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Kanol
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Suggest good books to read in an order for one to gain profundity in the particular subject. This may seem to be a rather baffling task, due to the amount of subjects and it's vastness, but if it is done, it could certainly be extremely useful, especially for people like me who are highly intrigued by mathematics and want to learn but find ourselves to be greatly confused on which books to read. This thread can then also serve as the ultimate reference guide but remember, you MUST suggest books in an order to read. For example, on Algebra, you can first suggest books that discuss elementary algebra and then move on to suggesting books that discuss a higher level of algebra.
Algebra
Geometry
Trigonometry
Calculus
Analytic Geometry
Probability & Statistics
Linear Algebra
Abstract Algebra
Ordinary Differential Equations
Partial Differential Equations
Real Analysis
Complex Analysis
Group Theory
Differential Geometry
Lie Groups
Differential Forms
Homology
Cohomology
Homotopy
Fiber Bundles & Characteristic Classes
Index Theorems
Algebra
Geometry
Trigonometry
Calculus
Analytic Geometry
Probability & Statistics
Linear Algebra
Abstract Algebra
Ordinary Differential Equations
Partial Differential Equations
Real Analysis
Complex Analysis
Group Theory
Differential Geometry
Lie Groups
Differential Forms
Homology
Cohomology
Homotopy
Fiber Bundles & Characteristic Classes
Index Theorems