"This elegant introduction to symplectic geometry and Lagrangian foliations is suitable for students at both the undergraduate and the graduate level. It includes both new expositions of standard material and new material that has not appeared in book form previously, and provides a systematic study of bi-Lagrangian geometry"--

M.J.D. Hamilton has been teaching mathematics at all levels at Ludwig-Maximilians-Universität München and Universität Stuttgart for the past fifteen years. He is interested in the interactions of geometry and theoretical physics, and is known for his successful transfer of ideas between the two subjects. He is the author of the acclaimed textbook 'Mathematical Gauge Theory' (2017).

1. Introduction; 2. Linear algebra and bundle theory; 3. Symplectic geometry; 4. Foliations and connections; 5. Künneth structures; 6. The Künneth connection; 7. The curvature of a Künneth structure; 8. Hypersymplectic geometry; 9. Nilmanifolds; 10. Four-manifolds.