The provided text is the preface and table of contents for the book "Nonsmooth Analysis and Control Theory" by F.H. Clarke, R.J. Stern, Yu.S. Ledyaev, and P.R. Wolenski. The book is part of the Graduate Texts in Mathematics series published by Springer. It covers the essential aspects of nonsmooth analysis, a field that deals with differential analysis in the absence of differentiability, and its applications in various areas such as functional analysis, optimization, control theory, and differential equations. The preface highlights the rapid growth of nonsmooth analysis and its importance in understanding nondifferentiable phenomena. The authors aim to present the subject clearly and succinctly, with a focus on key concepts and applications. The book is structured into several chapters, including an introduction, proximal analysis in Hilbert space, generalized gradients in Banach space, special topics such as constrained optimization and mean value inequalities, and an introduction to control theory for ordinary differential equations. The table of contents lists the chapters and sections, with a focus on providing a comprehensive yet concise overview of the subject. The book includes numerous exercises and references to help readers deepen their understanding. The authors also provide suggestions for readers with different levels of background and time availability. The preface concludes with acknowledgments and a note on the death of Andrei Subbotin, a significant contributor to the field.The provided text is the preface and table of contents for the book "Nonsmooth Analysis and Control Theory" by F.H. Clarke, R.J. Stern, Yu.S. Ledyaev, and P.R. Wolenski. The book is part of the Graduate Texts in Mathematics series published by Springer. It covers the essential aspects of nonsmooth analysis, a field that deals with differential analysis in the absence of differentiability, and its applications in various areas such as functional analysis, optimization, control theory, and differential equations. The preface highlights the rapid growth of nonsmooth analysis and its importance in understanding nondifferentiable phenomena. The authors aim to present the subject clearly and succinctly, with a focus on key concepts and applications. The book is structured into several chapters, including an introduction, proximal analysis in Hilbert space, generalized gradients in Banach space, special topics such as constrained optimization and mean value inequalities, and an introduction to control theory for ordinary differential equations. The table of contents lists the chapters and sections, with a focus on providing a comprehensive yet concise overview of the subject. The book includes numerous exercises and references to help readers deepen their understanding. The authors also provide suggestions for readers with different levels of background and time availability. The preface concludes with acknowledgments and a note on the death of Andrei Subbotin, a significant contributor to the field.