Bourguignon, J.P (JeanPierre) 1947
Overview
Works:  79 works in 311 publications in 3 languages and 3,567 library holdings 

Genres:  Conference papers and proceedings Exhibition catalogs Educational films Nonfiction films Short films History Criticism, interpretation, etc Biography Interviews 
Roles:  Author, Editor, Interviewee, Honoree, Curator, Thesis advisor, Commentator, Other, 956, Dedicatee, Restager , Collector 
Classifications:  QA641, 510 
Publication Timeline
.
Most widely held works by
J.P Bourguignon
A spinorial approach to Riemannian and conformal geometry by
J.P Bourguignon(
)
14 editions published between 2012 and 2015 in English and held by 610 WorldCat member libraries worldwide
The book gives an elementary and comprehensive introduction to Spin Geometry, with particular emphasis on the Dirac operator which plays a fundamental role in differential geometry and mathematical physics. After a selfcontained presentation of the basic algebraic, geometrical, analytical and topological ingredients, a systematic study of the spectral properties of the Dirac operator on compact spin manifolds is carried out. The classical estimates on eigenvalues and their limiting cases are discussed next, highlighting the subtle interplay of spinors and special geometric structures. Several applications of these ideas are presented, including spinorial proofs of the Positive Mass Theorem or the classification of positive KählerEinstein contact manifolds. Representation theory is used to explicitly compute the Dirac spectrum of compact symmetric spaces. The special features of the book include a unified treatment of Spin$^\mathrm c$ and conformal spin geometry (with special emphasis on the conformal covariance of the Dirac operator), an overview with proofs of the theory of elliptic differential operators on compact manifolds based on pseudodifferential calculus, a spinorial characterization of special geometries, and a selfcontained presentation of the representationtheoretical tools needed in order to apprehend spinors. This book will help advanced graduate students and researchers to get more familiar with this beautiful, though not sufficiently known, domain of mathematics with great relevance to both theoretical physics and geometry
14 editions published between 2012 and 2015 in English and held by 610 WorldCat member libraries worldwide
The book gives an elementary and comprehensive introduction to Spin Geometry, with particular emphasis on the Dirac operator which plays a fundamental role in differential geometry and mathematical physics. After a selfcontained presentation of the basic algebraic, geometrical, analytical and topological ingredients, a systematic study of the spectral properties of the Dirac operator on compact spin manifolds is carried out. The classical estimates on eigenvalues and their limiting cases are discussed next, highlighting the subtle interplay of spinors and special geometric structures. Several applications of these ideas are presented, including spinorial proofs of the Positive Mass Theorem or the classification of positive KählerEinstein contact manifolds. Representation theory is used to explicitly compute the Dirac spectrum of compact symmetric spaces. The special features of the book include a unified treatment of Spin$^\mathrm c$ and conformal spin geometry (with special emphasis on the conformal covariance of the Dirac operator), an overview with proofs of the theory of elliptic differential operators on compact manifolds based on pseudodifferential calculus, a spinorial characterization of special geometries, and a selfcontained presentation of the representationtheoretical tools needed in order to apprehend spinors. This book will help advanced graduate students and researchers to get more familiar with this beautiful, though not sufficiently known, domain of mathematics with great relevance to both theoretical physics and geometry
Mathematics of energy and climate change : International Conference and Advanced School Planet Earth, Portugal, March 2128,
2013 by
J.P Bourguignon(
)
9 editions published between 2015 and 2016 in English and held by 317 WorldCat member libraries worldwide
"This book presents the proceedings of the International Conference and Advanced School Planet Earth, Mathematics of Energy and Climate Change held in Lisbon, Portugal, in March 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013"Publisher information
9 editions published between 2015 and 2016 in English and held by 317 WorldCat member libraries worldwide
"This book presents the proceedings of the International Conference and Advanced School Planet Earth, Mathematics of Energy and Climate Change held in Lisbon, Portugal, in March 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013"Publisher information
Dynamics, games and science by
J.P Bourguignon(
)
11 editions published in 2015 in English and held by 286 WorldCat member libraries worldwide
The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing problems of an economic and social nature and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of issues and meet future global economic and social challenges. Earth is a planet with dynamic processes in its mantle, oceans and atmosphere creating climate, causing natural disasters, and influencing fundamental aspects of life and lifesupporting systems. In addition to these natural processes, human activity has developed highly complex systems, including economic and financial systems; the World Wide Web; frameworks for resource management, transportation, energy production and utilization; health care delivery, and social organizations. This development has increased to the point where it impacts the stability and equilibrium in human societies. Issues such as financial and economic crisis, sustainability, management of resources, risk analysis, and global integration have come to the fore. Written by some of the world's leading specialists, this book presents the proceedings of the International Conference and Advanced School Planet Earth, Dynamics, Games and Science II, held in Lisbon, Portugal, 28 August 6 September 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013. The book describes the state of the art in advanced research and ultimate techniques in modeling natural, economic and social phenomena. It constitutes a tool and a framework for researchers and graduate students, both in mathematics and applied sciences, focusing mainly on dynamical systems, game theory, and applied sciences
11 editions published in 2015 in English and held by 286 WorldCat member libraries worldwide
The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing problems of an economic and social nature and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of issues and meet future global economic and social challenges. Earth is a planet with dynamic processes in its mantle, oceans and atmosphere creating climate, causing natural disasters, and influencing fundamental aspects of life and lifesupporting systems. In addition to these natural processes, human activity has developed highly complex systems, including economic and financial systems; the World Wide Web; frameworks for resource management, transportation, energy production and utilization; health care delivery, and social organizations. This development has increased to the point where it impacts the stability and equilibrium in human societies. Issues such as financial and economic crisis, sustainability, management of resources, risk analysis, and global integration have come to the fore. Written by some of the world's leading specialists, this book presents the proceedings of the International Conference and Advanced School Planet Earth, Dynamics, Games and Science II, held in Lisbon, Portugal, 28 August 6 September 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013. The book describes the state of the art in advanced research and ultimate techniques in modeling natural, economic and social phenomena. It constitutes a tool and a framework for researchers and graduate students, both in mathematics and applied sciences, focusing mainly on dynamical systems, game theory, and applied sciences
Geometry and nature : in memory of W.K. Clifford : a Conference on New Trends in Geometrical and Topological Methods in memory
of William Kingdon Clifford, July 30August 5, 1995, Madeira, Portugal by
Conference on New Trends in Geometrical and Topological Methods(
Book
)
12 editions published between 1997 and 2012 in English and held by 269 WorldCat member libraries worldwide
12 editions published between 1997 and 2012 in English and held by 269 WorldCat member libraries worldwide
The many facets of geometry : a tribute to Nigel Hitchin by
O GarcíaPrada(
Book
)
21 editions published between 2009 and 2010 in English and held by 250 WorldCat member libraries worldwide
This title celebrates the academic career of Professor Nigel Hitchin  one of the most influential figures in the field of differential and algebraic geometry
21 editions published between 2009 and 2010 in English and held by 250 WorldCat member libraries worldwide
This title celebrates the academic career of Professor Nigel Hitchin  one of the most influential figures in the field of differential and algebraic geometry
Les Tenseurs by
Laurent Schwartz(
Book
)
18 editions published between 1975 and 2014 in French and English and held by 224 WorldCat member libraries worldwide
18 editions published between 1975 and 2014 in French and English and held by 224 WorldCat member libraries worldwide
Géométrie différentielle, physique mathématique, mathématiques et société : volume en l'honneur de Jean Pierre Bourguignon by
Oussama Hijazi(
Book
)
25 editions published between 2008 and 2009 in English and French and held by 203 WorldCat member libraries worldwide
25 editions published between 2008 and 2009 in English and French and held by 203 WorldCat member libraries worldwide
Mathematics : a beautiful elsewhere(
Recording
)
4 editions published in 2012 in English and held by 176 WorldCat member libraries worldwide
Based on an exhibition with the same name, explores the aesthetic aspects of mathematics through art, and features the exhibition's soundtrack on an accompanying CD
4 editions published in 2012 in English and held by 176 WorldCat member libraries worldwide
Based on an exhibition with the same name, explores the aesthetic aspects of mathematics through art, and features the exhibition's soundtrack on an accompanying CD
Calcul variationnel by
J.P Bourguignon(
Book
)
24 editions published between 1987 and 2012 in French and Undetermined and held by 157 WorldCat member libraries worldwide
"Ces notes de cours en onze chapitres se décomposent naturellement en trois parties qu'il est bon d'aborder avec des états d'esprit assez différents. La première intitulée "Le cadre analytique", regroupe les chapitres I, II et III. Elle se propose d'amplifier et de fortifier les connaissances antérieures des étudiants sur les fondements de l'analyse. La deuxième, intitulée "Le cadre géométrique", couvre les chapitres IV, V, VI et VII et introduit une démarche et des concepts plus nouveaux. Elle suppose la pratique de nombreux exercices (dont certains proposés dans ces notes de cours) pour se persuader que parler "en prose" tout en le sachant n'est finalement pas chose si difficile. La troisième enfin, intitulée "Le calcul des variations", englobe les chapitres VIII, IX, X et XI, (et est le véritable aboutissement du cours). Elle ouvre sur un champ très large d'applications, et c'est cette variété qui fait la force des théorèmes présentés."Page 4 de la couverture
24 editions published between 1987 and 2012 in French and Undetermined and held by 157 WorldCat member libraries worldwide
"Ces notes de cours en onze chapitres se décomposent naturellement en trois parties qu'il est bon d'aborder avec des états d'esprit assez différents. La première intitulée "Le cadre analytique", regroupe les chapitres I, II et III. Elle se propose d'amplifier et de fortifier les connaissances antérieures des étudiants sur les fondements de l'analyse. La deuxième, intitulée "Le cadre géométrique", couvre les chapitres IV, V, VI et VII et introduit une démarche et des concepts plus nouveaux. Elle suppose la pratique de nombreux exercices (dont certains proposés dans ces notes de cours) pour se persuader que parler "en prose" tout en le sachant n'est finalement pas chose si difficile. La troisième enfin, intitulée "Le calcul des variations", englobe les chapitres VIII, IX, X et XI, (et est le véritable aboutissement du cours). Elle ouvre sur un champ très large d'applications, et c'est cette variété qui fait la force des théorèmes présentés."Page 4 de la couverture
Geometric theory of singular phenomena in partial differential equations : Cortona 1995(
Book
)
8 editions published in 1998 in English and held by 135 WorldCat member libraries worldwide
The contributions in this text come from established mathematicians who cover recent advances in the geometric theory of singular phenomena of partial differential equations occurring in real and complex differential geometry
8 editions published in 1998 in English and held by 135 WorldCat member libraries worldwide
The contributions in this text come from established mathematicians who cover recent advances in the geometric theory of singular phenomena of partial differential equations occurring in real and complex differential geometry
Noncommutativity and singularities : proceedings of FrenchJapanese symposia held at IHÉS in 2006 by *FrenchJapanese *symposia(
Book
)
7 editions published in 2009 in English and held by 106 WorldCat member libraries worldwide
7 editions published in 2009 in English and held by 106 WorldCat member libraries worldwide
Dirac operators: Yesterday and Today : proceedings of the summer school and workshop, CAMSAUB, Lebanon, August 27 September
7, 2001(
Book
)
10 editions published between 2005 and 2010 in English and held by 82 WorldCat member libraries worldwide
"This volume represents the proceedings of a summer school and workshop on Dirac operators held at the American University of Beirut in 2001. An introduction to all necessary background material to begin research in Dirac operators is presented including elementary differential geometry, Clifford algebras, Lie groups, special geometries, leading to a presentation of the fundamental role of Dirac operators in the AtiyahSinger Index Theorem and particle physics. More advanced topics are presented in the proceedings of the workshop where, for example, topics on the spectrum of Dirac operators, pseudoRiemannian geometry, and first eigenvalue estimates are presented. This book is suitable for selfstudy by students and nonexperts as a panorama on Dirac operators, but also contains, for experts, an outstanding bibliography on the subject."Publisher's website
10 editions published between 2005 and 2010 in English and held by 82 WorldCat member libraries worldwide
"This volume represents the proceedings of a summer school and workshop on Dirac operators held at the American University of Beirut in 2001. An introduction to all necessary background material to begin research in Dirac operators is presented including elementary differential geometry, Clifford algebras, Lie groups, special geometries, leading to a presentation of the fundamental role of Dirac operators in the AtiyahSinger Index Theorem and particle physics. More advanced topics are presented in the proceedings of the workshop where, for example, topics on the spectrum of Dirac operators, pseudoRiemannian geometry, and first eigenvalue estimates are presented. This book is suitable for selfstudy by students and nonexperts as a panorama on Dirac operators, but also contains, for experts, an outstanding bibliography on the subject."Publisher's website
Comment j'ai détesté les maths by
Olivier Peyon(
Visual
)
1 edition published in 2014 in French and held by 77 WorldCat member libraries worldwide
"Les maths vous ont toujours barbé ? Vous avez toujours pensé qu'être nul en maths était une fatalité ? Bref vous les avez toujours détestées ! On aurait pu se contenter d'en rire si elles n'avaient pris une telle place dans notre société : Apple, Google, Goldman Sachs ne sont plus qu'algorithmes et formules mathématiques. Comment les maths en sontelles arrivées à souffrir d'une telle désaffection au moment même où elles dirigent le monde ? A travers un voyage aux quatre coins du monde avec les plus grands mathématiciens dont Cédric Villani (Médaille Fields 2010), Comment j'ai détesté les maths nous raconte comment les mathématiques ont bouleversé notre monde, pour le meilleur... et parfois pour le pire." [Source : jaquette]
1 edition published in 2014 in French and held by 77 WorldCat member libraries worldwide
"Les maths vous ont toujours barbé ? Vous avez toujours pensé qu'être nul en maths était une fatalité ? Bref vous les avez toujours détestées ! On aurait pu se contenter d'en rire si elles n'avaient pris une telle place dans notre société : Apple, Google, Goldman Sachs ne sont plus qu'algorithmes et formules mathématiques. Comment les maths en sontelles arrivées à souffrir d'une telle désaffection au moment même où elles dirigent le monde ? A travers un voyage aux quatre coins du monde avec les plus grands mathématiciens dont Cédric Villani (Médaille Fields 2010), Comment j'ai détesté les maths nous raconte comment les mathématiques ont bouleversé notre monde, pour le meilleur... et parfois pour le pire." [Source : jaquette]
Global analysis and harmonic analysis by Conference "Global Analysis and Harmonic Analysis"(
Book
)
6 editions published between 2000 and 2001 in English and held by 68 WorldCat member libraries worldwide
6 editions published between 2000 and 2001 in English and held by 68 WorldCat member libraries worldwide
The onset of puberty in perspective : proceedings of the 5th International Conference on the Control of the Onset of Puberty,
held in Liège, Belgium, 2628th September 1999 by International Conference on the Control of the Onset of Puberty(
Book
)
8 editions published in 2000 in English and held by 64 WorldCat member libraries worldwide
8 editions published in 2000 in English and held by 64 WorldCat member libraries worldwide
Variétés à courbure négative : Séminaire de géométrie riemannienne 19701971 by
L Berard Bergery(
Book
)
11 editions published between 1971 and 1980 in French and Undetermined and held by 56 WorldCat member libraries worldwide
11 editions published between 1971 and 1980 in French and Undetermined and held by 56 WorldCat member libraries worldwide
Mathématiques : un dépaysement soudain : [exposition présentée à la Fondation Cartier pour l'art contemporain à Paris,
du 21 octobre 2011 au 18 mars 2012](
Book
)
5 editions published in 2011 in French and held by 55 WorldCat member libraries worldwide
5 editions published in 2011 in French and held by 55 WorldCat member libraries worldwide
La science selon Henri Poincaré La science et l'hypothèse : La valeur et la science : Science et méthode by
Henri Poincaré(
Book
)
4 editions published in 2013 in French and held by 52 WorldCat member libraries worldwide
4 editions published in 2013 in French and held by 52 WorldCat member libraries worldwide
The new shepherd's lamp : a film by
J.P Bourguignon(
Visual
)
18 editions published between 1995 and 2001 in English and German and held by 50 WorldCat member libraries worldwide
The history of the changes in human perceptions of the nature of the universe with emphasis on the mathematical breakthroughs of J.L. Lagrange and the work of Henri Poincaré
18 editions published between 1995 and 2001 in English and German and held by 50 WorldCat member libraries worldwide
The history of the changes in human perceptions of the nature of the universe with emphasis on the mathematical breakthroughs of J.L. Lagrange and the work of Henri Poincaré
MathFilm Festival 2008 : a collection of mathematical videos(
Visual
)
2 editions published in 2008 in English and held by 45 WorldCat member libraries worldwide
Presents a juried collection of innovative short math videos, winners of the international competition of the MathFilm Festival 2008. The festival is part of the "Year of Mathematics" initiative of the Federal Ministry of Education and Research (Germany). The films target a broad audience of students, teachers, and those with an interest in mathematics. Topics range from historic to modern, from geometry to graphics, from computing to visualization, and abstract mathematical world to realworld applications
2 editions published in 2008 in English and held by 45 WorldCat member libraries worldwide
Presents a juried collection of innovative short math videos, winners of the international competition of the MathFilm Festival 2008. The festival is part of the "Year of Mathematics" initiative of the Federal Ministry of Education and Research (Germany). The films target a broad audience of students, teachers, and those with an interest in mathematics. Topics range from historic to modern, from geometry to graphics, from computing to visualization, and abstract mathematical world to realworld applications
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Related Identities
 Hijazi, Oussama Author Editor
 Moroianu, Andrei Author
 Milhorat, JeanLouis
 Moroianu, Sergiu
 Pinto, Alberto A. Contributor Editor
 Jeltsch, Rolf Contributor Editor
 Viana, Marcelo Contributor Editor
 Cassé, Michel 1943 Other Curator Editor
 Chandès, Hervé 1957 Other Curator Editor Author
 Nencka, Hanna 1956 Other Author Editor
Useful Links
Associated Subjects
Art, Modern Arts, Modern Astronomy Calculus of tensors Calculus of variations ChemistryMathematics Clifford, William Kingdon, Clifford algebras Computer scienceMathematics Conformal geometry Cosmography Cosmology Differential equations, Partial Dirac equation Dynamics Ecology Ergodic theory Festivals Fondation Cartier France Game theory Geography Geometry Geometry, Algebraic Geometry, Differential Geometry, Riemannian Global analysis (Mathematics) Harmonic analysis Idea (Philosophy) Lagrange, J. L.(Joseph Louis), Mathematical physics Mathematicians Mathematics MathematicsCompetitions Mathematics in art MathematicsPhilosophy MathematicsStudy and teaching MathematicsStudy and teachingAudiovisual aids MathematicsStudy and teachingPsychological aspects Noncommutative differential geometry Poincaré, Henri, Puberty SciencePhilosophy Singularities (Mathematics) Spin geometry Surfaces of constant curvature Technology Tensor products Topology Vector spaces
Covers
Alternative Names
Bourguignon 1947
Bourguignon, J.P.
Bourguignon, J. P. 1947
Bourguignon, JeanPierre
Bourguignon, JeanPierre 1947
JeanPierre Bourguignon Frans wiskundige
JeanPierre Bourguignon fransk matematikar
JeanPierre Bourguignon fransk matematiker
JeanPierre Bourguignon französischer Mathematiker
JeanPierre Bourguignon French mathematician
JeanPierre Bourguignon matemàtic francès
JeanPierre Bourguignon matemático francés
JeanPierre Bourguignon matematico francese
JeanPierre Bourguignon matemáticu francés
JeanPierre Bourguignon mathématicien français
جان بيار بورغينيون رياضياتي فرنسي
ジャン・ピエール・ブルギニョン
讓皮埃爾·布吉尼翁
Languages