A Mathematician's Journey into the World of Mechanics
Focusing on the intersection of nature and mathematics, the book delves into the principles of mechanics and the mathematical concepts that underpin mechanical applications. It invites readers to explore the reasons behind using mathematical tools to describe natural phenomena, offering insights into the foundational ideas that shape our understanding of the physical world.
This book provides a concise introduction to functional analysis and its applications in continuum mechanics, blending abstract mathematical concepts with physical ideas. The second edition features expanded coverage, a comprehensive set of exercises with solutions, and a new appendix of essential inequalities. It is suitable for graduate students and researchers in related fields.
This book covers functional analysis and its applications to continuum mechanics. The mathematical material is treated in a non-abstract manner and is fully illuminated by the underlying mechanical ideas. The presentation is concise but complete, and is intended for specialists in continuum mechanics who wish to understand the mathematical underpinnings of the discipline. Graduate students and researchers in mathematics, physics, and engineering will find this book useful. Exercises and examples are included throughout with detailed solutions provided in the appendix.