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 Free Download Bourne-Taylor, "Variations on the Ethics of Mourning in Modern Literature in French " English | ISBN: 1789972736 | 2021 | 332 pages | EPUB, PDF | 700 KB + 23 MB How does modern writing in French grapple with the present absence and absent presence of lost loved ones? This book explores the question from the Revolution to the COVID pandemic, showing how mourning blurs the boundaries between the personal and the historical, the aesthetic and the ethical.  Free Download Hiltrud Otto, "Different Faces of Attachment: Cultural Variations on a Universal Human Need" English | ISBN: 1107027748 | 2014 | 338 pages | PDF | 4 MB Attachment between an infant and his or her parents is a major topic within developmental psychology. An increasing number of psychologists, evolutionary biologists and anthropologists are articulating their doubts that attachment theory in its present form is applicable worldwide, without, however, denying that the development of attachment is a universal need. This book brings together leading scholars from psychology, anthropology and related fields to reformulate attachment theory in order to fit the cultural realities of our world. Contributions are based on empirical research and observation in a variety of cultural contexts. They are complemented by careful evaluation and deconstruction of many of the underlying premises and assumptions of attachment theory and of conventional research on the role of infant-parent attachment in human development. The book creates a contextual cultural understanding of attachment that will provide the basis for a groundbreaking reconceptualization of attachment theory.  Free Download Diane Apostolos-Cappadona, "Variations in Christian Art: Mennonite, Mormon, Quaker, and Swedenborgian" English | ISBN: 0567698122 | 2024 | 392 pages | EPUB | 14 MB  Free Download I. M. Gelfand, S. V. Fomin, "Calculus of Variations (Dover Books on Mathematics)" English | 2000 | pages: 256 | ISBN: 0486414485, 0131122924 | EPUB | 17,8 mb Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws.  Free Download A Course in the Calculus of Variations English | 2023 | ISBN: 3031450353 | 338 Pages | PDF EPUB (True) | 32 MB Beginning with the scientific modeling that motivates the subject, the book then tackles mathematical questions such as the existence and uniqueness of solutions, their characterization in terms of partial differential equations, and their regularity. It includes both classical and recent results on one-dimensional variational problems, as well as the adaptation to the multi-dimensional case. Here, convexity plays an important role in establishing semi-continuity results and connections with techniques from optimization, and convex duality is even used to produce regularity results. This is then followed by the more classical Hölder regularity theory for elliptic PDEs and some geometric variational problems on sets, including the isoperimetric inequality and the Steiner tree problem. The book concludes with a chapter on the limits of sequences of variational problems, expressed in terms of Γ-convergence.  Free Download Selected Chapters in the Calculus of Variations by Jürgen Moser , Oliver Knill English | PDF (True) | 2003 | 139 Pages | ISBN : 3764321857 | 9 MB 0.1 Introduction These lecture notes describe a new development in the calculus of variations which is called Aubry-Mather-Theory. The starting point for the theoretical physicist Aubry was a model for the descrip tion of the motion of electrons in a two-dimensional crystal. Aubry investigated a related discrete variational problem and the corresponding minimal solutions. On the other hand, Mather started with a specific class of area-preserving annulus mappings, the so-called monotone twist maps. These maps appear in mechanics as Poincare maps. Such maps were studied by Birkhoff during the 1920s in several papers. In 1982, Mather succeeded to make essential progress in this field and to prove the existence of a class of closed invariant subsets which are now called Mather sets. His existence theorem is based again on a variational principle. Although these two investigations have different motivations, they are closely re lated and have the same mathematical foundation. We will not follow those ap proaches but will make a connection to classical results of Jacobi, Legendre, Weier strass and others from the 19th century. Therefore in Chapter I, we will put together the results of the classical theory which are the most important for us. The notion of extremal fields will be most relevant. In Chapter II we will investigate variational problems on the 2-dimensional torus. We will look at the corresponding global minimals as well as at the relation be tween minimals and extremal fields. In this way, we will be led to Mather sets.  Free Download Partial Differential Equations and Calculus of Variations by Stefan Hildebrandt, Rolf Leis English | PDF | 1988 | 429 Pages | ISBN : 3540505083 | 25.3 MB This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.  Free Download Calculus of Variations and Nonlinear Partial Differential Equations: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27 - July 2, 2005 by Luigi Ambrosio , Luis Caffarelli , Michael G. Crandall , Lawrence C. Evans , Nicola Fusco English | PDF | 2008 | 213 Pages | ISBN : 3540759131 | 2.9 MB This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro (Italy) in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. The topics discussed are transport equations for nonsmooth vector fields, homogenization, viscosity methods for the infinite Laplacian, weak KAM theory and geometrical aspects of symmetrization. A historical overview of all CIME courses on the calculus of variations and partial differential equations is contributed by Elvira Mascolo.  Free Download Yasushi Ishikawa, "Stochastic Calculus of Variations: For Jump Processes Ed 3" English | ISBN: 3110675285 | 2023 | 370 pages | EPUB, PDF | 56 MB + 6 MB This book is a concise introduction to the stochastic calculus of variations for processes with jumps. The author provides many results on this topic in a self-contained way for e.g., stochastic differential equations (SDEs) with jumps. The book also contains some applications of the stochastic calculus for processes with jumps to the control theory, mathematical finance and so. This third and entirely revised edition of the work is updated to reflect the latest developments in the theory and some applications with graphics.  Free Download Adam B Levy, "Optimal Control: From Variations to Nanosatellites " English | ISBN: 3111289834 | 2023 | 176 pages | EPUB, PDF | 15 MB + 25 MB This book may serve as a basis for students and teachers. The text should provide the reader with a quick overview of the basics for Optimal Control and the link with some important conceptes of applied mathematical, where an agent controls underlying dynamics to find the strategy optimizing some quantity. There are broad applications for optimal control across the natural and social sciences, and the finale to this text is an invitation to read current research on one such application. The balance of the text will prepare the reader to gain a solid understanding of the current research they read. |
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