Tag: math education
-
Fibonacci and the Birth of Modern Math
Leonardo de Pisa Fundamentally Changed Math Discovering the Fibonacci Series Ancient Indian Discoveries in Sanskrit Texts The Golden Number (Phi, φ) The Golden Spiral From Roman Numerals to Hindu-Arabic Numbers Fascinating Facts About the Fibonacci Sequence Leonardo de Pisa Fundamentally Changed Math mathematics is related to Natural Sciences the result of read more
Written by
-
Every Binary Operation and Logic Gate Explained
The binary system is the foundation of all computing. Without it, there would be no computers, cell phones, internet, or modern technology as we know it. What Is the Binary System? Converting Between Decimal and Binary Binary Arithmetic Operations Boolean Algebra and Logic Gates Basic Logic Gates Derived Logic Gates Properties read more
Written by
-
Every Method to Complete the Square Explained
Completing the Square: Why It’s Actually About Squares If you’ve ever taken an algebra class, you’ve probably been asked to solve for x. Before you get to quadratic equations, you usually start with linear equations, which are equations that can be put in the form ax + b = 0 for a ≠ 0. Once read more
Written by
-
Every Non-Newtonian Fluid Explained
What Is a Non-Newtonian Fluid? Time-Independent Non-Newtonian Fluids Time-Dependent Non-Newtonian Fluids The Mathematical Challenge Rheological Models Real-World Applications and Open Problems What Is a Non-Newtonian Fluid? A non-Newtonian fluid is one whose viscosity does not remain constant under different rates of deformation. Unlike Newtonian fluids such as water or air, where read more
Written by
-
The Fastest Way to Travel is not a Straight Line
What Is the Brachistochrone? The Challenge The Calculus of Variations Deriving the Solution The Cycloid What Is the Brachistochrone? One of the most fascinating problems in the history of mathematics is the brachistochrone problem, posed in the 17th century. It seeks to answer a seemingly simple question: what is the fastest read more
Written by
-
Every Weird Number Set Explained
The Extended Real Number Line The Hyperreal Numbers Increasing Dimensions: Why Not Three Components? Quaternions The Extended Real Number Line We all know and love the real numbers. But infinity is not a real number, at least not in the mathematical sense of the term. Since this is math, though, we read more
Written by
-
Every Real Function Explained
Every Type of Mathematical Function Explained Linear Functions Quadratic Functions Polynomials of Degree n Rational Functions Radical Functions Exponential Functions Logarithmic Functions Trigonometric Functions Inverse Trigonometric Functions Hyperbolic Functions The Absolute Value Function Constant Functions Floor and Ceiling Functions The Sign Function Piecewise Functions Linear Functions Linear functions have the form read more
Written by
-
Every Scale used to Measure Natural Phenomena Explained
Hurricanes and the Saffir-Simpson Scale Earthquakes and the Richter Scale The Moment Magnitude Scale Tsunamis and the Imamura-Iida Scale Tornadoes and the Fujita-Pearson Scale Volcanic Eruptions and the VEI The Role of Mathematical Models Hurricanes and the Saffir-Simpson Scale Hurricanes, cyclones, and typhoons are the same meteorological phenomenon: a storm system read more
Written by
-
Every Proof that √2 is Irrational but they get increasingly more complex
Four Proofs That √2 Is Irrational Proof by Contradiction Prime Factorization Proof Infinite Descent Proof Reciprocal Proof Four Proofs That √2 Is Irrational The square root of 2, or 2^(1/2), is irrational. That is, it’s a real number that cannot be expressed as the ratio of two integers. Its decimal expansion read more
Written by
-
Complex Geometry Puzzles Explained
Five Geometry Puzzles That Will Test Your Problem-Solving Skills Triangle and Five Rectangles Wood Piece Puzzle Inscribed Triangle Problem Wertheimer’s Car Riddle Shaded Area Problem Five Geometry Puzzles That Will Test Your Problem-Solving Skills Triangle and Five Rectangles Here’s a simple problem to start off, posted to the subreddit r/askmath. Rectangle read more
Written by
