Holdings: Mathematical techniques in crystallography and materials science

Mathematical techniques in crystallography and materials science:

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Bibliographic Details
Main Author:	Prince, Edward (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2004
Edition:	3. ed.
Subjects:	Crystallography, Mathematical Symmetrische Gruppe Werkstoffkunde Kristallographie Mathematik Vektorrechnung Berechnung Mathematische Methode Tensorrechnung Matrizenrechnung Statistik
Online Access:	Inhaltsverzeichnis
Physical Description:	XI, 224 S. graph. Darst.
ISBN:	354021111X

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Record in the Search Index

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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
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dewey-tens	540 - Chemistry and allied sciences
discipline	Chemie / Pharmazie Physik Mathematik
edition	3. ed.
format	Book
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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

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