Tensors for Physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer International Publishing
2015
|
| Schriftenreihe: | Undergraduate Lecture Notes in Physics
|
| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XVII, 440 p. 55 illus) |
| ISBN: | 9783319127873 |
| ISSN: | 2192-4791 |
| DOI: | 10.1007/978-3-319-12787-3 |
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Datensatz im Suchindex
| _version_ | 1804153309733322752 |
|---|---|
| adam_text | TENSORS FOR PHYSICS
/ HESS, SIEGFRIED
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
TENSORS FOR PHYSICS
/ HESS, SIEGFRIED
: 2015
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Hess, Siegfried 1940- |
| author_GND | (DE-588)143061747 |
| author_facet | Hess, Siegfried 1940- |
| author_role | aut |
| author_sort | Hess, Siegfried 1940- |
| author_variant | s h sh |
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| bvnumber | BV042544324 |
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| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-3-319-12787-3 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:24:34Z |
| institution | BVB |
| isbn | 9783319127873 |
| issn | 2192-4791 |
| language | English |
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| owner_facet | DE-91 DE-BY-TUM DE-703 |
| physical | 1 Online-Ressource (XVII, 440 p. 55 illus) |
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| publishDate | 2015 |
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| publisher | Springer International Publishing |
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| series2 | Undergraduate Lecture Notes in Physics |
| spelling | Hess, Siegfried 1940- Verfasser (DE-588)143061747 aut Tensors for Physics Siegfried Hess Cham [u.a.] Springer International Publishing 2015 1 Online-Ressource (XVII, 440 p. 55 illus) txt rdacontent c rdamedia cr rdacarrier Undergraduate Lecture Notes in Physics 2192-4791 Physics Chemistry, Physical organic Mathematical physics Engineering mathematics 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 Mathematische Physik Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Tensor (DE-588)4184723-4 gnd rswk-swf Tensorrechnung (DE-588)4192487-3 gnd rswk-swf Tensor (DE-588)4184723-4 s Mathematische Physik (DE-588)4037952-8 s DE-604 Tensorrechnung (DE-588)4192487-3 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-12786-6 https://doi.org/10.1007/978-3-319-12787-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027978330&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027978330&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hess, Siegfried 1940- Tensors for Physics Physics Chemistry, Physical organic Mathematical physics Engineering mathematics 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 Mathematische Physik Mathematische Physik (DE-588)4037952-8 gnd Tensor (DE-588)4184723-4 gnd Tensorrechnung (DE-588)4192487-3 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4184723-4 (DE-588)4192487-3 |
| title | Tensors for Physics |
| title_auth | Tensors for Physics |
| title_exact_search | Tensors for Physics |
| title_full | Tensors for Physics Siegfried Hess |
| title_fullStr | Tensors for Physics Siegfried Hess |
| title_full_unstemmed | Tensors for Physics Siegfried Hess |
| title_short | Tensors for Physics |
| title_sort | tensors for physics |
| topic | Physics Chemistry, Physical organic Mathematical physics Engineering mathematics 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 Mathematische Physik Mathematische Physik (DE-588)4037952-8 gnd Tensor (DE-588)4184723-4 gnd Tensorrechnung (DE-588)4192487-3 gnd |
| topic_facet | Physics Chemistry, Physical organic Mathematical physics Engineering mathematics 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 Mathematische Physik Tensor Tensorrechnung |
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