The Resource Tensors for Physics, by Siegfried Hess, (electronic resource)

Tensors for Physics, by Siegfried Hess, (electronic resource)

Label
Tensors for Physics
Title
Tensors for Physics
Statement of responsibility
by Siegfried Hess
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This book presents the science of tensors in a didactic way. The various types and ranks of tensors and the physical basis is presented. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate level. Second rank tensors, in particular their symmetries, are discussed in detail. Differentiation and integration of fields, including generalizations of the Stokes law and the Gauss theorem, are treated. The physics relevant for the applications in mechanics, quantum mechanics, electrodynamics and hydrodynamics is presented. The second part of the book is devoted to tensors of any rank, at graduate level. Special topics are irreducible, i.e. symmetric traceless tensors, isotropic tensors, multipole potential tensors, spin tensors, integration and spin-trace formulas, coupling of irreducible tensors, rotation of tensors. Constitutive laws for optical, elastic and viscous properties of anisotropic media are dealt with. The anisotropic media include crystals, liquid crystals and isotropic fluids, rendered anisotropic by external orienting fields. The dynamics of tensors deals with phenomena of current research. In the last section, the 3D Maxwell equations are reformulated in their 4D version, in accord with special relativity
Member of
http://library.link/vocab/creatorName
Hess, Siegfried
Image bit depth
0
LC call number
QC5.53
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Undergraduate Lecture Notes in Physics,
http://library.link/vocab/subjectName
  • Physics
  • Chemistry, Physical organic
  • Mathematical physics
  • Engineering mathematics
  • Physics
  • Mathematical Methods in Physics
  • Mathematical Applications in the Physical Sciences
  • Soft and Granular Matter, Complex Fluids and Microfluidics
  • Physical Chemistry
  • Appl.Mathematics/Computational Methods of Engineering
Label
Tensors for Physics, by Siegfried Hess, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Basics -- Symmetry of Second Rank Tensors, Cross Product -- Epsilon-Tensor -- Symmetric Second Rank Tensors -- Summary: Decomposition of Second Rank Tensors -- Fields, Spatial Differential Operators -- Integration of Fields -- Irreducible Tensors -- Multiple Potentials -- Isotropic Tensors -- Integral Formulae -- Spin Operators -- Rotation of Tensors -- Liquid Crystals -- Constitutive Relations -- Tensor Dynamics -- Maxwell Equations, from 3D to 4D -- Exercises: Answers and Solutions
Dimensions
unknown
Extent
XVII, 440 p. 55 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319127873
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-12787-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-12787-3
Label
Tensors for Physics, by Siegfried Hess, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Basics -- Symmetry of Second Rank Tensors, Cross Product -- Epsilon-Tensor -- Symmetric Second Rank Tensors -- Summary: Decomposition of Second Rank Tensors -- Fields, Spatial Differential Operators -- Integration of Fields -- Irreducible Tensors -- Multiple Potentials -- Isotropic Tensors -- Integral Formulae -- Spin Operators -- Rotation of Tensors -- Liquid Crystals -- Constitutive Relations -- Tensor Dynamics -- Maxwell Equations, from 3D to 4D -- Exercises: Answers and Solutions
Dimensions
unknown
Extent
XVII, 440 p. 55 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319127873
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-12787-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-12787-3

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