Profound

• Information Theory, Inference, and Learning Algorithms
• Causation, Prediction, and Search
• The Nature of Computation
• Statistical Rethinking
• Fooled by Randomness
• A Programmer’s Introduction to Mathematics

Visuals

• Complex Analysis
• Group Theory
• Naive Lie Theory
• Galois’ Dream
• Linear Algebra
  • immersive linear algebra
  • Graphical Linear Algebra
  • Interactive Linear Algebra
• Calculus
  • 3b1b
  • Grad, Div, Curl and all that by H. M. Schey
  • Analysis by Its History
  • Advanced Calculus: A Geometric View
• Proofs without words
• A Topological Picturebook
• Topology Illustrated
• A Visual Introduction to Differential Forms and Calculus on Manifolds
  • Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
• Geometry and the Imagination
• A Panoramic View of Riemannian Geometry by Marcel Berger.
• A Singular Mathematical Promenade
• Odds & Ends: Introducing Probability & Decision with a Visual Emphasis
• Interactive Linear Algebra
• Neal’s Intro to Causal Inference
• https://socviz.co/

Friendly / semitechnical

• Calculus Made Easy
• Full Frontal Calculus: An Infinitesimal Approach
• Information Theory: A Tutorial Introduction
• Street-Fighting Mathematics
• Reuben Hersh
• Proofs and Refutations
• Number Theory, by Edit Gyarmati, Paul Turán, and Róbert Freud
• The Symmetries of Things by John H. Conway, Heidi Burgiel, and Chaim Goodman- Strauss
• Origami Journey: Into the Fascinating World of Geometric Origami, by Dasa Severova.
• Crocheting Adventures With Hyperbolic Planes, by Daina Taimina.
• Prime Climb, by Dan Finkel and friends
• An Imaginary Tale: The Story of √−1, by Paul Nahin
• A Topological Picturebook, by George Francis
• Mathematical Snapshots, by Hugo Steinhaus
• Fads and Fallacies (1957, originally 1952)
• Mathematics, Magic and Mystery
• Annotated Alice: The Definitive Edition 
• The Whys of a Philosophical Scrivener
• Can one hear the shape of a drum, by Mark Kac
• How long is the coast of Britain, by Benoit Mandelbrot.
• Eric Temple Bell’s Men of Mathematics
• Mathematics Made Difficult

CS

• Algorithmics: The Spirit of Computing

Machine learning

• The Sciences of the Artificial
• Grokking Deep Learning, Trask
• Paradigms of Artificial Intelligence Programming: Case Studies in Common LISP
• Nielsen on Neural Networks
• Bayesian optimisation, Garnett
• Principles of Deep Learning Theory
• AIMA

Tools

• Eloquent JS
• why’s poignant guide to ruby
• LYA Haskell
• Functional Programming in Scala
• Seven Languages in Seven Weeks
• Git

Terse

• Halmos, Naive Set Theory
• Jaenich, Topology
• Green, Sequences & Series
• Baker Concise Introduction to the Theory of Numbers
• Cox, The Algebra of Probable Inference
• Conway, the Sensual Quadratic Form
• Surreal Numbers, Knuth
• Serre, A course in Arithmetic
• Samuel, Algebraic theory of numbers
• Artin - The Gamma Function
• Artin - Galois Theory
• Cassels - Lectures on Elliptic Curves
• Adams, Infinite loop spaces
• ATIYAH MACDONALD. Introduction to Commutative Algebra
• Milnor, Topology from the Differentiable Viewpoint
• Humphreys “Introduction to Lie Algebra and Representation Theory”
• Cauchy Schwartz master class by j. Michal steele
• Dirac’s “lectures on QM”.
• E. Landau: Foundations of Analysis,
• B. Mendelson: Intro to topology,
• A Mathematical Gift (I, II, III),
• Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2
• Social Choice and Individual Values

Soc

• The Effect
• Filthy Lucre