Alex's Webpage: Math Books
This is a list of math books, papers, and notes.


Algebra
Axler Linear Algebra Done Right
Colmez Éléments d'Analyse et d'Algèbre
Conrad The Minimal Polynomial and Some Applications
Dummit and Foote Abstract Algebra
Hefferon Linear Algebra
Judson Abstract Algebra
Knapp Basic Algebra
Kostrikin and Manin Linear Algebra and Geometry
MacLane Categories for the Working Mathematician
Roman Advanced Linear Algebra
Schaum Outline of Linear Algebra

Algebra - Geometric
Shafarevich Basic Algebraic Geometry 1
Shafarevich Basic Algebraic Geometry 2

Analysis
Arnold Functional Analysis
Atkinson Theoretical Numerical Analysis
Bartle Introduction to Real Analysis
Gaier Lectures on Complex Approximation
Hayman Meromorphic Functions
Mashreghi Radial Limits
Nica Eigenvalues and Eigenfunctions of the Laplacian
Rudin Functional Analysis
Rudin Principles of Mathematical Analysis
Rudin Real and Complex Analysis
Stein and Shakarchi Complex Analysis

Analysis - Geometric
Brooks The Spectral Geometry of a Tower of Coverings
Buser Geometry and Spectra of Compact Riemann Surfaces
Canzani Analysis on Manifolds via the Laplacian
Chan Uniformization of Riemann Surfaces
Chavel Eigenvalues in Riemannian Geometry
Jakobson Spectra Dynamical Systems and Geometry
Katok Continued Fractions, Hyperbolic Geometry and Quadratic Forms
Katok Fuchsian Groups, Geodesic Flows on Surfaces of Constant Negative Curvature and Symbolic Coding of Geodesics
Katok Hyperbolic Geometry and Fuchsian Groups
Labourie A Short and Dirty Introduction to Hyperbolic Surfaces
Sarnak Recent Progress on the Quantum Unique Ergodicity Conjecture
Sarnak Spectra of Hyperbolic Surfaces
Sarnak The Distribution of Mass and Zeros for High Frequency Eigenfunctions on the Modular Surface
Zelditch Eigenfunctions of the Laplacian of Riemannian Manifolds
Zelditch Local and Global Analysis of Nodal Sets

Brooks The Sunada Method
Engel Constructing Isospectral Manifolds
Sunada Riemannian Coverings and Isospectral Manifolds

quantum chaos hw1
quantum chaos hw2
quantum chaos hw3
quantum chaos lectures

Lee and Parker Yamabe Problem
Tawfik The Yamabe Problem

Computer Science
Churchill and Biderman and Herrick Magic is Turing Complete
Cormen Introduction to Algorithms
Menezes and Oorschot and Vanstone Handbook of Applied Cryptography
Wagner On Omega Regular Sets

Differential Equations
Boyce and DiPrima Elementary Differential Equations and Boundary Value Problems
Evans Partial Differential Equations
Perko Differential Equations and Dynamical Systems
Trench Elementary Differential Equations
Wihler Applied Partial Differential Equations 1

Differential Geometry
doCarmo Differential Geometry of Curves and Surface

Discrete Math
Biggs Algebraic Graph Theory
Bondy and Murty Graph Theory
Chung and Oden Weighted Graph Laplacians and Isoperimetric Inequalities
Chung Lectures on Spectral Graph Theory chapter 1
Norin Graph Theory and Combinatorics
Stanley Enumerative Combinatorics Vol 1
Stanley Enumerative Combinatorics Vol 2

Logic
Enderton A Mathematical Introduction to Logic

Number Theory
Hardy and Wright and HeathBrown and Silverman An Introduction to the Theory of Numbers

Set Theory
Jech Set Theory
Moschovakis Descriptive Set Theory

Topology
Bott and Tu Differential Forms in Algebraic Topology
Hatcher Algebraic Topology
Hatcher Notes on Introductory Point-Set Topology
Lee Introduction to Riemannian Manifolds
Lee Introduction to Smooth Manifolds
Lee Riemannian Manifolds an Introduction to Curvature
May A Concise Course in Algebraic Topology