Open books by Gabriel Peyré
Understand the ideas behind the methods. Three books connect mathematical theory with the study of signals, images, and learning.
Find your next bookRead a complete book or choose a chapter.
All editions are freely available.
The mathematical foundations
From Fourier analysis and wavelets to inverse problems, optimization, and machine learning.
For readers comfortable with linear algebra, calculus, and probability.
19 chapters · PDF & interactive edition
Algebra meets computation
The DAFT book: finite groups, Fourier transforms, fast algorithms, and error-correcting codes.
For readers with a background in linear algebra and elementary algebra.
8 chapters · PDF & Python examples
A first mathematical journey
Five illustrated introductions to information, images, sparsity, optimal transport, and neural networks.
Start with elementary algebra and probability; build toward more advanced ideas.
5 chapters · English & French PDFs
Beyond the books
Companion resources to see the ideas in action and follow them further.
Learn through computational experiments: Python notebooks on images, optimization, geometry, and machine learning.
Explore the notebooksA searchable collection of interactive notebooks and visual explanations, bringing mathematical ideas into view.
Visit the collectionBrowse algorithms and mathematical models by subject, from coding and graphs to numerical analysis and learning.
Browse the directoryTwo teaching collections covering signal and image processing, and the geometry of surfaces and meshes.
Find a slide deckA guided course · Ten two-hour lectures
From gradients and sparse models to neural networks, generative models, and optimal transport. Follow the lectures with transcripts, notebooks, and slides.
