19th-century mathematics

In the 19th century, mathematics underwent significant developments that shaped modern concepts. Key figures like Carl Friedrich Gauss advanced number theory, while Augustin-Louis Cauchy contributed to calculus and analysis, formalizing limits and continuity. Geometry saw a shift with non-Euclidean theories by mathematicians like Nikolai Lobachevsky and János Bolyai, expanding our understanding of space. Additionally, George Boole introduced algebraic logic, laying the groundwork for computer science. Overall, 19th-century mathematics revolutionized various fields, embracing abstraction and rigor, and establishing foundational principles that are still relevant in various scientific and engineering domains today.