Math for the age of intelligent machines
Master the mathematical foundations for data science, machine learning, and artificial intelligence.
Prerequisites: Complete the foundations path first.
Visualize your learning journey. Click on any stage (branch) to see the recommended books for that subject. Topics are shown as leaves on each branch.
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This path is divided into 4 stages covering 23 topics. Work through each stage in order for the best learning experience.
Single and multivariable calculus for understanding optimization and change.
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James Stewart
Thomas
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Chris McMullen
The language of data transformations and machine learning algorithms.
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Howard Anton
Schaum's
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Friedberg, Insel & Spence
Understanding uncertainty and making inferences from data.
Sheldon Ross
Weiss
John Rice
Modeling dynamic systems and continuous processes.
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Dennis Zill
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Nagle, Saff & Snider
Schaum's
Complete list of 12 recommended books across all stages. You don't need to buy them all — pick what works for you.
by James Stewart
Perhaps the most popular calculus book in the world. Same author as the precalc books.
by Thomas
Legendary book used for decades. 13th edition. Incredible with tons of exercises and great explanations.
by Chris McMullen
Better than the single variable workbook! Great examples for multivariable calculus. Super affordable.
by Howard Anton
Best for beginners! Very standard problems that often show up on tests. Highly recommended.
by Schaum's
Very comprehensive with lots of examples and topics. Great reference and source of problems.
by Friedberg, Insel & Spence
Modern version of Hoffman-Kunze. Great reference with excellent index. Super affordable.
by Sheldon Ross
Nice thin book with fantastic examples. Some calculus required (triple integrals).
by Weiss
Perfect for beginners in statistics. Standard modern textbook with tons of examples.
by John Rice
Advanced book with lots of math. Requires calculus. Expect to struggle but worth it.
by Dennis Zill
Used to teach DE for many years. Easier than Nagle. Great beginner DE book.
by Nagle, Saff & Snider
Used as undergrad. Great book with solid examples, tons of content, answers to odd problems.
by Schaum's
One of the better Schaum's outlines. Lots of examples. Could learn DE on your own but better as supplement.
Complete this path and continue your mathematical journey.