
Survey definitions of mathematics from Cambridge Dictionary, Oxford Learner's Dictionaries, Wikipedia, and Encyclopaedia Britannica, noting there is no single definition while highlighting numbers, shapes, space, and branches.
define what numbers are and show how we use them to count and measure objects in daily life, with examples like graphs, calculators, and temperatures; preview different number types.
Explore major number types, from natural numbers and integers to decimals, rational numbers, irrationals, reals, imaginary numbers, and complex and hypercomplex numbers, plus even, odd, and prime numbers.
Explore special number types in math, including perfect numbers and happy or unhappy numbers derived from digit squares. Learn how these patterns work and preview mathematical constants.
Explore fundamental mathematical constants—pi, e, Apéry's constant, the golden ratio, and zero—and their definitions and wide-ranging applications in physics, chemistry, engineering, and computer science.
Discover symmetry and spirals in nature, revealing fivefold and sixfold patterns and fractal spirals in broccoli, cactus, nautilus shells, sunflowers, and the Messier 51 Whirlpool Galaxy.
Explore Gabriel's horn, or painter's paradox, a mathematical paradox where a finite volume coexists with infinite surface area, analyzed via calculus to compare volume and surface area.
Math Numbers and Patterns is taught to ignite the hidden curiosity in a person to learn and apply Mathematics to analyze the nature around us in a new way. Before that, a sound knowledge of numbers is necessary to understand the nature around us. This course begins with describing different number types, such as natural numbers, integers, decimals, rational numbers, complex numbers and move on to describe special types such as Happy Number, Perfect Number and Primes. Next, constants are defined and discussed. Some of the widely used constants, namely Pi, Euler's Constant, Dirac Notation, Apery's Constant etc. are described with examples and specific applications.
As the students grow the ability to analyze, various natural patterns are displayed which are formed of using numbers and Mathematical series. Topics such as how broccoli, shell, sunflower, various objects, plants even the galaxy around us follow specific Mathematical patterns are highlighted in the later videos. Geometrical shapes are solely based on Math.
A famous mathematical paradox named Gabriel's Horn (Painter Paradox) has been discussed and calculated to see how surprising mathematics can be.
These natural shapes, objects and lives around us assist in igniting the hidden curiosity among the students to learn more about numbers and Math. Curiosity is essential to realize how God has perfectly designed and implemented nature around and above us.