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Maths, Numbers, and Scary Greek Letters

Despite not being very good at it, I happen to like maths and logic and such.

This has not stopped me from collecting a bunch of boring books.

Back to book index

Big Ol' Books

2008 - Gowers et al. - The Princeton Companion to Mathematics
1999 - Aleksandrov et al. - Mathematics: Its Contents, Methods, and Meaning

General Introductions

2022 - Nield - Essential Math for Data Science
2014 - Lockhart - Measurement
2013 - Chu-Carroll - Good Math: A Geek's Guide to the Beauty of Numbers, Logic, and Computation
2013 - Blinder - Guide to Essential Math
2001 - Zakon - Basic Concepts of Mathematics
1998 - Lang - Basic Mathematics
1996 - Couraint & Robbins - What Is Mathematics?
1995 - Stewart - Concepts of Modern Mathematics
1991 - Motz & Weaver - Conquering Mathematics
1983 - Sawyer - Prelude to Mathematics
1911 - Whitehead - Introduction to Mathematics

Problem-solving and Studying

2014 - Polya - Mathematics and Plausible Reasoning
2012 - Alcock - How to Study for a Mathematics Degree
2010 - Mason - Thinking Mathematically
2009 - Houston - How to Think Like a Mathematician
1990 - Polya - How to solve it

A Very Short Introduction

The VSI series tends to be good for introductions.

2022 - Dunajski - Geometry
2020 - Van Brummelen - Trigonometry
2020 - Wilson - Number Theory
2019 - Earl - Topology
2017 - Stewart - Infinity
2017 - Priest - Logic
2016 - Hand - Measurement
2016 - Wilson - Combinatorics
2015 - Higgins - Algebra
2012 - Haigh - Probability
2011 - Higgins - Numbers
2008 - Hand - Statistics
2002 - Gowers - Mathematics

Basic Calculus

20xx - Thomas - Calculus and Analytic Geometry - Also known as Thomas' calculus, it seems
2020 - Stewart et al. - Calculus
2006 - Spivak - Calculus
1988 - Courant - Differential and Integral Calculus, Vol. 1 & 2 - Heavier reading

1910 - Thompson - Calculus Made Easy - Less formal introduction

Algebra

2005 - Lang - Algebra
2000 - Cohn - Classic Algebra
1922 - Euler - Elements of Algebra

The (even more) Abstract Kind

1985 - Clark - Elements of Abstract Algebra

Geometry

2015 - Hilbert - Foundations of Geometry
Euclid - Euclid's Elements/The Elements - Whichever version you can get
1950 - Hilbert - Foundations of Geometry
1890 - Besant - Conic Sections Treated Geometrically

Analysis

2019 - Cummings - Real Analysis: A Long-Form Mathematics Textbook
2016 - Tao - Analysis I/II
2016 - Abbott - Understanding Analysis

1957 - Landau - Foundations of Analysis - Ever wanted simple arithmetics in strict formal language?

2000 - Kolmogorov & Fomin - Introductory Real Analysis
1986 - Rosenlicht - Introduction to Analysis
1985 - Silverman - Introductory Complex Analysis
1976 - Rudin - Principles of Analysis

Linear Algebra

2021 - Strang - Introduction to Linear Algebra
2020 - Strang - Linear Algebra for Everyone
2014 - Axler - Linear Algebra Done Right
1958 - Halmos - Finite-Dimensional Vector Spaces

Probability

2013 - Kolmogorov - Foundations of the Theory of Probability
2008 - Bertsekas & Tsitsiklis - Introduction to Probability - Try MIT OCW Introduction to Probability
2003 - Jaynes - Probability Theory: The Logic of Science
2001 - Hacking - An Introduction to Probability and Inductive Logic
1977 - Rozanov - Probability Theory: A Concise Course
1968/71 - Feller - Introduction to Probability Theory and Its Applications: Volume I/II
1921 - Keynes - A Treatise of Probability

Probability Models

2019 - Ross - Introduction to Probability Models

Discrete Maths

2002 - Biggs - Discrete Mathematics
1996 - Balakrishnan - Introductory Discrete Mathematics
1994 - Graham et al - Concrete Mathematics

Topology

1997 - Armstrong - Basic Topology

Graph Theory

2012 - Tutte - Graph Theory As I Have Known It
2011 - Bondy & Murty - Graph Theory
2003 - Trudeau - Introduction ot Graph Theory

Logic, Mathematical Logic, and Good Thinkin'

The boundaries start to blur here. There's probably a joke related to fuzzy logic in there somewhere.

Set Theory

2016 - Cunningham - Set Theory: A First Course
2003 - Stoll - Set Theory and Logic
1977 - Enderton - Elements of Set Theory
1960 - Halmos - Naive Set Theory

Mathematical Logic

2001 - Shoenfield - Mathematical Logic
2000 - Hilbert - Principles of Mathematical Logic
1977 - Curry - Foundations of Mathematical Logic
1950 - Rosenbloom - The Elements of Mathematical Logic
1903 - Russell - Principles of Mathematics

The Principia Mathematica

1927 - Whitehead & Russell - Principia Mathematica Vol. 3
1927 - Whitehead & Russell - Principia Mathematica Vol. 2
1925 - Whitehead & Russell - Principia Mathematica Vol. 1

Proofs

2021 - Cummings - Proofs: A Long-Form Mathematics Textbook
2019 - Hammack - Book of Proof
2019 - Velleman - How to Prove It
2018 - Aigner & Ziegler - Proofs from THE BOOK
1976 - Lakatos - Proofs and Refutations

General Logic

Philosopical, formal, symbolic, etc.

2009 - Bergmann et al - The Logic Book
2003 - Carnap - Introduction to Symbolic Logic and Its Applications
1994 - Forbes - Modern Logic: A Text in Elementary Symbolic Logic
1957 - Suppes - Introduction to Logic
1946 - Tarski - Introduction to Logic and to the Methodology of Deductive Sciences
1894 - Venn - Symbolic Logic
1854 - Boole - An Investigation of the Laws of Thought
1847 - De Morgan - Formal Logic