Addressing vital issues in the current revision of American literary studies, Olaf Hansen carries out an exposition of American writing as a philosophical tradition. His broad and comparative view of American culture reveals the importance of the American allegory as a genuine artistic and intellectual style and as a distinct mode of thought particularly suited to express the philosophical legacy of transcendentalism. Hansen traces intellectual and cultural continuities and disruptions from Emerson through Thoreau and Henry Adams to William James, paying special attention to the modernism of transcendental thought and to its quality as a valid philosophy in its own right. Concerned with defining ideas of self, selfhood, and subjectivity and with moral tradition as an act of creating order out of the cosmos, the American allegory provided a basic and frequently overlooked link between transcendentalism and pragmatism. Its "suggestive incompleteness" combined in a highly dialectic manner the essence of both enlightenment and romanticism. Characterized neither by absolute objectivity nor by absolute subjectivity, it allowed speculation about the meaning of reality and about humankind's place in a realm of appearances. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that are diffeomorphic to the unit disk, in two dimensions, and the unit ball, in three dimensions. The speed of convergence of spectral methods is usually much higher than that of finite element or finite difference methods. Features Introduces the use of multivariate polynomials for the construction and analysis of spectral methods for linear and nonlinear boundary value problems Suitable for researchers and students in numerical analysis of PDEs, along with anyone interested in applying this method to a particular physical problem One of the few texts to address this area using multivariate orthogonal polynomials, rather than tensor products of univariate polynomials.
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