/mg/ - Mathematics General

No.13760398 ViewReplyOriginalReport
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