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Mathematics Reading List

The Divine Proportion: A Study of Mathematical Beauty - H. E. Huntley

The Heritage of Thales - W. S. Anglin, J. Lambek

The Thirteen Books of the Elements, vol. I – Euclid

The Thirteen Books of the Elements, vol. II – Euclid

The Thirteen Books of the Elements, vol. III – Euclid

A History of Greek Mathematics, vol. I: From Thales to Euclid – T. L. Heath

A History of Greek Mathematics, vol. I: From Aristarchus to Diophantus – T. L. Heath

Aristarchus of Samos: The Ancient Copernicus – T. L. Heath

The Works of Archimedes - T. L. Heath

Apollonius of Perga: Treatise on Conic Sections - T. L. Heath

Elements of Algebra - Leonhard Euler

The Principia – Isaac Newton

Fermat’s Last Theorem – Simon Singh

Gamma: Exploring Euler's Constant - Julian Havil

Catalan’s Conjecture – René Schoof

The Banach-Tarski Paradox – Stan Wagon

Surreal Numbers - Donald Knuth

An Imaginary Tale: The Story of "i" - Paul J. Nahin

"e": The Story of a Number - Eli Maor

The Pythagorean Theorem: A 4000-Year History - Eli Maor

Trigonometric Delights – Eli Maor

To Infinity and Beyond: A Cultural History of the Infinite - Eli Maor

The Irrationals: A Story of the Numbers You Can’t Count On – Julian Havil

Mathematical Fallacies and Paradoxes - Bryan Bunch

Basic Topology - M. A. Armstrong

Measure, Topology, and Fractal Geometry - Gerald Edgar

In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem – Paul Nahin

Riemann’s Zeta Function – H. M. Edwards

A Study of Riemann’s 1859 Paper – Terrence P. Murphy

Complex Analysis: A Self-Study Guide – Terrence P. Murphy

Intermediate Pure Mathematics – H. A Hayden, C. G. Paradine, R. N. Giles

Playing With Infinity: Mathematical Explorations and Excursions – Rózsa Péter

Infinite Sequences and Series – Konrad Knopp

Levels of Infinity: Selected Writings on Mathematics and Philosophy – Hermann Weyl

The Concept of a Riemann Surface - Hermann Weyl

Symmetry – Hermann Weyl

The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities – J. Michael Steele

Probability Theory: A Concise Course – Y. A. Rozanov

Bayes’ Rule: A Tutorial Introduction to Bayesian Analysis – James V. Stone

Bayes Theorem – K. A. Muhith

The Theory of Groups – Marshall Hall

A Course on Group Theory – John S. Rose

Game Theory: A Nontechnical Introduction – Morton D. Davis

Summation of Infinitely Small Quantities - I. P. Natanson

Introduction to Hilbert Space and the Theory of Spectral Multiplicity, Second Edition - Paul R. Halmos

Linear Systems and Operators in Hilbert Space – Paul A. Fuhrmann

An Introduction to Linear Algebra & Tensors – M. A. Akivis, V. V. Goldberg

Linear Algebra – Georgi E. Shilov

Lie Algebras – Nathan Jacobson

Basic Algebra I, Second Edition – Nathan Jacobson

Basic Algebra II, Second Edition – Nathan Jacobson

Matrix Groups – M. L. Curtis

Algebraic Geometry and Commutative Algebra – Siegfried Bosch

(Mostly) Commutative Algebra – Antoine Chambert-Loir

Topological Methods in Galois Representation Theory – Victor P. Snaith

An Algebraic Introduction to K-Theory – Bruce A. Magurn

Lambda-Matrices and Vibrating Systems – Peter Lancaster

A Course in Algebraic Number Theory – Robert B. Ash

P-adic Numbers: An Introduction – Fernando Q. Gouvêa

Elementary Number Theory - Underwood Dudley

Automorphic Forms – Anton Deitmar

A Book of Abstract Algebra – Charles C. Pinter

An Introduction to Clifford Algebras and Spinors – Jayme Vaz Jr., Roldão da Rocha Jr.

Real Algebra: A First Course – Manfred Knebusch, Claus Scheiderer

Boolean Algebra – R. L. Goodstein

Boolean Functions: Theory, Algorithms, and Applications – Yves Crama, Peter L. Hammer

Algebra: A Complete Introduction – Hugh Neill

Calculus: A Complete Introduction – Hugh Neill

Essential Calculus with Applications – Richard A. Silverman

Calculus: Problems and Solutions – A. Ginzberg

Infinitesimal Calculus – James M. Henle, Eugene M. Kleinberg

The Umbral Calculus – Steven Roman

Quantum Calculus – Victor Kac, Pokman Cheung

Vector Calculus – Paul C. Matthews

Calculus Refresher – A. A. Klaf

The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order – Keith B. Oldham, Jeremy Spanier

Lebesgue Integration – Soo B. Chae

A Concise Introduction to Measure Theory – Satish Shirali

Introduction to Partial Differential Equations with Applications – E. C. Zachmanoglou, Dale W. Thoe

An Introduction to Differential Equations and their Applications – Stanley J. Farlow

Differential Equations: A Concise Course – H. S. Bear

Hyperbolic Partial Differential Equations – Serge Alinhac

Unbound Linear Operators: Theory and Applications – Seymour Goldberg

Cartesian Tensors: An Introduction – G. Temple

Tensor Calculus – J. L. Synge, A. Schild

The Absolute Differential Calculus: Calculus of Tensors – Tullio Levi-Civita

An Introduction to Manifolds – Loring W. Tu

Analysis on Manifolds – James R. Munkres

Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus – Michael Spivak

Advanced Calculus – David V. Widder

Advanced Calculus – G. A. Gibson

Calculus of One Variable – Joseph Kitchen

Advanced Calculus of Several Variables – C. H. Edwards

Operational Calculus and Generalized Functions – Arthur Erdélyi

Introduction to Lorentz Geometry: Curves and Surfaces – Ivo Terek Couto, Alexandre Lymberopoulos

The Mechanics of Lorentz Transformations – Taha Sochi

Solutions of Exercises of The Mechanics of Lorentz Transformations – Taha Sochi

Holonomy and Parallel Spinors in Lorentzian Geometry – Thomas Leistner

Elementary Differential Geometry, Revised Second Edition – Barrett O’Neill

The Penrose Transform: Its Interaction with Representation Theory – Robert Baston

Morse Theory – John Milnor

Geometry of Surfaces – John Stillwell

Topological, Differential, and Conformal Geometry of Surfaces – Norbert A’Campo

An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity – Leonor Godinho, José Natário

Riemannian Geometry and Geometric Analysis – Jürgen Jost

Compact Riemann Surfaces – Jürgen Jost

Minkowski Geometry – A. C. Thompson

Green’s Functions – G. F. Roach

Hyperbolic Functions: With Configuration Theorems and Equidecomposable Figures – V. G. Shervatov, B. I. Argunov, L. A. Skornyakov, V. G. Bolkyanskil

Special Functions & Their Applications – N. N. Lebedev

Proofs: A Long-Form Mathematics Textbook – Jay Cummings

Real Analysis: A Long-Form Mathematics Textbook – Jay Cummings

The Theory of Partitions – George E. Andrews

Boxes and Diamonds – Richard Zach

Incompleteness and Computability – Richard Zach

Sets, Logs, Computation – Richard Zach

Set Theory – Tim Button

Axiomatic Set Theory – Patrick Suppes

Abstract Sets and Finite Ordinals – G. B. Keene

Introduction to Topology – Bert Mendelson

Set Theory and Logic – Robert R. Stoll

First Course in Mathematical Logic – Patrick Suppes, Shirley Hill

Essential Pre-Algebra – Chris McMullen

Beginning Algebra – Chris McMullen

Algebra Essentials – Chris McMullen

Master Essential Algebra – Chris McMullen

Systems of Equations – Chris McMullen

Calculus with Multiple Variables - Chris McMullen

Essential Calculus - Chris McMullen

50 Challenging Calculus Problems - Chris McMullen

Differential Equations - Chris McMullen

Logarithms and Exponentials - Chris McMullen

Long Division - Chris McMullen

Fractions - Chris McMullen

Mixed Fractions - Chris McMullen

Fractions, Decimals and Percents - Chris McMullen

Fractions Essentials Workbook with Answers - Chris McMullen

Master Decimals - Chris McMullen

Geometry Proofs: Essential Practice Problems - Chris McMullen

Mathematics: The Basic Skills – S. Llewellyn, A. Greer

Bridging the Gap to University Mathematics – Martin Gould, Edward Hurst

How to Solve Mathematical Problems – Wayne A. Wickelgren

How to Calculate Quickly: Full Course in Speed Arithmetic – Henry Sticker

Short-Cut Math – Gerard W. Kelly

Mathematical Ideas: Their Nature and Use – Jagjit Singh

Collins Dictionary of Mathematics - Erhraim Borowski, Johnathon Borwein

The Calculi of Lambda-Conversion - Alonzo Church

The Lambda Calculus, its Syntax and Semantics - Henk P. Barendregt

Mathematical Analysis: Exercises The Study of Functions - Alessio Mangoni

Mathematical Analysis Exercises: Integrals - Alessio Mangoni

Mathematical Analysis Exercises: Series - Alessio Mangoni

Functional Operators, vol. I: Measures and Integrals - John von Neumann

Functional Operators, vol. II: The Geometry of Orthogonal Spaces - John von Neumann

Generalized Functions, Operator Theory, and Dynamical Systems – Ioannis Antoniou, Gunter Lumer

Adverse Linear Problems on Hilbert Space and their Krylov Solvability – Noè Angelo Caruso, Alessandro Michelangeli

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