Markov: The Calculus of Probabilities (1900)
by Andrei A. Markov
Translated by Valery Manokhin, PhD
The foundational 1900 work on probability theory by the mathematician who gave us Markov chains. A modern annotated English translation.
Where this fits in school — US, UK and Canada ↓Adults and self-learners welcome — great mathematics has no age limit.
Where this fits in school
Not sure this is the right first book? Start here →Full curriculum table — every book by school year →| United States | 12 and university | University probability — the binomial law and the law of large numbers |
|---|---|---|
| England | Year 13 and university | A-level Statistics reaches the results; the proofs are undergraduate |
| Canada (Ontario) | Beyond MDM4U | first-year university · QC CEGEP |
Not covered in this book
statistics and data handling
Source these strands elsewhere. They are missing from the book, not from this description.
How this book fits
See the whole sequence →Work through first
- Kiselev's Calculus$54.95
Problems to work alongside it
- Gunter & Kuzmin$99.95
- Gunter & Kuzmin, Part I$64.95
- Gunter & Kuzmin, Part II$54.95
Further reading
A historical text to read beside the course, not a substitute for it.
Table of contents
11 section headings — the printed contents page in full.
Fundamental Concepts and Theorems4 sections
- The Concept of Probability
- An Illustrative Example
- Fundamental Theorems of the Calculus of Probabilities
- Theorem of Multiplication of Probabilities
On Repeated Trials7 sections
- Repeated trials. Independent trials
- General formulas
- A special case
- Further conclusions
- Laplace's theorem
- Proof of Bernoulli's theorem
- Final remarks
Formats and editions
| Format | List price (USD) | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Digital edition | $59.95 | — | Gumroad · Read online | Buy → |
| Kindle | $64.95 | — | Amazon | Buy → |
| Paperback | $64.95 | 978-1-919012-17-9 | Amazon | Buy → |
| Hardcover | $109.95 | 978-1-919012-18-6 | Amazon | Buy → |
List price: the US publisher list price in USD, shown for reference. Amazon sets its own price in each store — see the current price on Amazon. The Gumroad price is the price charged.
The digital edition is read online in the Gumroad reader. It is not a downloadable file.
Product details
- Publisher
- Northern Star Academic Press
- Language
- English
- Translator
- Valery Manokhin, PhD
- First published
- 2026-07-14
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
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