Doctorate/PhD Maths Outline resources

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Doctorate/PhD Maths Outline resources

By YCmath
Complex analysis summary notes image

This is a set of summary notes on complex analysis largely based on Boas's "Invitation to Complex Analysis and Stein-Shakarchi's "Complex Analysis" with a total of 38 pages.

By YCmath
Real analysis summary notes image

This is a set of summary notes for real analysis based on Folland's "Real Analysis" and has a total of 46 pages.

By YCmath
Differential geometry summary notes image

This is a set of summary notes on differential geometry based on Lee's "Introduction to Smooth Manifolds," Tu's "An Introduction to Manifolds," and do Carmo's "Differential Geometry of Curves and Surfaces." It has a...

By YCmath
General topology summary notes image

This is a set of summary notes on general topology based on Munkres's "Topology" with a total of 16 pages.

By YCmath
Linear algebra summary notes image

This is a set of summary notes on linear algebra largely based on Roman's "Advanced Linear Algebra" and Hungerford's "Algebra" with a total of 27 pages.

By YCmath
Abstract algebra summary notes image

This is a set of summary notes on abstract algebra largely based on Hungerford's "Algebra" and Roman's "Advanced Linear Algebra" that I made to prepare for a PhD qualifying exam. It has a total of 76 pages.