Books by subject

=Algebra=

Algebra

 * Aluffi - Algebra, Chapter 0
 * Dummit and Foote - Abstract Algebra
 * Hungerford - Algebra

Algebraic Geometry

 * Eisenbud and Harris - 3264 and All That
 * Eisenbud and Harris - The Geometry of Schemes
 * Grothendieck and Dieudonné - EGA I
 * Grothendieck and Dieudonné - EGA II
 * Grothendieck and Dieudonné - EGA III
 * Grothendieck and Dieudonné - EGA IV
 * Grothendieck - SGA 1
 * Grothendieck - SGA 2
 * Demazure and Grothendieck - SGA 3
 * Artin, Grothendieck, and Verdier - SGA 4
 * Deligne - SGA 4½
 * Grothendieck - SGA 5
 * Berthelot, Grothendieck, and Illusie - SGA 6
 * Grothendieck - SGA 7
 * Hartshorne - Algebraic Geometry
 * Milne - Étale cohomology
 * Mumford - The Red Book of Varieties and Schemes
 * Shafarevich - Basic Algebraic Geometry, I
 * Shafarevich - Basic Algebraic Geometry, II
 * Smith et al - An Invitation to Algebraic Geometry

Commutative Algebra

 * Atiyah and MacDonald - Introduction to Commutative Algebra
 * Eisenbud - Commutative Algebra - with a View Toward Algebraic Geometry

Homological Algebra

 * MacLane - Homology
 * Weibel - Homological Algebra
 * Weibel - History of Homological Algebra

Linear Algebra

 * Axler - Linear Algebra Done Right

Representation Theory

 * Fulton and Harris - Representation Theory

=Analysis=

Complex Analysis

 * Ahlfors - Complex Analysis
 * Farkas and Kra - Riemann Surfaces
 * Greene and Krantz - Function Theory of One Complex Variable

Real Analysis

 * Royden - Real Analysis
 * Rudin - Principles of Mathematical Analysis

Functional Analysis
=Topology=
 * Stein and Shakarchi - Functional Analysis (Princeton Lectures in Analysis IV)

Algebraic Topology

 * Bott and Tu - Differential Forms in Algebraic Topology
 * Hatcher - Algebraic Topology
 * Weibel - History of Homological Algebra

Differential Topology

 * Bott and Tu - Differential Forms in Algebraic Topology

= Geometry =

Algebraic Geometry

 * See Algebraic Geometry above.

Classical Geometry

 * Euclid - Elements
 * Lawrence - A Catalog of Special Plane Curves

Differential Geometry

 * do Carmo - Differential Geometry of Curves and Surfaces
 * Spivak - A Comprehensive Introduction to Differential Geometry, I
 * Spivak - A Comprehensive Introduction to Differential Geometry, II
 * Spivak - A Comprehensive Introduction to Differential Geometry, III
 * Spivak - A Comprehensive Introduction to Differential Geometry, IV
 * Spivak - A Comprehensive Introduction to Differential Geometry, V

= Number Theory =

Algebraic Number Theory

 * Neukirch - Algebraic Number Theory

Analytic Number Theory

 * Apostol - Introduction to Analytic Number Theory