LibGuides: Mathematical Sciences: Books and e-books

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Higher Categories and Homotopical Algebra by Denis-Charles Cisinski
Call Number: Hancock QA612.7.C56 2019
Publication Date: 2019
This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century.
Introduction to Riemannian Manifolds by John M. Lee
Call Number: HANCOCK QA649 .L397 2018
Publication Date: 2018
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.