Zur Startseite gehen
0,00 €*
Cover: 9789048161690 | Tensor Analysis and Nonlinear Tensor Functions | Yuriy I. Dimitrienko
Dekorationsartikel gehören nicht zum Leistungsumfang.
Tensor Analysis and Nonlinear Tensor Functions
Taschenbuch von Yuriy I. Dimitrienko
Sprache: Englisch

160,49 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
Tensor Analysis and Nonlinear Tensor Functions embraces the basic fields of tensor calculus: tensor algebra, tensor analysis, tensor description of curves and surfaces, tensor integral calculus, the basis of tensor calculus in Riemannian spaces and affinely connected spaces, - which are used in mechanics and electrodynamics of continua, crystallophysics, quantum chemistry etc.

The book suggests a new approach to definition of a tensor in space R3, which allows us to show a geometric representation of a tensor and operations on tensors. Based on this approach, the author gives a mathematically rigorous definition of a tensor as an individual object in arbitrary linear, Riemannian and other spaces for the first time.

It is the first book to present a systematized theory of tensor invariants, a theory of nonlinear anisotropic tensor functions and a theory of indifferent tensors describing the physical properties of continua.

The book will be useful for students and postgraduates of mathematical, mechanical engineering and physical departments of universities and also for investigators and academic scientists working in continuum mechanics, solid physics, general relativity, crystallophysics, quantum chemistry of solids and material science.
Tensor Analysis and Nonlinear Tensor Functions embraces the basic fields of tensor calculus: tensor algebra, tensor analysis, tensor description of curves and surfaces, tensor integral calculus, the basis of tensor calculus in Riemannian spaces and affinely connected spaces, - which are used in mechanics and electrodynamics of continua, crystallophysics, quantum chemistry etc.

The book suggests a new approach to definition of a tensor in space R3, which allows us to show a geometric representation of a tensor and operations on tensors. Based on this approach, the author gives a mathematically rigorous definition of a tensor as an individual object in arbitrary linear, Riemannian and other spaces for the first time.

It is the first book to present a systematized theory of tensor invariants, a theory of nonlinear anisotropic tensor functions and a theory of indifferent tensors describing the physical properties of continua.

The book will be useful for students and postgraduates of mathematical, mechanical engineering and physical departments of universities and also for investigators and academic scientists working in continuum mechanics, solid physics, general relativity, crystallophysics, quantum chemistry of solids and material science.
Inhaltsverzeichnis
Preface. Sources of Tensor Calculus. Introduction. 1. Tensor Algebra. 2. Tensors in Linear Spaces. 3. Groups of Transformations. 4. Indifferent Tensors and Invariants. 5. Tensor Functions. 6. Tensor Analysis. 7. Geometry of Curves and Surfaces. 8. Tensors in Riemannian Spaces and Affinely Connected Spaces. 9. Integration of Tensors. 10. Tensors in Continuum Mechanics. 11. Tensor Functions in Continuum Mechanics. References. Subject Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xviii
662 S.
ISBN-13: 9789048161690
ISBN-10: 904816169X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Dimitrienko, Yuriy I.
Hersteller: Springer Netherland
Springer Netherlands
Maße: 235 x 155 x 37 mm
Von/Mit: Yuriy I. Dimitrienko
Erscheinungsdatum: 01.12.2010
Gewicht: 1,019 kg
Artikel-ID: 107245353
Inhaltsverzeichnis
Preface. Sources of Tensor Calculus. Introduction. 1. Tensor Algebra. 2. Tensors in Linear Spaces. 3. Groups of Transformations. 4. Indifferent Tensors and Invariants. 5. Tensor Functions. 6. Tensor Analysis. 7. Geometry of Curves and Surfaces. 8. Tensors in Riemannian Spaces and Affinely Connected Spaces. 9. Integration of Tensors. 10. Tensors in Continuum Mechanics. 11. Tensor Functions in Continuum Mechanics. References. Subject Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xviii
662 S.
ISBN-13: 9789048161690
ISBN-10: 904816169X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Dimitrienko, Yuriy I.
Hersteller: Springer Netherland
Springer Netherlands
Maße: 235 x 155 x 37 mm
Von/Mit: Yuriy I. Dimitrienko
Erscheinungsdatum: 01.12.2010
Gewicht: 1,019 kg
Artikel-ID: 107245353
Warnhinweis

Ähnliche Produkte

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...