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This volume is dedicated to the fundamentals of convex functional analysis. It presents those aspects of functional analysis that are extensively used in various applications to mechanics and control theory.
The purpose of the text is essentially two-fold. On the one hand, a bare minimum of the theory required to understand the principles of functional, convex and set-valued analysis is presented. Numerous examples and diagrams provide as intuitive an explanation of the principles as possible. On the other hand, the volume is largely self-contained. Those with a background in graduate mathematics will find a concise summary of all main definitions and theorems.
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"The book provides not only the bare minimum of the theory required to understand the principles of functional, convex and set-valued analysis, but also a concise summary of definitions and theorems so that the text is self-contained." ―Zentralblatt MATH
"This book...is intended as a textbook for classes in variational calculus and applied functional analysis for graduate students in engineering and applied mathematics.... The book is the result of the courses taught by the authors through the years and tries to address the different backgrounds [that] different types of students come in with when taking these courses. The topics covered provide both a treatment of the theoretical aspects of functional analysis, as well as their applications to variational calculus, mechanics and control theory.... I am sure that many instructors seeking a textbook for a course on the applications of functional analysis for engineering or applied mathematics students will find this text very useful." ―MAA Reviews
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