Bøger af Luis Manuel (Instituto Superior Technico Braga de Costa Campos

Focusing on classical mechanics for performance, this work shows how applied mathematics is used in engineering areas. It explores the interplay between physical laws and mathematical methods as the basis for modeling natural phenomena and engineering devices. It discusses multilinear algebra, coordinate transformation, mass distributions, and tensors, covering numerous examples from particle physics, engine design, aeronautics, rigid body dynamics, and more. Each chapter includes problems and step-by-step solutions, encouraging readers to create their own mathematical-physical models.

In a consistent, coherent, and comprehensive presentation, this work emphasizes many analogies: how similar methods can be applied to analogous problems in different areas with their specific interpretations. It gives an overview of the mathematical modeling of physical phenomena and engineering processes, which is unified and includes interdisciplinary areas. The author covers interdisciplinary topics, combing several areas of physics, mixed technologies, and engineering. He explores the interplay between physical laws and mathematical methods as a basis for modeling natural phenomena and engineering devices.