Development Trends of Mathematics and Artificial Intelligence

This work primarily explores using mathematics in artificial intelligence and the direction of future growth. First, it goes over the background of mathematics and artificial intelli-gence; then, it emphasizes mathematics's vital role in supporting artificial intelligence. It then emphasizes how mathematics, particularly probability theory, linear algebra, calculus, and other disciplines, conceptually underpin artificial intelligence technologies, including machine learning and deep learning. Later, this study examines critical applications of mathematics in modern artificial intelligence, including mathematical frameworks in gen-erative models and applications in quantum computing. Finally, this work highlights the application of new mathematical disciplines, such as topology and complex systems, and anticipates the future development trend of mathematics and artificial intelligence. Simul-taneously, artificial intelligence's ongoing advancement could raise ethical concerns. This work attempts to underline the relevance of mathematics to artificial intelligence and to sort out the future development tendencies of mathematics and artificial intelligence so that they could better serve human beings.