An Introduction to Nonsmooth Analysis
by Juan Ferrera
An Introduction to Nonsmooth Analysis by Juan Ferrera introduces the core principles of nonsmooth analysis, focusing on tools like subdifferentials for handling non-differentiable functions. Ideal for mathematicians interested in optimization and variational analysis, it provides a thorough theoretical framework with practical implications in mathematical modeling and control theory.
About This Book
An Introduction to Nonsmooth Analysis serves as a comprehensive guide to the principles and methods of nonsmooth analysis. Authored by Juan Ferrera, it delves into the theoretical underpinnings that distinguish nonsmooth functions from their smooth counterparts.
The text covers key concepts such as subdifferentials and generalized derivatives, which are crucial for analyzing non-differentiable functions in mathematical modeling. It emphasizes practical applications in areas like optimization and control theory.
Designed for students and researchers, the book builds a solid foundation through rigorous proofs and examples. It highlights the importance of nonsmooth analysis in modern mathematics, particularly where traditional smooth methods fall short.
Ferrera's approach ensures accessibility while maintaining depth, making it a valuable resource for advancing knowledge in this specialized field.
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