Mathematics is the study of numbers, quantities, and shapes. It involves the use of logical reasoning and critical thinking to solve problems and understand the world around us. Mathematics is a vast and diverse field that encompasses various branches, including algebra, geometry, calculus, statistics, and more.
Terry Tao’s Blog : Advanced discussions on analysis and number theory from a Fields Medalist. an excursion in mathematics pdf
The text covers four primary pillars of competition mathematics: 1. Number Theory Divisibility of integers and congruences. Theorems of , Euler , Wilson , and Lagrange . Greatest integer functions and Pythagorean triples. 2. Algebra Polynomials and their properties. Arithmetic and geometric inequalities. Functional equations. 3. Geometry Mathematics is the study of numbers, quantities, and shapes