The mathematical sign of brackets, denoted by the symbol “[],” is used in mathematics to enclose, group, clarify, and organize expressions. Technically brackets are punctuation marks in the shape of paired square symbols.

The origin

Brackets have a fascinating origin deeply rooted in the history of mathematics. The first recorded use of brackets can be traced back to the work of the French mathematician François Viète in the 16th century. Viète introduced a symbolic algebraic notation system, employing brackets to represent unknowns and constants. This marked a significant departure from the complicated verbal expressions used earlier.

During the symbolic renaissance of the 17th century, mathematicians like René Descartes embraced Viète’s notation, refining and expanding its usage. The adoption of brackets became more widespread as mathematicians sought standardized ways to express mathematical ideas concisely.

The 19th century witnessed a surge in the formalization of mathematical notation. The late 19th and early 20th centuries saw efforts to streamline and reform mathematical notation. Renowned mathematicians, such as Giuseppe Peano and David Hilbert, contributed to the establishment of notational conventions.

With the advent of computers in the mid-20th century, brackets gained newfound importance in programming languages. They became essential for defining the structure of algorithms, loops, and conditional statements, emphasizing their adaptability across diverse fields.

Just as written language evolved from verbose expressions to concise scripts, mathematical notation, including brackets, underwent a transformative journey toward efficiency and clarity.

Function

Brackets serve to group elements within mathematical expressions, ensuring clarity in calculations. They help prioritize operations, emphasizing which calculations should be performed first.

Use

• In algebra, brackets are crucial for indicating the order of operations.
• In computer programming, brackets play a crucial role in defining blocks of code. They are extensively used for array indexing and defining lists.
• The use of brackets extends beyond mathematics; they find applications in linguistics, and even in literature to denote editorial insertions.
• Musicians use square brackets in sheet music to indicate editorial suggestions or optional sections.