Henri Lombardi's Books

Commutative Algebra: Constructive Methods

Finite Projective Modules

By: Henri Lombardi,Claude Quitté

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Commutative Algebra: Constructive Methods

Finite Projective Modules

By: Henri Lombardi,Claude Quitté

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative. The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prüfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century. This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors and theoretical computer scientists.

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1033

Publisher

Springer

Published Date

ISBN 10

940179944X

ISBN 13

9789401799447

An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem

By: Henri Lombardi,Daniel Perrucci,Marie-Françoise Roy

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An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem

By: Henri Lombardi,Daniel Perrucci,Marie-Françoise Roy

The authors prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely they express a nonnegative polynomial as a sum of squares of rational functions and obtain as degree estimates for the numerators and denominators the following tower of five exponentials 222d4k where d is the number of variables of the input polynomial. The authors' method is based on the proof of an elementary recursive bound on the degrees for Stengle's Positivstellensatz. More precisely the authors give an algebraic certificate of the emptyness of the realization of a system of sign conditions and obtain as degree bounds for this certificate a tower of five exponentials, namely 22(2max{2,d}4k+s2kmax{2,d}16kbit(d)) where d is a bound on the degrees, s is the number of polynomials and k is the number of variables of the input polynomials.

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138

Publisher

American Mathematical Soc.

Published Date

ISBN 10

147044108X

ISBN 13

9781470441081

Politique et Société en Sicile, XIIe-XVe Siécles

By: Henri Bresc

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Politique et Société en Sicile, XIIe-XVe Siécles

By: Henri Bresc

In the 12th century, under its Norman rulers, Sicily stood as one of the most flourishing regions of the Mediterranean; by the late 15th century it had sunk into the state of semi-colonial depression and dependence that has chartacterized so much of its modern history. It is this transformation ” a process of socio-economic change that went hand in hand with political turmoil ” that forms the subject of this volume. Henri Bresc approaches this both from the viewpoint of particular topics, such as the notarial class or the tiny island of Pantelleria, and that of larger themes. One of these is the composition of Sicily's population. These articles trace the deteriorating status of the Arabs and Greeks on the island, the demographic circumstances that brought in new immigrants (notably Albanians, but also corsairs), and the emergence of a society now dominated by its Latin and Italian components. Other articles contrast the intensive suburban agriculture with the empty spaces of the large estates, and throw light on the development of a new landowning structure, based on these estates which were given over to cereals, grown for export in order to meet the financial demands of the long conflict with the Angevins. Au 12e siècle, sous le règne de rois normands, la Sicile était une des régions les plus prospères de la Méditerranée. A la fin du 15e siècle, elle avait sombré dans l'état de dépression et de dépendance semi-coloniale qui est devenu la marque d'une grande partie de son histoire moderne. Cette transformation ” un processus de changement socio-économique accompagne de bouleversements politiques ” forme le sujet de cet ouvrage. L'approche d'Henri Bresc se fait à deux niveaux: selon l'angle de sujets spécifiques, tels la classe notariale, ou encore la minuscule île de Pantelleria et à partir de thèmes plus vastes; parmi ces derniers, se trouve la composition de la population sicilienne. Ces articles retracent la détérioration du s

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Page Count

308

Publisher

Taylor & Francis

Published Date

ISBN 10

104023402X

ISBN 13

9781040234020

Corpus Mysticum

The Eucharist and the Church in the Middle Ages

By: Henri Cardinal de Lubac S.J.

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Corpus Mysticum

The Eucharist and the Church in the Middle Ages

By: Henri Cardinal de Lubac S.J.

One of the major figures of twentieth-century Catholic theology, Henri Cardinal de Lubac was known for his attention to the doctrine of the church and its life within the contemporary world. In Corpus Mysticum de Lubacinvestigates a particular understanding of the relation of the church to the eucharist. He sets out the nature of the church as communion, a doctrine that influenced the thinking of the Second Vatican Council. With the publication of Corpus Mysticum, this important text of contemporary Catholic ecclesiology and sacramental theology is available for the first time in an English translation. Its publication fills a significant gap in the range of de Lubac's works available to English-speaking scholars. It will be an important resource in the widespread and ongoing ecumenical discussions among Catholic, Protestant, and Orthodox theologians.

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Page Count

416

Publisher

University of Notre Dame Pess

Published Date

ISBN 10

0268161097

ISBN 13

9780268161095

Jean Gerson, Apostle of Unity

His Church Politics and Ecclesiology

By: Guillaume Henri Marie Posthumus Meyjes

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Jean Gerson, Apostle of Unity

His Church Politics and Ecclesiology

By: Guillaume Henri Marie Posthumus Meyjes

This study provides a new insight in the development and background of the church-political and ecclesiological ideas of the famous chancellor of the Paris University, Jean Gerson (1363-1429).

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480

Publisher

BRILL

Published Date

ISBN 10

9004112960

ISBN 13

9789004112964

Medieval Exegesis, Vol. 3

The Four Senses of Scripture

By: Henri de Lubac

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Medieval Exegesis, Vol. 3

The Four Senses of Scripture

By: Henri de Lubac

Originally published in French as Exgse mdivale,Henri de Lubac s monumental, multivolume study of medieval exegesis and theology has remained one of the most significant works of modern biblical studies. Examining the prominent commentators of the Middle Ages and their texts, de Lubac elucidates the medieval approach to biblical interpretation that sought the four senses of Scripture, especially the dominant practice of attempting to uncover Scripture s allegorical meaning.

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Page Count

491

Publisher

Wm. B. Eerdmans Publishing

Published Date

ISBN 10

0802841473

ISBN 13

9780802841476

The Importance of Binaries in the Formation and Evolution of Planetary Nebulae

By: Henri M. J. Boffin,David Jones

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The Importance of Binaries in the Formation and Evolution of Planetary Nebulae

By: Henri M. J. Boffin,David Jones

It is now clear that a binary evolutionary pathway is responsible for a significant fraction of all planetary nebulae, with some authors even going so far as to claim that binarity may be a near requirement for the formation of an observable nebula. This has led to the requirement that textbooks most likely need to be rewritten. Building upon the review of Jones and Boffin in Nature Astronomy (2017), this Springer Brief takes a first step in this direction. It offers the first expanded presentation of all the theoretical and observational support for the importance of binarity in the formation of planetary nebulae, initially focusing on common envelope evolution but also covering wider binaries. This book emphasises the wider impact of the field, highlighting the critical role binary central stars of planetary nebulae have in understanding a plethora of astrophysical phenomena, including type Ia supernovae, chemically peculiar stars and circumbinary exoplanets.

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Page Count

123

Publisher

Springer Nature

Published Date

ISBN 10

3030250598

ISBN 13

9783030250591

Western Europe

By: Henri J. Warmenhoven

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Western Europe

By: Henri J. Warmenhoven

FOR HISTORICAL REFERENCE ONLY - NOT CURRENT.

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Page Count

230

Published Date

ISBN 10

0717271315

ISBN 13

9780717271313

Commutative Algebra: Constructive Methods

Finite Projective Modules

By: Henri Lombardi,Claude Quitté

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Commutative Algebra: Constructive Methods

Finite Projective Modules

By: Henri Lombardi,Claude Quitté

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1033

Publisher

Springer

Published Date

ISBN 10

940179944X

ISBN 13

9789401799447

An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem

By: Henri Lombardi,Daniel Perrucci,Marie-Françoise Roy

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An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem

By: Henri Lombardi,Daniel Perrucci,Marie-Françoise Roy

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Solve jigsaw puzzle

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Page Count

138

Publisher

American Mathematical Soc.

Published Date

ISBN 10

147044108X

ISBN 13

9781470441081

Book's by Henri Lombardi

Commutative Algebra: Constructive Methods

Commutative Algebra: Constructive Methods

An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem

An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem

Politique et Société en Sicile, XIIe-XVe Siécles

Politique et Société en Sicile, XIIe-XVe Siécles

Corpus Mysticum

Corpus Mysticum

Jean Gerson, Apostle of Unity

Jean Gerson, Apostle of Unity

Medieval Exegesis, Vol. 3

Medieval Exegesis, Vol. 3

The Importance of Binaries in the Formation and Evolution of Planetary Nebulae

The Importance of Binaries in the Formation and Evolution of Planetary Nebulae

Western Europe

Western Europe

Commutative Algebra: Constructive Methods

Commutative Algebra: Constructive Methods

An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem

An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem

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