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Differential Geometry:
Cartan's Generalization of Klein's Erlangen Program

by R.W. Sharpe



Topology from the Differentiable Viewpoint
by John Milnor



Lie Groups
by J.J. Duistermaat and J.A.C. Kolk



Proofs and Fundamentals:
A First Course in Abstract Mathematics

by Ethan D. Bloch



Algebraic Curves and Riemann Surfaces
by Rick Miranda



Algebraic Topology
by Allen Hatcher



A Comprehensive Introduction to Differential Geometry,
Volume 1

by Michael Spivak



A Comprehensive Introduction to Differential Geometry,
Volume 2

by Michael Spivak



Calculus on Manifolds:
A Modern Approach to Classical Theorems of Advanced Calculus

by Michael Spivak



Foundations of Differential Geometry,
Volume 1

by Shoshichi Kobayashi and Katsumi Nomizu



An Invitation to Algebraic Geometry
by Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, and William Traves



Lectures on Symplectic Geometry
by Ana Cannas da Silva


Manifolds and Differential Forms
by Reyer Sjamaar