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This book presents a unified theory of convex functions, sets, and set-valued mappings in topological vector spaces with its specifications to locally convex, Banach and finite-dimensional settings. These developments and expositions are based on the powerful geometric approach of variational analysis, which resides on set extremality with its characterizations and specifications in the presence of convexity. Using this approach, the text consolidates the device of fundamental facts of generalized differential calculus to obtain novel results for convex sets, functions, and set-valued mappings in finite and infinite dimensions. It also explores topics beyond convexity using the fundamental m...
InYou Can’t Make This Up! the author invites both emerging educational leaders and practicing school administrators to read a series of short stories recounted by principals and vice principals employed in schools across the United States, in Germany and Cyprus. This collection of present-day stories highlights the types of challenges school leaders encounter on a daily basis, all of which demand informed decisions, but none of which are easily resolved. Each story is presented in a case study format, and aligned with selected elements within one of the ten Professional Standards for Educational Leadership (PSEL). At a critical juncture in each case, a series of “questions to ponder” is presented, followed by a segment describing “what actually occurred?”
This book constitutes the proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021. The 29 full papers and 1 short paper presented in this volume were carefully reviewed and selected from 102 submissions. Additionally, 2 full invited papers are presented in the volume. The papers are grouped in the following topical sections: combinatorial optimization; mathematical programming; bilevel optimization; scheduling problems; game theory and optimal control; operational research and mathematical economics; data analysis.
This book constitutes refereed proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021. Due to the COVID-19 pandemic the conference was held online. The 31 full papers and 3 short papers presented in this volume were carefully reviewed and selected from a total of 102 submissions. The papers in the volume are organised according to the following topical headings: continuous optimization; integer programming and combinatorial optimization; operational research applications; optimal control.
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This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book ...
Nicholas Murray's The Rocky Road to the Great War examines the evolution of field fortification theory and practice between 1877 and 1914. During this period field fortifications became increasingly important, and their construction evolved from primarily above to below ground. The reasons for these changes are crucial to explaining the landscape of World War I, yet they have remained largely unstudied. The transformation in field fortifications reflected not only the ongoing technological advances but also the changing priorities in the reasons for constructing them, such as preventing desertion, protecting troops, multiplying forces, reinforcing tactical points, providing a secure base, an...
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