Mathematics and Statistics

How mathematics and physical forces shape the forms of living things.

The founding of game theory: expected utility and strategy among interacting players.

How biased samples, chosen averages and cut-off chart axes make numbers mislead.

An asset's risk depends on how it moves with the rest of the portfolio.

Conflict as bargaining: commitment, credible threats and focal points.

The first proven way to beat blackjack, by counting the cards left in the deck.

How a mind could arise from parts, traced through Godel, Escher and Bach.

Computer tournaments of the prisoner's dilemma show why tit-for-tat wins.

MIT's introductory computer science text, taught through Lisp and Scheme.

Game theory without maths: look forward, reason back, and make threats credible.

How people learned to measure risk, from early probability to portfolio theory.

Stock, bond and bill returns for sixteen countries from 1900 to 2000.

How the Oakland A's won on a small payroll by buying players the market undervalued.

Why organisms, cities and companies follow power laws set by their supply networks.

How the science of cause and effect moved past 'correlation is not causation'.

Control and communication in animals and machines run on the same principles.

The graduate engineering text on probability and stochastic processes.

Von Neumann, game theory and the prisoner's dilemma in nuclear strategy.

Decades of US stock data testing which selection rules have beaten the market.

A mathematical theory of causation for statistics, AI, economics and science.

The Kelly criterion for sizing bets, from Bell Labs to casinos and hedge funds.

Game theory without maths, with new examples: commitment, signals, bargaining.

How randomness shapes our lives, the history of probability, and why we misread it.

A practical guide to causal inference: regression, instruments, differences.

The mathematics of risk parity: risk contributions and risk budgeting.

Statistics without the maths, for reading claims: averages, correlation, regression.

How calculus works and how it made modern technology possible.

Power laws, scaling and critical points across physical and social systems

How evidence and probability were reasoned about before formal statistics

A mathematician's own losses used to explain market probability errors

Calibration and the value of information applied to intangibles.

Freedman on regression's assumptions and the causal claims it cannot support

Edited volume of collected papers.

A risk manager's history of quantitative risk and what value-at-risk is for.

How physicists and mathematicians came to run money; useful context for Simons.

The cross-sectional testing methods behind every factor claim.

Network science on how success and reputation compound unequally

Technical companion to the Incerto; free preprint on arXiv

How the concept of number evolved from prehistoric times to the twentieth century.

Analytic philosophy and logic presented through humour

How to show complex information on flat paper or screens, with many examples.

Optimal-f and the practical arithmetic of fractional betting.

The technical reference on extreme value theory for insurance and finance

The statistical tools of empirical finance and the questions they test.

What each econometric technique is for, what it assumes and what goes wrong.

Techniques for mathematical modelling, aimed at simple, efficient computer code.

Log-periodic power laws as a physicist's model of crash formation

Compact mathematical treatment of derivative pricing and its applications

Riemann's 1859 hypothesis on prime numbers, unsolved for 150 years.

Why standard finance models understate market risk, from fractal geometry's creator.

Nearly 200 entries by leading mathematicians on modern maths and its core ideas.

Why some forecasts succeed and most fail, from weather to earthquakes and economics.

Results in quantum field theory obtained by topological methods.

A condensed course in the fundamentals of mathematics, physics and calculus.

The hypothesis that physical reality is a mathematical structure, through physics.

Expert entries on applied maths: concepts, modelling, simulation and applications.

Graduate geometry of surfaces, transformation groups, fields and manifolds.

Short math and logic puzzles, from the mutilated chessboard to the fork in the road.

Euclid's first six books, with diagrams and proofs drawn in bright coloured shapes.

A primer on the theory of games of strategy, written for non-specialists.