Category: Calculus
-
Every Proof That There Are Infinitely Many Primes Explained
What Is a Prime Number? Euclid’s Proof Factorial Proof Erdős’s Proof What Is a Prime Number? Think of a natural number. That is, a number used for counting, like six. Next, think of another natural number, like two. If we calculate 6 / 2, the result is 3. Since 3 is read more
Written by
-
Unsolved Math Problems in Calculus That Sound Easy
The Casas-Alvero Conjecture The Riemann Hypothesis Navier-Stokes Existence and Smoothness The Jacobian Conjecture The Casas-Alvero Conjecture If an integer k can be expressed as the product of two integers m and n, then m and n are called factors of k. A common factor of two integers is a factor shared read more
Written by
-
Every Equation That Changed History Explained
Timeline of Equations That Changed the World 6th Century BC: Thales’ Theorem 6th Century BC: Pythagorean Theorem 300 BC: Euclid’s Theorem 250 BC: Archimedes’ Principle of Flotation 200 BC: Conic Sections First Century AD: Heron’s Formula 1202: Fibonacci Sequence 1609: Kepler’s Laws of Planetary Motion 1614: Logarithms 1637: Cartesian Plane 1637: read more
Written by
-
Every Unsolved Problem in Discrete Mathematics that sounds Easy
The Riemann Hypothesis The Navier-Stokes Problem The P versus NP Problem The Collatz Conjecture The Goldbach Conjecture The Riemann Hypothesis The Riemann hypothesis is one of the unsolved cornerstones of analytic number theory. Formulated by Bernhard Riemann in 1859, it states that all non-trivial zeros of the Riemann zeta function, denoted read more
Written by
-
Every Major Topic in Calculus Explained – Part 2
A Complete Guide to Integrals What Are Integrals? The Power Rule The Sum Rule Integration by Substitution Integration by Parts Integration by Partial Fractions Definite Integrals A Real-Life Application A Complete Guide to Integrals What Are Integrals? An integral is a mathematical operation that computes the area under a curve or read more
Written by
-
Every Major Topic in Calculus Explained – Part 1
A Complete Walkthrough of Calculus What Is Calculus? Functions Limits Derivatives Derivative Rules Derivatives of All Six Trigonometric Functions A Real-Life Application of Derivatives A Complete Walkthrough of Calculus What Is Calculus? Calculus is the branch of mathematics involving the study of the continuous rate of change of quantities, particularly in read more
Written by
-
Every Equation in Math and Physics You Need to Know
Every Crucial Equation in Math and Physics Seventeen Equations That Built the Modern World The Pythagorean Theorem Logarithms Calculus The Law of Gravity The Square Root of −1 Euler’s Polyhedra Formula The Fourier Transform The Wave Equation Maxwell’s Equations The Second Law of Thermodynamics The Normal Distribution Relativity The Schrödinger Equation read more
Written by
-
Greatest Mathematicians – Final Part (Pt 3)
Famous and Influential Mathematicians from 600 BC to the 21st Century Stefan Banach Henri Cartan Israel Gelfand Laurent Schwartz David Mumford Alain Connes Karen Uhlenbeck Freeman Dyson Barry Mazur Peter Lax Yakov Sinai George Dantzig Enrico Bombieri David Hilbert Claude Shannon Felix Hausdorff Alfred Tarski Marshall H. Stone Saunders Mac Lane read more
Written by
-
Greatest Mathematicians and their Discoveries – Part 2
A Timeline of History’s Greatest Mathematicians Ancient Mathematicians Indian and Central Asian Mathematicians Renaissance and Early Modern Mathematicians The Bernoulli Era and 18th Century 19th Century Mathematicians Early 20th Century Mathematicians Mid to Late 20th Century Mathematicians Ancient Mathematicians Thales of Miletus is a foundational figure in Greek mathematics and philosophy, read more
Written by
-
Why Catalan’s Constant Still Puzzles Mathematicians
Catalan’s constant is a well-known mathematical constant defined by the infinite series: It is named after the Belgian mathematician Eugène Charles Catalan, who first gave an equivalent series and expressions in terms of integrals for this constant. Where Does Catalan’s Constant Appear? Is Catalan’s Constant Rational or Irrational? Computing Catalan’s Constant read more
Written by
