Hiset Math Test Prep

Explanation
The history of mathematics can be seen as an ever increasing series of abstractions. Over time, mathematicians have developed more abstract concepts and theories to understand and describe the patterns and relationships in the world. From basic arithmetic to complex calculus, mathematics has evolved by creating increasingly abstract ideas that allow for more precise and generalizable solutions to problems. Abstractions in mathematics provide a framework for understanding and analyzing a wide range of phenomena, making it a fundamental aspect of the field.

Explanation
Islam mathematics made significant contributions to the development of algebra. Algebra, as a branch of mathematics, was greatly advanced during the Islamic Golden Age. Muslim mathematicians introduced the concept of variables, developed algebraic notation, and solved complex equations. They also made important discoveries in areas such as quadratic equations, linear equations, and polynomial equations. Their work in algebra laid the foundation for modern mathematics and had a profound impact on the field.

Explanation
Leonhard Euler was the most notable mathematician of the 18th century. He made significant contributions to various branches of mathematics including calculus, number theory, graph theory, and mathematical physics. Euler's work laid the foundation for many important mathematical concepts and techniques that are still used today. He is particularly known for his formula relating complex numbers, his solution to the Seven Bridges of Königsberg problem, and his development of graph theory. Euler's profound impact on mathematics and his numerous achievements make him the most notable mathematician of the 18th century.

Explanation
Archimedes is considered the greatest mathematician of antiquity due to his significant contributions to various fields of mathematics, including geometry, calculus, and number theory. He developed innovative mathematical techniques, such as the method of exhaustion, which laid the foundation for calculus. Archimedes also made important discoveries in physics and engineering, such as the principle of buoyancy and the lever. His mathematical achievements and inventions greatly influenced future mathematicians and scientists, making him a highly respected figure in the field of mathematics.

Explanation
The foremost mathematician in the 19th century was from Germany.

Explanation
In the 20th century, mathematics underwent a transformation with the introduction of incompleteness theorems. These theorems, formulated by mathematician Kurt Gödel, demonstrated that within any given mathematical system, there are statements that cannot be proven or disproven. This had a profound impact on the field of mathematics as it challenged the notion of absolute certainty and highlighted the limitations of formal systems. The incompleteness theorems revolutionized the way mathematicians approached the foundations of mathematics and opened up new avenues for research and exploration.

Explanation
The word "Mathematics" originated from Ancient Greek. The term "mathēmatikē tékhnē" was used by the Greeks to refer to the study of numbers, quantities, and shapes. The Greek mathematicians made significant contributions to the development of mathematics, including Euclid's geometry and Pythagoras' theorem. The word "mathematics" itself is derived from the Greek word "mathēma," meaning "knowledge" or "learning." Therefore, it is clear that the word Mathematics has its roots in Ancient Greek.

Explanation
The word "mathematics" refers to a subject that is studied and acquired through learning. It encompasses various concepts, principles, and techniques that are taught and understood through education and practice. Therefore, the correct answer is "That which is learnt."

Explanation
The study of space originated in the field of Geometry. Geometry is a branch of mathematics that deals with the properties and relationships of points, lines, shapes, and spaces. It was the ancient Greeks who first developed the study of geometry and made significant contributions to our understanding of space. Through geometry, they were able to explore and describe the properties of objects in space, laying the foundation for the study of astronomy and the broader field of space science.