Books Edition
Talk about mathematics, last thread was >>13742383
Some people here and there wanted book recommendations, so I made a short list where anyone is welcome to add to it (as long as they're not a spaz about it). It's more algebra-oriented, so it definitely needs additions. If it gets long enough, I'll put it in a pastebin.
(If there's no title, then title = subject)
Proofs:
-"How to Prove It", Velleman
Calculus:
-Spivak
Linear Algebra:
-"Linear Algebra Done Right", Axler
Set Theory:
-"Naive Set Theory", Halmos
Abstract Algebra:
-"A Book of Abstract Algebra", Pinter (Baby book)
-Dummit & Foote (not so baby)
Real Analysis:
-"Principles of Mathematical Analysis", Rudin (everybody's favorite)
Complex Analysis:
-Ahlfors
Topology:
-Munkres
Number Theory:
-"A Classical Introduction to Modern Number Theory", Ireland & Rosen
Galois Theory:
-Artin
-Rotman
Commutative Algebra:
-"Introduction to Commutative Algebra", Atiyah & Macdonald
-"Commutative Rings", Kaplansky
Algebraic Topology:
-Hatcher
Differential Geometry:
-"Differential Geometry of Curves and Surfaces", Do Carmo
Ellipctic Curves:
-"Arithmetic of Elliptic Curves", Silverman
Talk about mathematics, last thread was >>13742383
Some people here and there wanted book recommendations, so I made a short list where anyone is welcome to add to it (as long as they're not a spaz about it). It's more algebra-oriented, so it definitely needs additions. If it gets long enough, I'll put it in a pastebin.
(If there's no title, then title = subject)
Proofs:
-"How to Prove It", Velleman
Calculus:
-Spivak
Linear Algebra:
-"Linear Algebra Done Right", Axler
Set Theory:
-"Naive Set Theory", Halmos
Abstract Algebra:
-"A Book of Abstract Algebra", Pinter (Baby book)
-Dummit & Foote (not so baby)
Real Analysis:
-"Principles of Mathematical Analysis", Rudin (everybody's favorite)
Complex Analysis:
-Ahlfors
Topology:
-Munkres
Number Theory:
-"A Classical Introduction to Modern Number Theory", Ireland & Rosen
Galois Theory:
-Artin
-Rotman
Commutative Algebra:
-"Introduction to Commutative Algebra", Atiyah & Macdonald
-"Commutative Rings", Kaplansky
Algebraic Topology:
-Hatcher
Differential Geometry:
-"Differential Geometry of Curves and Surfaces", Do Carmo
Ellipctic Curves:
-"Arithmetic of Elliptic Curves", Silverman