The doctrine of karman, the law of action and its results that is central to Jainism, Hinduism, and Buddhism, is uniquely formulated in Jain philosophy. Simply stated, karman is here considered to take the form of material particles, which inhere in the soul, thus causing bondage. This process and its rationale, how it occurs and how one stops it, are minutely detailed in the Jain Karma-granthas. They also describe how one rids oneself of the karmic particles already accumulated, thus attaining liberation. The Karma-granthas form the basis of the present book, the only book in English on this subject of fundamental importance.

“[A]n autobiography that, happily, is an engrossing, full-bodied reflection of the man, a neatly balanced combination of technical insights and always pertinent, often irreverent anecdotes... an upbeat tale of a man who had a great love of life and a well-merited sense of achievement, told with genuine gusto and fascinating detail.” — Richard Witkin, The New York Times “It is the triumph of this book that it manages to combine a chatty, anecdotal, and highly readable tale of a distinguished scientist’s everyday life with a substantial number of penetrating insights into the creative process.” — I. B. Holley, Jr., Science “The present biography is eminently readable, sometimes puckish, and von Karman himself is rather inspiring in his faith in science.” — Kirkus “Every paragraph grips the reader’s attention... a book almost impossible to put down until it is read.” — Aerospace Historian “This account of von Kármán’s life and his contributions to the science of aerodynamics is most fascinating reading.” — The Science Teacher “Every page of this superb classic is infused with von Karman’s humanity. As his narrative makes clear, he was not simply a clever technician but a man of character whose vision advanced the aerospace sciences and fostered international cooperation.” — Aviation History

In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: (i) we- posedness of the model, including existence and uniqueness of solutions; and (ii) qualitative properties of solutions. A positive answer to the ?rst question, - ing of prime interest on purely mathematical grounds, also provides an important test of the viability of the model as a description of a given physical phenomenon. An answer or insight to the second question provides a wealth of information about the model, hence about the process it describes. Of particular interest are questions related to long-time behavior of solutions. Such an evolution property cannot be v- i?ed empirically, thus any in a-priori information about the long-time asymptotics can be used in predicting an ultimate long-time response and dynamical behavior of solutions. In recent years, this set of investigations has attracted a great deal of attention. Consequent efforts have then resulted in the creation and infusion of new methods and new tools that have been responsible for carrying out a successful an- ysis of long-time behavior of several classes of nonlinear PDEs.

In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and the other elliptic. These systems take their name from a formal analogy with the von Karman equations in the theory of elasticity in two dimensional space. We establish local (respectively global) results for strong (resp., weak) solutions of these problems and corresponding well-posedness results in the Hadamard sense. Results are found by obtaining regularity estimates on solutions which are limits of a suitable Galerkin approximation scheme. The book is intended as a pedagogical introduction to a number of meaningful application of classical methods in nonlinear Partial Differential Equations of Evolution. The material is self-contained and most proofs are given in full detail. The interested reader will gain a deeper insight into the power of nontrivial a priori estimate methods in the qualitative study of nonlinear differential equations.

The theory is also applied to find the downwash distribution in the plane of the wing on which the pressure distribution is preassigned. A number of examples are given.

The renowned Italian philosopher offers a penetrating analysis of judgment, guilt, free will, and society in this brief yet profoundly original treatise. What does it mean to be responsible for our actions? In this brief and elegant study, Giorgio Agamben traces our most profound moral intuitions back to their roots in the sphere of law and punishment. Moral accountability, human free agency, and even the very concept of cause and effect all find their origin in the language of the trial, which Western philosophy and theology both transform into the paradigm for all of human life. In his search for a way out of this destructive paradigm, Agamben not only draws on minority opinions within the Western tradition but engages at length with Buddhist texts and concepts for the first time. In sum, Karman deepens and rearticulates some of Agamben’s core insights while breaking significant new ground.