This Volume covers the formation of carbon-carbon single-, double- and triple bonds by substitution and addition reactions as well as by various rearrangements. The formation of carbon-carbon multiple bonds by elimination and condensation procedures is fully documented. In addition the synthesis of carbon-hydrogen bonds principally by substitution and addition reactions is featured as is the preparation of a wide variety of carbon-centred anions, cations and radicals.

Book IV continues the discussion begun in the first three volumes. Although it is aimed at first-year graduate students, it is also intended to serve as a basic reference for people working in affine differential geometry. It also should be accessible to undergraduates interested in affine differential geometry. We are primarily concerned with the study of affine surfaces {which} are locally homogeneous. We discuss affine gradient Ricci solitons, affine Killing vector fields, and geodesic completeness. Opozda has classified the affine surface geometries which are locally homogeneous; we follow her classification. Up to isomorphism, there are two simply connected Lie groups of dimension 2. The translation group R2 is Abelian and the + group\index{ax+b group} is non-Abelian. The first chapter presents foundational material. The second chapter deals with Type surfaces. These are the left-invariant affine geometries on R2. Associating to each Type surface the space of solutions to the quasi-Einstein equation corresponding to the eigenvalue =-1$ turns out to be a very powerful technique and plays a central role in our study as it links an analytic invariant with the underlying geometry of the surface. The third chapter deals with Type surfaces; these are the left-invariant affine geometries on the + group. These geometries form a very rich family which is only partially understood. The only remaining homogeneous geometry is that of the sphere 2. The fourth chapter presents relations between the geometry of an affine surface and the geometry of the cotangent bundle equipped with the neutral signature metric of the modified Riemannian extension.

John Meier's previous volumes in the acclaimed series A Marginal Jew are founded upon the notion that while solid historical information about Jesus is quite limited, people of different faiths can nevertheless arrive at a consensus on fundamental historical facts of his life. In this eagerly anticipated fourth volume in the series, Meier approaches a fresh topic-the teachings of the historical Jesus concerning Mosaic Law and morality-with the same rigor, thoroughness, accuracy, and insightfulness on display in his earlier works.