUP - LARA Mathematics is Helpful  CHAPTER 1. Mathematics in Our World PUP - LARA The Beauty of Mathematics 1 + 2 + … + ( − 1) + = ! + ( − 1) + … + 2 + 1 … = ! ( + 1) + ( + 1) + ( + 1) + ( + 1)= 2 ! times ( + 1)= 2 ! 22 ( + ! 1) 2=Carl Friedrich Gauss Apr.30,1777–Feb.23,1855  CHAPTER 1. Mathematics in Our World PUP - LARA The Mysteries in MathematicsGoldbach's conjecture is one of the oldest and best-known unsolved problems in mathematics. It states that every even natural number greater than 2 is the sum of two prime numbers.  CHAPTER 1. Mathematics in Our World PUP - LARA Crazy Ideas in Mathematics Suppose = " =  " − " = − " + − = ( − ) + = + = 2 = 2=1 CHAPTER 1. Mathematics in Our World PUP - LARA History of Number Systems  A Sumerian CHAPTER 1. Mathematics in Our World PUP - LARA The Sumerians  CHAPTER 1. Mathematics in Our World PUP - LARA The Babylonians and the Sexagesimal SystemCuneiform - A cuneiform was created by pressing a stylus into wet clay.  CHAPTER 1. Mathematics in Our World PUP - LARA The Babylonians and the Sexagesimal System CHAPTER 1. Mathematics in Our World PUP - LARA The Egyptians Numerical Hieroglyphs CHAPTER 1. Mathematics in Our World PUP - LARA The Decimal System and the Real Number System  CHAPTER 1. Mathematics in Our World PUP - LARA The Decimal System and the Real Number System  CHAPTER 1. Mathematics in Our World PUP - LARA Task 1.  Construct your reaction/reflection regarding to Mathematics in Our World. What is math? When, Where, and How we utilize mathematics? Is mathematics discovered or invented? Provide at least 250 words about this discussion. Submit this as a PDF file. RUBRIC: Depth: (Discusses the current situation and provides link that may support the claim): 50% Organization: (Coherent in the discussion of issues arising or relevance of mathematics in life): 30% Clarity: (Proper Grammars, citing an enough examples, thoughts are related to the given questions): 20% CHAPTER 1. Mathematics in Our World PUP - LARA