Chinese mathematics refers to the mathematical practices, theories, and techniques developed and used in China over thousands of years. It has a rich history that includes significant contributions to various fields of mathematics, such as arithmetic, geometry, algebra, and number theory.

Japanese mathematics refers to both historical and contemporary mathematical practices and developments in Japan. The term can encompass a variety of topics, including traditional Japanese mathematics (often called "wasan"), modern mathematical education, and contemporary research and contributions to global mathematics. ### Historical Context: Wasan 1. **Wasan (和算)**: This term specifically refers to traditional Japanese mathematics that developed from the 17th century until the 19th century.

Mathematics in the medieval Islamic world, often referred to as Islamic mathematics, was a significant and transformative field that flourished from the 8th to the 15th centuries. This period was marked by a remarkable exchange of knowledge, as scholars built upon the mathematical foundations of ancient civilizations such as the Greeks, Romans, Indians, and Persians.

Mathematical analysis is a branch of mathematics that focuses on the study of limits, functions, derivatives, integrals, sequences, and series, as well as the properties of real and complex numbers. It provides the foundational framework for understanding continuous change and is widely applicable across various fields of mathematics and science.

Asymptotic analysis is a mathematical method used to describe the behavior of functions as inputs become large. In the context of computer science and algorithm analysis, it is primarily used to evaluate the performance or complexity of algorithms, specifically in terms of time (running time) and space (memory usage).

Vanguarda Paulistana refers to a cultural movement that emerged in São Paulo, Brazil, primarily during the 1980s. It is often associated with various artistic and literary practices that sought to challenge traditional norms and push the boundaries of creative expression. The movement encompassed a variety of art forms, including visual arts, theater, literature, and music, and was characterized by experimental approaches and a focus on modernity.