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Cover: 9780691267982 | A Geometrical Introduction to Tensor Calculus | Jeroen Tromp | Buch
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A Geometrical Introduction to Tensor Calculus
Taschenbuch von Jeroen Tromp
Sprache: Englisch

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"An authoritative, self-contained introduction to geometrical tensor calculus for scientists and engineersTensors 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"--
"An authoritative, self-contained introduction to geometrical tensor calculus for scientists and engineersTensors 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"--
Über den Autor
Jeroen Tromp
Details
Erscheinungsjahr: 2025
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9780691267982
ISBN-10: 0691267987
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Tromp, Jeroen
Hersteller: Princeton University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 253 x 203 x 18 mm
Von/Mit: Jeroen Tromp
Erscheinungsdatum: 04.03.2025
Gewicht: 0,566 kg
Artikel-ID: 132549850
Über den Autor
Jeroen Tromp
Details
Erscheinungsjahr: 2025
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9780691267982
ISBN-10: 0691267987
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Tromp, Jeroen
Hersteller: Princeton University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 253 x 203 x 18 mm
Von/Mit: Jeroen Tromp
Erscheinungsdatum: 04.03.2025
Gewicht: 0,566 kg
Artikel-ID: 132549850
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