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Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings.   This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work.

Mathematical optimization. --- Mathematics. --- Systems theory. --- Mathematical analysis --- Nonlinear theories --- Mathematical optimization --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Applied Mathematics --- Operations Research --- Nonlinear theories. --- Differential equations, Nonlinear. --- Nonlinear differential equations --- Nonlinear problems --- Nonlinearity (Mathematics) --- Approximation theory. --- System theory. --- Optimization. --- Approximations and Expansions. --- Systems Theory, Control. --- Calculus --- Mathematical physics --- Math --- Science --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Systems, Theory of --- Systems science --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Philosophy --- Rassias, Themistocles M., --- Rassias, Th. M. --- Rassias, Themistoklēs M.,

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In this book, Sara Monoson challenges the longstanding and widely held view that Plato is a virulent opponent of all things democratic. She does not, however, offer in its place the equally mistaken idea that he is somehow a partisan of democracy. Instead, she argues that we should attend more closely to Plato's suggestion that democracy is horrifying and exciting, and she seeks to explain why he found it morally and politically intriguing. Monoson focuses on Plato's engagement with democracy as he knew it: a cluster of cultural practices that reach into private and public life, as well as a set of governing institutions. She proposes that while Plato charts tensions between the claims of democratic legitimacy and philosophical truth, he also exhibits a striking attraction to four practices central to Athenian democratic politics: intense antityrantism, frank speaking, public funeral oratory, and theater-going. By juxtaposing detailed examination of these aspects of Athenian democracy with analysis of the figurative language, dramatic structure, and arguments of the dialogues, she shows that Plato systematically links democratic ideals and activities to philosophic labor. Monoson finds that Plato's political thought exposes intimate connections between Athenian democratic politics and the practice of philosophy. Situating Plato's political thought in the context of the Athenian democratic imaginary, Monoson develops a new, textured way of thinking of the relationship between Plato's thought and the politics of his city.

Democracy --- History --- Plato --- Views on democracy --- -Self-government --- Political science --- Equality --- Representative government and representation --- Republics --- -Aflāṭūn --- Aplaton --- Bolatu --- Platon, --- Platonas --- Platone --- Po-la-tʻu --- Pʻŭllatʻo --- Pʻŭllatʻon --- Pʻuratʻon --- Πλάτων --- אפלטון --- פלאטא --- פלאטאן --- פלאטו --- أفلاطون --- 柏拉圖 --- 플라톤 --- History. --- Views on democracy. --- Self-government --- Aflāṭūn --- Plato. --- Platon --- Platoon --- Платон --- プラトン --- Democracy - Greece - Athens - History --- Plato - Views on democracy --- Aeschylus. --- Against Timarchus. --- Allan Bloom. --- Allegory of the Cave. --- Allusion. --- Ancient Greece. --- Aristotle. --- Athenian Democracy. --- Bribery. --- Callicles. --- Cambridge University Press. --- Citizenship. --- Classical Athens. --- Constitution of the Athenians. --- Critias (dialogue). --- Critias. --- Criticism of democracy. --- Criticism. --- Critique. --- Deliberation. --- Democracy. --- Democratic ideals. --- Demosthenes. --- Ethics. --- Ethos. --- Euripides. --- Exclusion. --- Explanation. --- Fifth-century Athens. --- Funeral oration (ancient Greece). --- Glaucon. --- Gorgias (dialogue). --- Gorgias. --- Greatness. --- Greek tragedy. --- Harmodius and Aristogeiton (sculpture). --- Harmodius and Aristogeiton. --- Herodotus. --- Idealization. --- Ideology. --- Imagery. --- Institution. --- Isocrates. --- Isonomia. --- Josiah Ober. --- Literature. --- Martha Nussbaum. --- Masculinity. --- Menexenus (dialogue). --- Metaphor. --- Metic. --- Multitude. --- Narrative. --- Oligarchy. --- One Hundred Years of Homosexuality. --- Oxford University Press. --- Parrhesia. --- Pederasty in ancient Greece. --- Pericles' Funeral Oration. --- Pericles. --- Phaedrus (dialogue). --- Philosopher. --- Philosophy. --- Pierre Vidal-Naquet. --- Platonic Academy. --- Political dissent. --- Political philosophy. --- Political science. --- Politics. --- Princeton University Press. --- Protagoras. --- Reason. --- Republic (Plato). --- Rhetoric. --- SAGE Publications. --- Self-image. --- Sheldon Wolin. --- Slavery. --- Socratic dialogue. --- Socratic. --- Sophist. --- Sophistication. --- Suggestion. --- The Erotic. --- The Other Hand. --- The Philosopher. --- Theatre of Dionysus. --- Themistocles. --- Theory. --- Thomas Pangle. --- Thought. --- Thucydides. --- Tragedy. --- Tyrannicide. --- Tyrant. --- Voting. --- Wealth. --- Writing. --- Yale University Press.