- #1

Kalvino

- 6

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Elementary Algebra:

*Gelfand's Algebra*

Gelfand's Functions & Graphs

Burnside's Theory of Equations

Euler's Analysis of the Infinite

Bellman's Introduction to Inequalities

Umbarger's Logarithms

Gelfand's Functions & Graphs

Burnside's Theory of Equations

Euler's Analysis of the Infinite

Bellman's Introduction to Inequalities

Umbarger's Logarithms

Elementary Geometry:

*Kiselev's Geometry*

Lang's Geometry

Gelfand's Trigonometry

Gelfand's Method of Coordinates

Gutenmacher's Lines & Curves

Lang's Geometry

Gelfand's Trigonometry

Gelfand's Method of Coordinates

Gutenmacher's Lines & Curves

Overview:

*Serge Lang's Basic Mathematics*

Calculus:

*Spivak's Calculus*

Apostol's Calculus

Courant's Introduction to Calculus & Analysis

Simmons' Calculus with Analytic Geometry

Hubbard's Vector Calculus

Apostol's Calculus

Courant's Introduction to Calculus & Analysis

Simmons' Calculus with Analytic Geometry

Hubbard's Vector Calculus

Linear Algebra:

*Lang's Introduction to Linear Algebra*

Axler's Linear Algebra Done Right

Friedberg's Linear Algebra

Hoffman-Kunze's Linear Algebra

Roman's Advanced Linear Algebra

Axler's Linear Algebra Done Right

Friedberg's Linear Algebra

Hoffman-Kunze's Linear Algebra

Roman's Advanced Linear Algebra

Real Analysis:

*Binmore's Mathematical Analysis*

Pugh's Real Mathematical Analysis

Folland's Real Analysis

McDonald's A Course in Real Analysis

Pugh's Real Mathematical Analysis

Folland's Real Analysis

McDonald's A Course in Real Analysis

You may make additions to my list or add more branches like Topology, Complex Analysis and Differential Geometry if you like, but remember; the books should focus on the "Why?" rather than the "How?" or in other words; should be highly theoretical. Books like Stewart's Calculus don't classify as being theoretical.