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Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions
Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems. The authors are some of the most well-known mathematicians in this innovative field, which is presently undergoing rapid development. The intended audience includes experts in elliptic and parabolic equations who are interested in extending their expertise to the nonlinear setting, as well as Ph.D. or postdoctoral students who want to enter into the most promising research topics in the field.
Anthony and Cleopatra
New Shakespeare, long since out-of-print, is now reissued. Each work contains a lengthy and lively introduction, main text, and substantial notes and glossary.
The Book of Blood
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On the Theory and History of Ideological Production
On the Theory and History of Ideological Production promotes the existence of an ‘ideological unconscious’, understood primarily as a product of social relations, not of the Ideological State Apparatus. Attention focuses upon the transition from feudalism to capitalism, as theorised by the Spanish Marxist and former student of Althusser, Juan Carlos Rodríguez. Theorization of the ‘ideological unconscious’ presupposes a change of terrain from the individual/society opposition to a problematic based on the ‘social formation’. The present text assesses Rodríguez’s work alongside that of his contemporaries, Fredric Jameson, Noam Chomsky, Terry Eagleton, Roy Bhaskar, Slavoj Žižek, and others.
Tides of Revolution
Winner of the 2019 Bolton-Johnson Prize from the Conference on Latin American History This is a book about the links between politics and literacy, and about how radical ideas spread in a world without printing presses. In the late eighteenth and early nineteenth centuries, Spanish colonial governments tried to keep revolution out of their provinces. But, as Cristina Soriano shows, hand-copied samizdat materials from the Caribbean flooded the cities and ports of Venezuela, hundreds of foreigners shared news of the French and Haitian revolutions with locals, and Venezuelans of diverse social backgrounds met to read hard-to-come-by texts and to discuss the ideas they expounded. These networks efficiently spread antimonarchical propaganda and abolitionist and egalitarian ideas, allowing Venezuelans to participate in an incipient yet vibrant public sphere and to contemplate new political scenarios. This book offers an in-depth analysis of one of the crucial processes that allowed Venezuela to become one of the first regions in Spanish America to declare independence from Iberia and turn into an influential force for South American independence.
Brouwer Degree
This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can be approached in various ways depending on the interests of the reader. Unifying this structure is the central role the Brouwer degree plays in nonlinear analysis, which is illustrated with existence, surjectivity, and fixed point theorems for nonlinear mappings. Special attention is paid to the computation of the degree, as well as to the wide array of applications, such as linking, differential and partial differential equations, difference equations, variational and hemivariational inequalities, game theory, and mechanics. Each chapter features bibliographic and historical notes, and the final chapter examines the full history. Brouwer Degree will serve as an authoritative reference on the topic and will be of interest to professional mathematicians, researchers, and graduate students.
Sobolev Maps to the Circle
The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics. By contrast, the study of manifold-valued Sobolev maps is relatively new. The incentive to explore these spaces arose in the last forty years from geometry and physics. This monograph is the first to provide a unified, comprehensive treatment of Sobolev maps to the circle, presenting numerous results obtained by the authors and others. Many surprising connections to other areas of mathematics are explored, including the Monge-Kantorovich theory in optimal transport, items in geometric measure theory, Fourier series, and non-local functionals occurr...
Calculus of Variations on Thin Prestressed Films
This monograph considers the analytical and geometrical questions emerging from the study of thin elastic films that exhibit residual stress at free equilibria. It provides the comprehensive account, the details and background on the most recent results in the combined research perspective on the classical themes: in Differential Geometry – that of isometrically embedding a shape with a given metric in an ambient space of possibly different dimension, and in Calculus of Variations – that of minimizing non-convex energy functionals parametrized by a quantity in whose limit the functionals become degenerate. Prestressed thin films are present in many contexts and applications, such as: gro...
Differential Equations
This volume is an outcome of the EQUADIFF 87 conference in Greece. It addresses a wide spectrum of topics in the theory and applications of differential equations, ordinary, partial, and functional. The book is intended for mathematics and scientists.
