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Auteur Jeroen Tromp (1966-....) |
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Titre : A geometrical introduction to tensor calculus Type de document : texte imprimé Auteurs : Jeroen Tromp (1966-....), Auteur Editeur : Princeton, N.J. : Princeton University Press Année de publication : 2025, cop. 2025 Importance : 1 vol. (xviii-230 p.) Présentation : ill., fig. Format : 26 cm ISBN/ISSN/EAN : 978-0-691-26798-2 Note générale : PPN 289621321 Langues : Anglais (eng) Tags : Calcul tensoriel Mécanique des fluides Géophysique Calculus of tensors Fluid mechanics Geophysics Index. décimale : 515.63 Analyse spinorielle, tensorielle, vectorielle (calcul tensoriel et vectoriel, différenciation vectorielle, intégration vectorielle) Résumé : An authoritative, self-contained introduction to geometrical tensor calculus for scientists and engineers. Tensors are widely used in physics and engineering to describe physical properties that have multiple dimensions and magnitudes. In recent years, they have become increasingly important for data analytics and machine learning, allowing for the representation and processing of data in neural networks and the modeling of complex relationships in multidimensional spaces. This incisive book provides a geometrical understanding of tensors and their calculus from the point of view of a physicist. With a wealth of examples presented in visually engaging boxes, it takes readers through all aspects of geometrical continuum mechanics and the field and dynamic equations of Einstein, Einstein-Cartan, and metric-affine theories of general relativity. A Geometrical Introduction to Tensor Calculus gives graduate students, advanced undergraduates, and researchers a powerful and mathematically elegant tool for comprehending the behavior and applications of tensors across an array of fields.Offers a physicist's perspective on geometrical tensor calculusIncludes dozens of examples that illustrate the geometrical use of tensors in continuum mechanics and general relativityCan serve as the basis for a course in tensor calculus for physicists and engineersInvaluable as a supplementary guide for anyone studying areas of physics that rely on tensor calculus, such as electrodynamics, geophysics, fluid and continuum mechanics, and general relativity. (4ème de couverture) Note de contenu : Bibliogr. p. 219-222. Author Index p.223-224. General Index p.225-230 A geometrical introduction to tensor calculus [texte imprimé] / Jeroen Tromp (1966-....), Auteur . - Princeton, N.J. : Princeton University Press, 2025, cop. 2025 . - 1 vol. (xviii-230 p.) : ill., fig. ; 26 cm.
ISBN : 978-0-691-26798-2
PPN 289621321
Langues : Anglais (eng)
Tags : Calcul tensoriel Mécanique des fluides Géophysique Calculus of tensors Fluid mechanics Geophysics Index. décimale : 515.63 Analyse spinorielle, tensorielle, vectorielle (calcul tensoriel et vectoriel, différenciation vectorielle, intégration vectorielle) Résumé : An authoritative, self-contained introduction to geometrical tensor calculus for scientists and engineers. Tensors are widely used in physics and engineering to describe physical properties that have multiple dimensions and magnitudes. In recent years, they have become increasingly important for data analytics and machine learning, allowing for the representation and processing of data in neural networks and the modeling of complex relationships in multidimensional spaces. This incisive book provides a geometrical understanding of tensors and their calculus from the point of view of a physicist. With a wealth of examples presented in visually engaging boxes, it takes readers through all aspects of geometrical continuum mechanics and the field and dynamic equations of Einstein, Einstein-Cartan, and metric-affine theories of general relativity. A Geometrical Introduction to Tensor Calculus gives graduate students, advanced undergraduates, and researchers a powerful and mathematically elegant tool for comprehending the behavior and applications of tensors across an array of fields.Offers a physicist's perspective on geometrical tensor calculusIncludes dozens of examples that illustrate the geometrical use of tensors in continuum mechanics and general relativityCan serve as the basis for a course in tensor calculus for physicists and engineersInvaluable as a supplementary guide for anyone studying areas of physics that rely on tensor calculus, such as electrodynamics, geophysics, fluid and continuum mechanics, and general relativity. (4ème de couverture) Note de contenu : Bibliogr. p. 219-222. Author Index p.223-224. General Index p.225-230 Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-SA-008930 TRO-05 Ouvrages / Books OCA Bib. Géoazur Sophia-Antipolis SA-Salle-A213-Ouvrages Disponible
Titre : Numerical modeling of seismic wave propagation : gridded two-way wave-equation methods Type de document : texte imprimé Auteurs : Johan O. A Robertsson, Auteur ; Joakim O. Blanch, Auteur ; Kurt Nihei, Auteur ; Jeroen Tromp (1966-....) Editeur : Tulsa, Okla : Society of Exploration Geophysicists Année de publication : 2012 Collection : Geophysics reprint series, ISSN 0734-5631 num. 28 Importance : xii, 102 p. Présentation : ill. (some color) Format : 26 cm Accompagnement : 1 CD-ROM (4 3/4 in.) ISBN/ISSN/EAN : 978-1-56080-290-7 Note générale : ISBN : 978-0-931830-00-6 (Series) .- PPN 237706989 Langues : Anglais (eng) Tags : Ondes élastiques -- Propagation -- Modèles mathématiques Ondes sismiques -- Modèles mathématiques Elastic wave propagation -- Mathematical models Seismic waves -- Mathematical models Wave equation -- Numerical solutions Index. décimale : 551.22 Tremblements de terre. Sismologie Note de contenu : Includes bibliographical references Numerical modeling of seismic wave propagation : gridded two-way wave-equation methods [texte imprimé] / Johan O. A Robertsson, Auteur ; Joakim O. Blanch, Auteur ; Kurt Nihei, Auteur ; Jeroen Tromp (1966-....) . - Tulsa, Okla : Society of Exploration Geophysicists, 2012 . - xii, 102 p. : ill. (some color) ; 26 cm + 1 CD-ROM (4 3/4 in.). - (Geophysics reprint series, ISSN 0734-5631; 28) .
ISBN : 978-1-56080-290-7
ISBN : 978-0-931830-00-6 (Series) .- PPN 237706989
Langues : Anglais (eng)
Tags : Ondes élastiques -- Propagation -- Modèles mathématiques Ondes sismiques -- Modèles mathématiques Elastic wave propagation -- Mathematical models Seismic waves -- Mathematical models Wave equation -- Numerical solutions Index. décimale : 551.22 Tremblements de terre. Sismologie Note de contenu : Includes bibliographical references Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-SA-003913 ROB-13 Ouvrages / Books OCA Bib. Géoazur Sophia-Antipolis SA-Salle-A213-Ouvrages Disponible
Titre : Theoretical and computational seismology Type de document : texte imprimé Auteurs : Jeroen Tromp (1966-....), Auteur Editeur : Princeton, N.J. : Princeton University Press Année de publication : 2025, cop. 2025 Importance : 1 volume (xxiv-575 pages) : illustrations, diagrammes, cartes ; 26 cm Présentation : illustrations, diagrammes, cartes Format : 26 cm ISBN/ISSN/EAN : 978-0-691-26796-8 Note générale : PPN 291649661 Langues : Anglais (eng) Tags : Sismologie -- Mathématiques -- Manuels d'enseignement supérieur Sismologie -- Informatique Milieux continus, Mécanique des Cinématique Problèmes inverses (équations différentielles) Dynamique Variétés différentiables Calcul tensoriel Seismology -- Mathematics -- Textbooks Seismology -- Data processing -- Textbooks Continuum mechanics Inverse problems (Differential equations) Kinematics Dynamics Differentiable manifolds Calculus of tensors Index. décimale : 551.22 Tremblements de terre. Sismologie Résumé : Over the past several decades, computational advances have revolutionized seismology, making it possible to simulate seismic wave propagation in complex Earth models and create detailed images of the planet’s interior. This cutting-edge text introduces students and scholars to the fundamentals, techniques, and applications of this exciting field of research and discovery.After establishing a strong foundation in continuum mechanics, the book presents the fundamentals of theoretical seismology, providing a basis for subsequent forward and inverse modeling grounded in numerical methods, and then focuses on computational seismology, investigating numerical solutions to seismic wave equations. The adjoint-state method is covered next, along with applications of this technique to waveform inversions across scales, after which the book concludes with a set of appendixes that provide a primer to differential geometry and tensor calculus, which are used throughout the book to explain the fundamental concepts of deformation, strain, and stress from both Eulerian and Lagrangian perspectives. Including over 150 student-tested exercises, the book is an essential resource for motivated students and scholars seeking to master the state of the art of theoretical and computational seismology (4e de couverture) Note de contenu : Seismology glossary p. 257-258 - Appendix glossary p. 529-530 - Bibliographie p. 531-550. - Index auteurs p.551-558. Index p.559-575.
Sommaire (abrégé) : I- Continuum mechanics - Kinematics - Dynamics - Defects -- II - Seismology - Linearized equations of motion - Anelasticity and attentuation -- III - Forward problems - Strong methods - Weak methods -- IV - Inverse problems - Adjoint-state method - Optimization -- Introduction to the Appendices - Linear spaces and transformations - Differentiable manifolds - Vectors and one-forms -Tensors - Maps between manifolds - Differentiation on manifolds - Differential forms -- Appendix Glossary -- Bibliography -- Author Index -- IndexTheoretical and computational seismology [texte imprimé] / Jeroen Tromp (1966-....), Auteur . - Princeton, N.J. : Princeton University Press, 2025, cop. 2025 . - 1 volume (xxiv-575 pages) : illustrations, diagrammes, cartes ; 26 cm : illustrations, diagrammes, cartes ; 26 cm.
ISBN : 978-0-691-26796-8
PPN 291649661
Langues : Anglais (eng)
Tags : Sismologie -- Mathématiques -- Manuels d'enseignement supérieur Sismologie -- Informatique Milieux continus, Mécanique des Cinématique Problèmes inverses (équations différentielles) Dynamique Variétés différentiables Calcul tensoriel Seismology -- Mathematics -- Textbooks Seismology -- Data processing -- Textbooks Continuum mechanics Inverse problems (Differential equations) Kinematics Dynamics Differentiable manifolds Calculus of tensors Index. décimale : 551.22 Tremblements de terre. Sismologie Résumé : Over the past several decades, computational advances have revolutionized seismology, making it possible to simulate seismic wave propagation in complex Earth models and create detailed images of the planet’s interior. This cutting-edge text introduces students and scholars to the fundamentals, techniques, and applications of this exciting field of research and discovery.After establishing a strong foundation in continuum mechanics, the book presents the fundamentals of theoretical seismology, providing a basis for subsequent forward and inverse modeling grounded in numerical methods, and then focuses on computational seismology, investigating numerical solutions to seismic wave equations. The adjoint-state method is covered next, along with applications of this technique to waveform inversions across scales, after which the book concludes with a set of appendixes that provide a primer to differential geometry and tensor calculus, which are used throughout the book to explain the fundamental concepts of deformation, strain, and stress from both Eulerian and Lagrangian perspectives. Including over 150 student-tested exercises, the book is an essential resource for motivated students and scholars seeking to master the state of the art of theoretical and computational seismology (4e de couverture) Note de contenu : Seismology glossary p. 257-258 - Appendix glossary p. 529-530 - Bibliographie p. 531-550. - Index auteurs p.551-558. Index p.559-575.
Sommaire (abrégé) : I- Continuum mechanics - Kinematics - Dynamics - Defects -- II - Seismology - Linearized equations of motion - Anelasticity and attentuation -- III - Forward problems - Strong methods - Weak methods -- IV - Inverse problems - Adjoint-state method - Optimization -- Introduction to the Appendices - Linear spaces and transformations - Differentiable manifolds - Vectors and one-forms -Tensors - Maps between manifolds - Differentiation on manifolds - Differential forms -- Appendix Glossary -- Bibliography -- Author Index -- IndexRéservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-SA-009593 TRO-06 Ouvrages / Books OCA Bib. Géoazur Sophia-Antipolis SA-Salle-A213-Ouvrages Disponible
Titre : Theoretical global seismology Type de document : texte imprimé Auteurs : F. A. Dahlen (19..-....), Auteur ; Jeroen Tromp (1966-....), Auteur Editeur : Princeton, N.J. : Princeton University Press Année de publication : 1998 Importance : 1 vol. (XVI-1025 p.) Présentation : ill., cartes Format : 24 cm ISBN/ISSN/EAN : 978-0-691-00124-1 Note générale : Contient : Partie 1. Foundations. - Partie 2. The spherical earth. - Partie 3. The Aspherical earth. - Appendixes. -- ISBN : 0-691-00124-3 (pbk. : alk. paper).-PPN 049096400
Langues : Anglais (eng) Tags : Sismologie Équations du mouvement Perturbation (Mathématiques) Rayleigh, Diffusion de Terre -- Manteau Ondes sismiques Milieux continus, Mécanique des Seismology Equation of motions Perturbation (Mathematics) Earth -- Mantle Continuum mechanics Index. décimale : 551.22 Tremblements de terre. Sismologie Note de contenu : Bibliogr. p. 967-997. Index p.999 Theoretical global seismology [texte imprimé] / F. A. Dahlen (19..-....), Auteur ; Jeroen Tromp (1966-....), Auteur . - Princeton, N.J. : Princeton University Press, 1998 . - 1 vol. (XVI-1025 p.) : ill., cartes ; 24 cm.
ISBN : 978-0-691-00124-1
Contient : Partie 1. Foundations. - Partie 2. The spherical earth. - Partie 3. The Aspherical earth. - Appendixes. -- ISBN : 0-691-00124-3 (pbk. : alk. paper).-PPN 049096400
Langues : Anglais (eng)
Tags : Sismologie Équations du mouvement Perturbation (Mathématiques) Rayleigh, Diffusion de Terre -- Manteau Ondes sismiques Milieux continus, Mécanique des Seismology Equation of motions Perturbation (Mathematics) Earth -- Mantle Continuum mechanics Index. décimale : 551.22 Tremblements de terre. Sismologie Note de contenu : Bibliogr. p. 967-997. Index p.999 Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-SA-003950 DAH-01 Ouvrages / Books OCA Bib. Géoazur Sophia-Antipolis SA-Salle-A213-Ouvrages Sorti jusqu'au 30/11/2025 OCA-SA-006047 DAH-02 Ouvrages / Books OCA Bib. Géoazur Sophia-Antipolis SA-Salle-A213-Ouvrages Disponible OCA-SA-008732 DAH-03 Ouvrages / Books OCA Bib. Géoazur Sophia-Antipolis SA-Salle-A213-Ouvrages Exclu du prêt Guust Nolet
