# Books

Books by Vadim Sokolov and coauthors. Each book is free to read as a PDF, and its source and code are on GitHub.

## [Clinical Trials in Practice](https://vsokolov.org/books/clinical_trials_in_practice/) <small>From Foundations to AI Agents</small>

[![Clinical Trials in Practice: From Foundations to AI Agents](https://vsokolov.org/books/clinical_trials_in_practice/cover.jpg)](https://vsokolov.org/books/clinical_trials_in_practice/) Alexandra Sokolova and Vadim Sokolov. 2026. Edition 1.

A practical guide to clinical trials as science and as regulated operations: the phases, statistics and design, the daily work of a Phase III study, regulatory submission, and where AI agents belong in clinical development.

[![PDF](https://vsokolov.org/books/icon-pdf.svg)](https://github.com/VadimSokolov/clinical_trials_in_practice/releases/download/v1.0.0/clinical_trials_in_practice.pdf "PDF") [![Online edition](https://vsokolov.org/books/icon-web.svg)](https://vsokolov.org/clinical_trials_in_practice/ "Online edition") [![Source on GitHub](https://vsokolov.org/books/icon-github.svg)](https://github.com/VadimSokolov/clinical_trials_in_practice "Source on GitHub") [![DOI 10.5281/zenodo.23330460](https://zenodo.org/badge/DOI/10.5281/zenodo.23330460.svg)](https://doi.org/10.5281/zenodo.23330460)

## [On Hilbert's 6th Problem](https://vsokolov.org/books/hilbert6/) <small>Probability, Mechanics and Bayesian Computation</small>

[![On Hilbert's 6th Problem: Probability, Mechanics and Bayesian Computation](https://vsokolov.org/books/hilbert6/cover.jpg)](https://vsokolov.org/books/hilbert6/) Nick Polson and Vadim Sokolov. 2026. Edition 1.

Hilbert's sixth problem from Kolmogorov's axioms and the Boltzmann equation to the Navier Stokes equations, and the inverse passage: Bayesian estimation on the solution manifold of a differential equation, where the adjoint evolution of the data is a sufficient statistic for linear equations.

[![PDF](https://vsokolov.org/books/icon-pdf.svg)](https://github.com/VadimSokolov/hilbert6/releases/download/v1.0.0/hilbert6.pdf "PDF") [![Source on GitHub](https://vsokolov.org/books/icon-github.svg)](https://github.com/VadimSokolov/hilbert6 "Source on GitHub") [![DOI 10.5281/zenodo.23327515](https://zenodo.org/badge/DOI/10.5281/zenodo.23327515.svg)](https://doi.org/10.5281/zenodo.23327515) [![Paperback, available at Amazon](https://vsokolov.org/books/available-at-amazon.png)](https://www.amazon.com/dp/B0HMV1WFRD "Paperback on Amazon")

Each book has a page with its description and how to cite it. A book with results also has its main results on that page and a page with all its results chapter by chapter with their numbers.