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The Book of Psalms is perhaps the most cherished book in the Old Testament. In this lively volume, two experienced teachers invite students to read and explore the Psalter and roam widely among its poems. The book introduces the dynamics of the biblical text, helping students become careful and attentive readers. It covers how to read Hebrew poetry, the Psalter's basic genres, the idea of "the psalmist," the metaphorical world of the Psalms, and the theology of the Psalms. Sidebars, discussion questions, and plenty of examples enhance the reading experience. This clear and concise guide is accessible to all serious students of the Bible.
The techniques described here are the familiar ones of establishing contracts and contigencies and training in communication and problem-solving skills. As the reader will see, these techniques are eminently teachable. The fact that they are described here and that they are teachable suggests that clinical technology has stepped forward a long way from the arcane mysteries which characterized psychotherapy efforts in the late 1950s and early 1960s. The aspect of this work which sets it clearly in the forefront is the emphasis upon soft clinical skills as being a necessary .
This book provides a set of models for the exceptional lie algebras over algebraically closed fields of characteristic "0" and over the field of real numbers. It also provides an introduction to the problem of forms of exceptional simple lie algebras.
First published in 1986. Routledge is an imprint of Taylor & Francis, an informa company.
This volume presents a set of models for the exceptional Lie algebras over algebraically closed fieldsof characteristic O and over the field of real numbers. The models given are based on the algebras ofCayley numbers (octonions) and on exceptional Jordan algebras. They are also valid forcharacteristics p * 2. The book also provides an introduction to the problem of forms of exceptionalsimple Lie algebras, especially the exceptional D4 's, 6 's, and 7 's. These are studied by means ofconcrete realizations of the automorphism groups.Exceptional Lie Algebras is a useful tool for the mathematical public in general-especially thoseinterested in the classification of Lie algebras or groups-and for theoretical physicists.
The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups, rings, fields, homomorphisms, is presup posed. However, we have tried to make this account of linear algebra independent of a detailed knowledge of our first volume. References to specific results are given occasionally but some of the fundamental concepts needed have been treated again. In short, it is hoped that this volume can be read with complete understanding by any student who is mathematically sufficiently mature and who has a familiarity with the standard notions of modern algebra. Our point of view in the present volume is basically the abstract conceptual one. However, from time to time we have deviated somewhat from this. Occasionally formal calculational methods yield sharper results. Moreover, the results of linear algebra are not an end in themselves but are essential tools for use in other branches of mathematics and its applications. It is therefore useful to have at hand methods which are constructive and which can be applied in numerical problems. These methods sometimes necessitate a somewhat lengthier discussion but we have felt that their presentation is justified on the grounds indicated. A stu dent well versed in abstract algebra will undoubtedly observe short cuts. Some of these have been indicated in footnotes. We have included a large number of exercises in the text."
The present volume is the first of three that will be published under the general title Lectures in Abstract Algebra. These vol umes are based on lectures which the author has given during the past ten years at the University of North Carolina, at The Johns Hopkins University, and at Yale "University. The general plan of the work IS as follows: The present first volume gives an introduction to abstract algebra and gives an account of most of the important algebraIc concepts. In a treatment of this type it is impossible to give a comprehensive account of the topics which are introduced. Nevertheless we have tried to go beyond the foundations and elementary properties of the algebraic sys tems. This has necessitated a certain amount of selection and omission. We feel that even at the present stage a deeper under standing of a few topics is to be preferred to a superficial under standing of many. The second and third volumes of this work will be more special ized in nature and will attempt to give comprehensive accounts of the topics which they treat. Volume II will bear the title Linear Algebra and will deal with the theorv of vectQ _JlP. -a. ces. . . . . Volume III, The Theory of Fields and Galois Theory, will be con cerned with the algebraic structure offieras and with valuations of fields. All three volumes have been planned as texts for courses."
This collection contains all my published papers, both research and expository, that were published from 1934 to 1988. The research papers arranged in chronological order appear in Volume I and II and in the first part of Volume III. The expository papers, which are mainly reports presented at conferences, appear in chronological order in the last part of Volume III. Volume I covers the period 1910 to 1947, the year I moved to Yale, Volume II covers the period 1947 to 1965 when I became Chairman of the Department at Yale and Volume III covers the period from 1965 to 1989, which goes beyond my assumption of an emeritus status in 1981. I have divided the time interval covered in each volume into subintervals preceded by an account of my personal history during this period, and a commentary on the research papers published in the period. I have omitted commentaries on the expository papers and have sorted out the commentaries on the research papers according to the principal fields of my research. my recollections, checked against written The personal history has been based on documentation in my file of letters as well as diaries. One of these was a diary I kept of my trip to the USSR in 1961; the others were diaries Florie (Florence) kept during other major visits abroad. I have also consulted Professor A. W. Tucker on historical details on Princeton during the 1930's.
This collection contains all my published papers, both research and expository, that were published from 1934 to 1988. The research papers arranged in chronological order appear in Volume I and II and in the first part of Volume III. The expository papers, which are mainly reports presented at conferences, appear in chronological order in the last part of Volume III. Volume I covers the period 1910 to 1947, the year I moved to Yale, Volume II covers the period 1947 to 1965 when I became Chairman of the Department at Yale and Volume III covers the period from 1965 to 1989, which goes beyond my assumption of an emeritus status in 1981. I have divided the time interval covered in each volume into subintervals preceded by an account of my personal history during this period, and a commentary on the research papers published in the period. I have omitted commentaries on the expository papers and have sorted out the commentaries on the research papers according to the principal fields of my research. The personal history has been based on my recollections, checked against written documentation in my file of letters as well as diaries. One of these was a diary I kept of my trip to the USSR in 1961; the others were diaries Florie (Florence) kept during other major visits abroad. I have also consulted Professor A. W. Tucker on historical details on Princeton during the 1930's.
This volume contains the proceedings of a Symposium held in honor of Emmy Noether's lOOth birthday which was sponsored by the Association for Women in Mathematics, and held at Bryn Mawr College on March 17, 18 and 19, 1982. It was fitting that the Symposium be held at Bryn Mawr, where Noether held her last position. Indeed, the lectures were held in Goodhart Hall, where the famous Memorial Address was delivered by Hermann Weyl on April 29, 1935. The Association for Women in Mathematics is honored to have sponsored this event, which was judged by many of those attending to have been not only scien- tifically successful but a specially moving occasion. There were nine scientific lectures by Nathan Jacobson, Richard Swan, Judith Sally, David Mumford, Michele Vergne, Olga Taussky-Todd, Karen Uhlenbeck, Walter Feit, and Armand Borel. There was also a panel discussion on "Emmy Noether in Erlangen, Gottingen, and Bryn Mawr" in which Gottfried Noether, Olga Taussky-Todd, Grace Quinn, Ruth McKee, and Marguerite Lehr par- ticipated. The last four were at Bryn Mawr during Emmy Noether's time and presented their personal reminiscences of her. Gottfried Noether is a nephew of Emmy Noether and gave an account of her life and career in Germany.
The present volume completes the series of texts on algebra which the author began more than ten years ago. The account of field theory and Galois theory which we give here is based on the notions and results of general algebra which appear in our first volume and on the more elementary parts of the second volume, dealing with linear algebra. The level of the present work is roughly the same as that of Volume II. In preparing this book we have had a number of objectives in mind. First and foremost has been that of presenting the basic field theory which is essential for an understanding of modern algebraic number theory, ring theory, and algebraic geometry. The parts of the book concerned with this aspect of the subject are Chapters I, IV, and V dealing respectively with finite dimen sional field extensions and Galois theory, general structure theory of fields, and valuation theory. Also the results of Chapter IlIon abelian extensions, although of a somewhat specialized nature, are of interest in number theory. A second objective of our ac count has been to indicate the links between the present theory of fields and the classical problems which led to its development."
Best Practices and Strategies for Career and Technical Education and Training is a reference guide for novice instructors. It contains a basic overview of the mission, goals and evolution of career and technical education and training as well as a practical guide of effective instructional and team practices and strategies. The book is intended for new educators and trainers interested in classroom management and leadership techniques to achieve instructional effectiveness.
Although the Psalms of Asaph (Pss. 50, 73-83) contain a concentration of historical referents unparalleled in the Psalter, they have rarely attracted sustained historical interest. Karl N. Jacobson identifies these psalms as containing cultic historiography, historical narratives written for recitation in worship, and explores them through mnemohistory, attending to how the past is remembered and to the rhetorical function of recitation in the cultic setting. Jacobson describes mnemohistory at the intersection of memory and history, explores the singularity of the rhetorical and formals aspects of remembrance in the Asaph material, and discusses "residual mnemohistory," material that is not intentionally called to remembrance. Jacobson shows that Asaph "remembers" the past as a movement from henotheism to a more orthodox form of Yahwism as the core memory that informs a new historical situation for worship participants. By describing the "way Asaph remembers," Jacobson highlights symbolic and individualized elements of the psalms' mnemohistorical work that earlier form-critical approaches failed to recognize.
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