The Algebraic and Geometric Theory of Quadratic Forms

by Richard S. Elman, Nikita Karpenko, Alexander Merkurjev

2008 · American Mathematical Soc.

This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages of the development of the theory. Assuming only a basic course in algebraic geometry, Part II presents the necessary additional topics from algebraic geometry including the theory of Chow groups, Chow motives, and Steenrod operations. These topics are used in Part III to develop a modern geometric theory of quadratic forms.

The First Days of Jesus

by Andreas J. Köstenberger, Alexander Stewart

2015 · Crossway

A bright star. A lowly manger. Shepherds keeping watch over their flocks. Everyone knows at least something about the first Christmas. But there's more to the story than what can be contained on a greeting card. Investigating the social, cultural, and political background to the New Testament narratives, this prequel to The Final Days of Jesus: The Most Important Week of the Most Important Person Who Ever Lived explores the real meaning of Christ's birth in a fresh and compelling way. Perfect for those looking for something to read during Advent, this book combines scholarly insights with warm reflections in order to inform the mind and stir the soul.

Acts in its Ancient Literary Context

by Loveday Alexander

2007 · Bloomsbury Publishing

Here, gathered for the first time, is a collection of Loveday Alexander's critically acclaimed essays on the Acts of the Apostles. In this collection of essays, Alexander addresses the central question 'What kind of book is Acts?' She approaches the text of Acts with a finely-tuned sense of the complexities of the conventional codes that governed reading and writing in the classical world, and argues that the differences between New Testament texts and contemporary writings in the Graeco-Roman world can be as revealing as the similarities. The collection begins with Alexander's classic analysis of the literary codes governing the preface to Luke's two-volume work, in which she challenges the dominant consensus that the language and structure of the preface evoke the generic conventions of Greek historiography. That insight opens up the possibility of reading Acts alongside other ancient literary genres: the lives of the Greek philosophers, the Greek novels of Chariton and Xenophon of Ephesus, Roman itineraries, Greek and Jewish apologetic, and Latin epic. The process, like the narrative of Acts itself, becomes a rich and evocative voyage of exploration, shedding light both on the varied social worlds of the author and his first readers, and on the complex communication problems underlying the creation of early Christian discourse. This is volume 289 in the Journal for the Study of the New Testament Supplement series and is also part of the Early Christianity in Context series.