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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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