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Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. ...
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This volume, dedicated to Carl Pearcy on the occasion of his 60th birthday, presents recent results in operator theory, nonselfadjoint operator algebras, measure theory and the theory of moments. The articles on these subjects have been contributed by leading area experts, many of whom were associated with Carl Pearcy as students or collaborators.
This book is a revised edition of the Old Testament in Hebrew or the Hebrew Bible (TANAKH) and is intended for students, pastors and Bible scholars in developing nations who, for various reasons, do not have easy access to such resources. This Hebrew Old Testament edition is based on the Westminster Leningrad Codex, a scholarly respected text edition. Without intending to be a text-critical edition and without containing an explicit text-critical apparatus, it also contains hints on variant readings in other major editions of the text, such as the Biblia Hebraica Stuttgartensia (BHS) and Biblia Hebraica Quinta (BHQ).
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