Mathematical techniques in crystallography and materials science:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Ausgabe: | 3. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 224 S. graph. Darst. |
| ISBN: | 354021111X |
Internformat
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Datensatz im Suchindex
| _version_ | 1806142877896540160 |
|---|---|
| adam_text |
EDWARD PRINCE MATHEMATICAL TECHNIQUES IN AND MATERIALS SCIENCE 3 RD
EDITION WITH 29 FIGURES SPRINGER CONTENTS CHAPTER 1 MATRICES:
DEFINITIONS AND FUNDAMENTAL OPERATIONS 1 FUNDAMENTAL MATRIX OPERATIONS 3
LINEAR ALGEBRA 5 EIGENVALUES 9 LINEAR TRANSFORMATIONS 13 ROTATION OF
AXES 14 THE METRIC TENSOR 17 CHAPTER 2 SYMMETRY OF FINITE OBJECTS 20
GROUPS 20 REPRESENTATIONS 21 POINT GROUPS 22 BASIS FUNCTIONS 37 CHAPTER
3 SYMMETRY OF INFINITELY REPEATED PATTERNS 40 BRAVAIS LATTICES 40 SPACE
GROUPS 41 CHAPTER 4 VECTORS 49 SCALAR AND VECTOR PRODUCTS 50 THE
RECIPROCAL LATTICE 52 THE ORIENTATION MATRIX 54 ZONES AND FORMS 56
SUBLATTICES AND SUPERLATTICES 56 CHAPTER 5 TENSORS 58 COVARIANCE AND
CONTRAVARIANCE 59 THE MULTIVARIATE NORMAL DISRIBUTION 60 ANISOTROPIC
ATOMIC DISPLACEMENT FACTORS 62 THE EQUIVALENT ISOTROPIC TEMPERATURE
FACTOR 65 EFFECT OF SYMMETRY 65 TENSORS OF HIGHER RANKS 67 X CONTENTS
MOMENTS AND CUMULANTS 69 RIGID BODY MOTION 72 CHAPTER 6 DATA FITTING 77
FITTING FUNCTIONS 77 FINDING THE MINIMUM 82 FALSE MINIMA 92 CHAPTER 7
ESTIMATION OF UNCERTAINTY 95 ESTIMATES 96 THE PRECISION OF ESTIMATES OF
PRECISION 100 MODELS WITH MORE THAN ONE PARAMETER 102 ESTIMATES OF
PRECISION WHEN THE MODEL IS NOT LEAST SQUARES 103 CHAPTER 8 SIGNIFICANCE
AND ACCURACY 107 THE F DISTRIBUTION 107 STUDENT'S T DISTRIBUTION 111
CORRELATION 112 RELATIONSHIP BETWEEN PRECISION AND ACCURACY 115
UNCERTAINTIES OF DERIVED FUNCTIONS 120 THE PROJECTION MATRIX 120 CHAPTER
9 CONSTRAINED CRYSTAL STRUCTURE REFINEMENT 124 THE OBSERVED DATA 124 THE
MODEL 126 THE GENERAL FORM FOR A CONSTRAINED MODEL 128 SHAPE CONSTRAINTS
129 RIGID BODY THERMAL MOTION CONSTRAINTS 131 CHEMICAL CONSTRAINTS 133
REPRESENTING NON-GAUSSIAN DISTRIBUTIONS 134 CHAPTER 10 THE FAST FOURIER
TRANSFORM 140 THE DISCRETE FOURIER TRANSFORM 140 THE GOOD-THOMAS
ALGORITHM 142 THE COOLEY-TUKEY ALGORITHM 144 PRIME NUMBERS 145 FFTS FOR
REAL SEQUENCES 149 SPACE GROUP SYMMETRY 152 CONTENTS XI APPENDIX A
STEREOGRAPHIC PROJECTION 157 APPENDIX B EIGENVALUES AND EIGENVECTORS OF
3 X 3 SYMMETRIC MATRICES 161 APPENDIX C SUBLATTICES AND SUPERLATTICES
163 APPENDIX D THE PROBABILITY INTEGRAL, THE GAMMA FUNCTION, AND RELATED
TOPICS 165 APPENDIX E THE HARMONIC OSCILLATOR IN QUANTUM MECHANICS:
BLOCH'S THEOREM 173 APPENDIX F SYMMETRY RESTRICTIONS ON SECOND, THIRD,
AND FOURTH RANK TENSORS 181 APPENDIX G SOME USEFUL COMPUTER PROGRAMS 187
BIBLIOGRAPHY 217 INDEX 219 |
| any_adam_object | 1 |
| author | Prince, Edward |
| author_facet | Prince, Edward |
| author_role | aut |
| author_sort | Prince, Edward |
| author_variant | e p ep |
| building | Verbundindex |
| bvnumber | BV019316099 |
| callnumber-first | Q - Science |
| callnumber-label | QD911 |
| callnumber-raw | QD911 |
| callnumber-search | QD911 |
| callnumber-sort | QD 3911 |
| callnumber-subject | QD - Chemistry |
| classification_rvk | SK 950 UQ 1200 |
| ctrlnum | (OCoLC)249515375 (DE-599)BVBBV019316099 |
| dewey-full | 548/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 548 - Crystallography |
| dewey-raw | 548/.7 |
| dewey-search | 548/.7 |
| dewey-sort | 3548 17 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie Physik Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV019316099 |
| illustrated | Illustrated |
| indexdate | 2024-08-01T00:27:53Z |
| institution | BVB |
| isbn | 354021111X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012783641 |
| oclc_num | 249515375 |
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| owner_facet | DE-703 DE-573 DE-384 |
| physical | XI, 224 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| spelling | Prince, Edward Verfasser aut Mathematical techniques in crystallography and materials science Edward Prince 3. ed. Berlin [u.a.] Springer 2004 XI, 224 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Crystallography, Mathematical Symmetrische Gruppe (DE-588)4184204-2 gnd rswk-swf Werkstoffkunde (DE-588)4079184-1 gnd rswk-swf Kristallographie (DE-588)4033217-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Tensorrechnung (DE-588)4192487-3 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 s DE-604 Symmetrische Gruppe (DE-588)4184204-2 s Vektorrechnung (DE-588)4062471-7 s Tensorrechnung (DE-588)4192487-3 s Statistik (DE-588)4056995-0 s Kristallographie (DE-588)4033217-2 s Mathematische Methode (DE-588)4155620-3 s Werkstoffkunde (DE-588)4079184-1 s Mathematik (DE-588)4037944-9 s 1\p DE-604 2\p DE-604 Berechnung (DE-588)4120997-7 s 3\p DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012783641&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Prince, Edward Mathematical techniques in crystallography and materials science Crystallography, Mathematical Symmetrische Gruppe (DE-588)4184204-2 gnd Werkstoffkunde (DE-588)4079184-1 gnd Kristallographie (DE-588)4033217-2 gnd Mathematik (DE-588)4037944-9 gnd Vektorrechnung (DE-588)4062471-7 gnd Berechnung (DE-588)4120997-7 gnd Mathematische Methode (DE-588)4155620-3 gnd Tensorrechnung (DE-588)4192487-3 gnd Matrizenrechnung (DE-588)4126963-9 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4184204-2 (DE-588)4079184-1 (DE-588)4033217-2 (DE-588)4037944-9 (DE-588)4062471-7 (DE-588)4120997-7 (DE-588)4155620-3 (DE-588)4192487-3 (DE-588)4126963-9 (DE-588)4056995-0 |
| title | Mathematical techniques in crystallography and materials science |
| title_auth | Mathematical techniques in crystallography and materials science |
| title_exact_search | Mathematical techniques in crystallography and materials science |
| title_full | Mathematical techniques in crystallography and materials science Edward Prince |
| title_fullStr | Mathematical techniques in crystallography and materials science Edward Prince |
| title_full_unstemmed | Mathematical techniques in crystallography and materials science Edward Prince |
| title_short | Mathematical techniques in crystallography and materials science |
| title_sort | mathematical techniques in crystallography and materials science |
| topic | Crystallography, Mathematical Symmetrische Gruppe (DE-588)4184204-2 gnd Werkstoffkunde (DE-588)4079184-1 gnd Kristallographie (DE-588)4033217-2 gnd Mathematik (DE-588)4037944-9 gnd Vektorrechnung (DE-588)4062471-7 gnd Berechnung (DE-588)4120997-7 gnd Mathematische Methode (DE-588)4155620-3 gnd Tensorrechnung (DE-588)4192487-3 gnd Matrizenrechnung (DE-588)4126963-9 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Crystallography, Mathematical Symmetrische Gruppe Werkstoffkunde Kristallographie Mathematik Vektorrechnung Berechnung Mathematische Methode Tensorrechnung Matrizenrechnung Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012783641&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT princeedward mathematicaltechniquesincrystallographyandmaterialsscience |