A World of Knowledge at Cambridge Mathematics

Want to know more about studying at Oxford University? Watch this short film to hear tutors and students talk about this undergraduate degree. For more information on this course, please visit our website at https://www.ox.ac.uk/admissions/undergraduate/courses-listing/mathematics-and-statistics

Andrew Granville knows that artificial intelligence will profoundly change math. The programming language Lean already plays a role in theorem proving. That's why the University of Montreal number theorist has started talking to philosophers about the nature of mathematical proof — and how the discipline of mathematics might evolve in the age of AI. Read the full article at Quanta Magazine: https://www.quantamagazine.org/why-mathematical-proof-is-a-social-compact-20230831/ How Close Are Computers to Automating Mathematical Reasoning? https://www.quantamagazine.org/can-computers-be-mathematicians-20220629/ - VISIT our Website: https://www.quantamagazine.org - LIKE us on Facebook: https://www.facebook.com/QuantaNews - FOLLOW us Twitter: https://twitter.com/QuantaMagazine Quanta Magazine is an editorially independent publication supported by the Simons Foundation: https://www.simonsfoundation.org/ #math #proof #computerscience

At MIT, the 18.01/18.02 Mathematics General Institute Requirement (GIR) is fundamental to an undergraduate education. Video: MIT Video Productions Producer/Editor: Bill Lattanzi Field Producer: Julia C. Keller Cinematographers: Wesley Issac Richardson, Thomas P. White. Special thanks to Math PhD students John Urschel and Gweneth McKinley; Mathematics professors Gigliola Staffilani and Ankur Moitra; Sloan Professor Andrew Lo; and Mechanical Engineering Professor Alexander Slocum.

The AIMO Prize and IMO 2024 are supported by XTX Markets https://aimoprize.com/ Speaking at the 65th IMO in Bath, UK, Terence Tao gives an overview of how computers and AI are being used in mathematical research. He discusses the evolution from early computational tools to modern machine learning and formal proof assistants, highlighting recent breakthroughs and ongoing challenges. Tao emphasizes that while AI is becoming increasingly useful in mathematics, human insight and creativity remain essential for making meaningful progress in the field. 00:00 Introduction by Gregor Dolinar, IMO President 01:41 History of Machines and Mathematics 06:11 Online Encyclopedia of Integer Sequences 09:28 SAT Solvers 14:38 Proof Assistants 36:05 Machine Learning 41:34 Large Language Models 51:11 Q&A: Voevodsky 53:14 Q&A: Attending university at a young age 55:10 Q&A: Choosing fields of mathematics, Erdős number

Undergraduate students and staff talk about studying Mathematics at the University of Cambridge. To find out more about this course, see https://www.undergraduate.study.cam.ac.uk/courses/mathematics Disclaimer: While every effort has been made to ensure that the information contained in this video is accurate at the time it was uploaded, changes are likely to occur. It is therefore very important that you check the University and College websites for any updates before you apply for the course by visiting www.undergraduate.study.cam.ac.uk and again before accepting any offer to study at the University. Where there is a difference between the contents of this video and these websites, the contents of the website take precedence and represent the basis on which we intend to deliver our educational services to you.