Lei Fu Knihy

Focusing on etale cohomology within arithmetic geometry, this book presents essential topics from SGA 1, SGA 4, SGA 4 1/2, and SGA 5. Key subjects include decent theory, etale fundamental groups, Galois cohomology, derived categories, and duality, along with base change theorems and l-adic cohomology. Readers should have a foundational understanding of algebraic geometry and advanced commutative algebra to fully engage with the material.

Focusing on advancements in computational fluid dynamics, the book explores the limitations of grid-based Eulerian methods, particularly in simulating free surface flows. It introduces the particle-based Lagrangian approach as a novel alternative, highlighting how this method deviates from traditional techniques by utilizing particles for domain discretization instead of grids. This shift enhances the capability to effectively simulate free surface flows, showcasing the potential of gridless methods in hydraulic simulations.