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Geometry
This is a guided tour of geometry, from Euclid through to algebraic geometry for students with little or no geometry studies. It shows how mathematicians use a variety of techniques to tackle problems, and links geometry to other branches of mathematics. It is a teaching text, with large numbers of exercises woven into the exposition. Topics covered include: ruler and compass constructions, transformations, triangle and circle theorems, classification of isometries and groups of isometries in dimensions 2 and 3, Platonic solids, conics, similarities, affine, projective and Mobius transformations, non-Euclidean geometry, projective geometry, and the beginnings of algebraic geometry.
Wills and Administrations of Isle of Wight County, Virginia, 1647-1800
The original records on file in Isle of Wight County and abstracted in this work are: Wills and Administrations Book A (1641-1650); Will and Deed Books 1 and 2 (1658-1659, 1666-1719); Will Books 3-11 (1726-1800); Deed Book I (1691-1695); Administrations and Probates (1666-1701); and The Great Book (1719-1729). In addition to the names of the testators and legatees, the entries provide the names of executors, securities, and witnesses and frequently include assignments of property.
Ring Theory
Ring Theory provides information pertinent to the fundamental aspects of ring theory. This book covers a variety of topics related to ring theory, including restricted semi-primary rings, finite free resolutions, generalized rational identities, quotient rings, idealizer rings, identities of Azumaya algebras, endomorphism rings, and some remarks on rings with solvable units. Organized into 24 chapters, this book begins with an overview of the characterization of restricted semi-primary rings. This text then examines the case where K is a Hensel ring and A is a separable algebra. Other chapters consider establishing the basic properties of the four classes of projective modules, with emphasis on the finitely generated case. This book discusses as well the non-finitely generated cases and studies infinitely generated projective modules. The final chapter deals with abelian groups G that are injective when viewed as modules over their endomorphism rings E(G). This book is a valuable resource for mathematicians.
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