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Tensor Analysis
55,90 € *
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The present book has involved from the teaching of the course on Tensor Analysis by the post graduate and engineering students of Mathematics and Physics in various Universities of India. It deals with the Kronecker delta, Contravariant and Covariant tensors, Symmetric tensors, Quotient law of tensors, Relative tensor, Riemannian space, Metric tensor, Indicator, Permutation symbols and Permutation tensors. A detailed study of Christoffel symbols and their properties, Covariant differentiation of tensors, Ricci's theorem, Intrinsic derivative, Geodesics, Differential equation of geodesic, Geodesic coordinates, Field of parallel vectors, Reimann-Christoffel tensor and its properties, Covariant curvature tensor, Einstein space, Bianchi's identity, Einstein tensor, Flate space, Isotropic point and Schur's theorem with some other important theorems and examples from its concluding chapter.

Anbieter: Dodax
Stand: 19.01.2020
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Tensor Analysis
123,19 € *
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This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as a first introduction to tensors and tensor analysis. Each chapter includes a number of problems for readers to solve, and solutions are provided in an Appendix at the end of the text.Chapter 1 introduces the necessary mathematical foundations for the chapters that follow, while Chapter 2 presents the equations of motions for bodies of continuous material. Chapter 3 offers a general definition of tensors and tensor fields in three-dimensional Euclidean space. Chapter 4 discusses a new family of tensors related to the deformation of continuous material. Chapter 5 then addresses constitutive equations for elastic materials and viscous fluids, which are presented as tensor equations relating the tensor concept of stress to the tensors describing deformation, rate of deformation and rotation. Chapter 6 investigates general coordinate systems in three-dimensional Euclidean space and Chapter 7 shows how the tensor equations discussed in chapters 4 and 5 are presented in general coordinates. Chapter 8 describes surface geometry in three-dimensional Euclidean space, Chapter 9 includes the most common integral theorems in two- and three-dimensional Euclidean space applied in continuum mechanics and mathematical physics.

Anbieter: Dodax
Stand: 19.01.2020
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Tensor Analysis
57,50 € *
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The present book has involved from the teaching of the course on Tensor Analysis by the post graduate and engineering students of Mathematics and Physics in various Universities of India. It deals with the Kronecker delta, Contravariant and Covariant tensors, Symmetric tensors, Quotient law of tensors, Relative tensor, Riemannian space, Metric tensor, Indicator, Permutation symbols and Permutation tensors. A detailed study of Christoffel symbols and their properties, Covariant differentiation of tensors, Ricci's theorem, Intrinsic derivative, Geodesics, Differential equation of geodesic, Geodesic coordinates, Field of parallel vectors, Reimann-Christoffel tensor and its properties, Covariant curvature tensor, Einstein space, Bianchi's identity, Einstein tensor, Flate space, Isotropic point and Schur's theorem with some other important theorems and examples from its concluding chapter.

Anbieter: Dodax AT
Stand: 19.01.2020
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Itskov, Mikhail: Tensor Algebra and Tensor Anal...
77,79 € *
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Erscheinungsdatum: 26.12.2018, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Tensor Algebra and Tensor Analysis for Engineers, Titelzusatz: With Applications to Continuum Mechanics, Auflage: 5. Auflage von 2018 // Softcover reprint of the original 5th ed. 2019, Autor: Itskov, Mikhail, Verlag: Springer International Publishing, Sprache: Englisch, Rubrik: Maschinenbau // Fertigungstechnik, Seiten: 320, Informationen: Paperback, Gewicht: 487 gr, Verkäufer: averdo

Anbieter: averdo
Stand: 19.01.2020
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Itskov, Mikhail: Tensor Algebra and Tensor Anal...
79,09 € *
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Erscheinungsdatum: 26.12.2018, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Tensor Algebra and Tensor Analysis for Engineers, Titelzusatz: With Applications to Continuum Mechanics, Auflage: 5. Auflage von 2018 // Softcover reprint of the original 5th ed. 2019, Autor: Itskov, Mikhail, Verlag: Springer International Publishing, Sprache: Englisch, Rubrik: Maschinenbau // Fertigungstechnik, Seiten: 320, Informationen: Paperback, Gewicht: 487 gr, Verkäufer: averdo

Anbieter: averdo
Stand: 19.01.2020
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Itskov, Mikhail: Tensor Algebra and Tensor Anal...
79,09 € *
ggf. zzgl. Versand

Erscheinungsdatum: 26.12.2018, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Tensor Algebra and Tensor Analysis for Engineers, Titelzusatz: With Applications to Continuum Mechanics, Auflage: 5. Auflage von 2018 // Softcover reprint of the original 5th ed. 2019, Autor: Itskov, Mikhail, Verlag: Springer International Publishing, Sprache: Englisch, Rubrik: Maschinenbau // Fertigungstechnik, Seiten: 320, Informationen: Paperback, Gewicht: 487 gr, Verkäufer: averdo

Anbieter: averdo
Stand: 19.01.2020
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Statistical Analysis of Diffusion Tensor Imaging
68,00 € *
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This thesis tackles three major challenges in diffusion tensor imaging analysis with statistical methodologies. We firstly develop a novel Bayesian multi-tensor model with reparameterisation for capturing water diffusion at voxels with one or more distinct fibre orientations. A mixture Markov chain Monte Carlo (MCMC) algorithm is then developed to study the uncertainty of fibre orientations. Secondly, we apply non-Euclidean statistics to define the sample mean of diffusion tensor data which are employed for tensor field processing. In particular, Procrustes analysis, a powerful statistical shape analysis tool, is compared with the Log-Euclidean, Riemannian, Cholesky and power Euclidean approaches. A new anisotropy measure, Procrustes anisotropy, is defined. We finally use directional statistics to design uniformly distributed diffusion gradient direction schemes with different numbers of directions. All methods are illustrated through synthetic examples as well as white matter tractography of a healthy human brain.

Anbieter: Dodax
Stand: 19.01.2020
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Statistical Analysis of Diffusion Tensor Imaging
70,00 € *
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This thesis tackles three major challenges in diffusion tensor imaging analysis with statistical methodologies. We firstly develop a novel Bayesian multi-tensor model with reparameterisation for capturing water diffusion at voxels with one or more distinct fibre orientations. A mixture Markov chain Monte Carlo (MCMC) algorithm is then developed to study the uncertainty of fibre orientations. Secondly, we apply non-Euclidean statistics to define the sample mean of diffusion tensor data which are employed for tensor field processing. In particular, Procrustes analysis, a powerful statistical shape analysis tool, is compared with the Log-Euclidean, Riemannian, Cholesky and power Euclidean approaches. A new anisotropy measure, Procrustes anisotropy, is defined. We finally use directional statistics to design uniformly distributed diffusion gradient direction schemes with different numbers of directions. All methods are illustrated through synthetic examples as well as white matter tractography of a healthy human brain.

Anbieter: Dodax AT
Stand: 19.01.2020
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Singh, Yashwant: Tensor Analysis
55,90 € *
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Erscheinungsdatum: 29.06.2014, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Tensor Analysis, Titelzusatz: A Text Book On Tensor Analysis, Autor: Singh, Yashwant // Mandia, Harmendra Kumar, Verlag: LAP Lambert Academic Publishing, Sprache: Englisch, Rubrik: Mathematik // Sonstiges, Seiten: 140, Informationen: Paperback, Gewicht: 225 gr, Verkäufer: averdo

Anbieter: averdo
Stand: 19.01.2020
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