ncatlab.org
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nLab is a collaborative, wiki-style math reference focused on category theory, geometry, and foundational topics. It offers detailed entries on vector bundlesâincluding fiber and principal bundles, connections, and Chern classesâwith definitions, explanations, and links to further literature.
More resources on Vector Bundles
mathworld.wolfram.com
MathWorld is Wolfram's comprehensive online mathematics encyclopedia, featuring rigorously written articles on a wide range of topics. The vector bundles entry provides definitions, key properties, examples, and links to related concepts and references for further study.
ocw.mit.edu
MIT OpenCourseWare provides free, self-paced MIT course materialsâlectures, notes, assignments, and examsâfor a wide range of subjects. It includes math courses that cover topics like vector bundles.