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Reprint of the original, first published in 1840.
This book uses algebraic tools to study the elementary properties of classes of fields and related algorithmic problems. The first part covers foundational material on infinite Galois theory, profinite groups, algebraic function fields in one variable and plane curves. It provides complete and elementary proofs of the Chebotarev density theorem and the Riemann hypothesis for function fields, together with material on ultraproducts, decision procedures, the elementary theory of algebraically closed fields, undecidability and nonstandard model theory, including a nonstandard proof of Hilbert's irreducibility theorem. The focus then turns to the study of pseudo algebraically closed (PAC) fields...
S. Amitsur: Associative rings with identities.- I.N. Herstein: Topics in ring theory.- N. Jacobson: Representation theory of Jordan algebras.- I. Kaplansky: The theory of homological dimension.- D. Buchsbaum: Complexes in local ring theory.- P.H. Cohn: Two topics in ring theory.- A.W. Goldie: Non-commutative localisation.
Panjabi text with parallel English translation of sacred work of Sikhs, attributed to Guru Gobind Singh, 1666-1708.
Self-contained and concise, this Research Note provides a basis to study unsteady flow in saturated porous media. It provides for the development of algorithms that examine three-dimensional flows subject to complicated boundary conditions that are a natural consequence of flow in geological systems. A new way to understand the flow in porous media is presented. The authors pay attention to computational considerations, and options for developing codes are addressed. The note consists of five chapters: the first is introductory; the second and third are devoted to showing how one arrives at the solutions of interest; the fourth chapter presents various reformulations to aid computations and presents a few illustrative examples; the fifth chapter is a natural progression of the first four chapters to more complicated visualizations of flow in porous media.
Filling the most glaring gap in Shrivaishnava scholarship, this book deals with the history of interpretation of a theological concept of self-surrender-prapatti in late twelfth and thirteenth century religious texts of the Shrivaishnava community of South India. This original study shows that medieval sectarian formation in its theological dimension is a fluid and ambivalent enterprise, where conflict and differentiation are presaged on ""sharing"", whether of a common canon, saint or rituals or two languages (Tamil and Sanskrit), or of a ""meta-social"" arena such as the temple.