Mathematical methods using mathematica: for students of physics and related fields
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2003
|
| Series: | Undergraduate texts in contemporary physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 235 S. Ill., graph. Darst. 1 CD-ROM (12 cm) |
| ISBN: | 0387955232 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | MATHEMATICAL METHODS USING MA THEM A TICA FOR STUDENTS OF PHYSICS AND
RELATED FIELDS SADRI HASSANI WITH 93 ILLUSTRATIONS AND A CD-ROM SPRINGER
CONTENTS PREFACE VII NOTE TO THE READER XI 1 MATHEMATICA IN A NUTSHELL 1
1.1 RUNNING MATHEMATICA 1 1.2 NUMERICAL CALCULATIONS 2 1.3 ALGEBRAIC AND
TRIGONOMETRIC CALCULATIONS 4 1.4 CALCULUS IN MATHEMATICA 8 1.5 NUMERICAL
MATHEMATICS . 13 1.6 GRAPHICS 18 1.6.1 SIMPLE PLOTS 18 1.6.2 PARAMETRIC
PLOTS 19 1.6.3 CONTOUR AND DENSITY PLOTS 22 1.6.4 THREE-DIMENSIONAL
PLOTS 23 1.7 COMPLEX NUMBERS 26 1.7.1 AN EXAMPLE FROM OPTICS 28 1.8
ANIMATION 36 1.9 INPUT AND OUTPUT CONTROL 41 1.10 PROBLEMS 43 2 VECTORS
AND MATRICES IN MATHEMATICA 49 2.1 ELECTRIC FIELDS 49 2.2 IONIC CRYSTALS
54 CONTENTS 2.2.1 ONE-DIMENSIONAL CRYSTAL 54 2.2.2 TWO-DIMENSIONAL
CRYSTAL 56 2.2.3 THREE-DIMENSIONAL CRYSTAL 58 2.3 TUBING CURVES 60 2.4
MATRICES 66 2.5 NORMAL MODES 70 2.5.1 A SYSTEM OF TWO MASSES 70 2.5.2 A
SYSTEM OF THREE MASSES 73 2.5.3 A SYSTEM OF FIVE MASSES . . . . 75 2.6
NORMAL MODES OF A SYSTEM OF N MASSES 78 2.7 PROBLEMS 82 INTEGRATION 85
3.1 INTEGRATION IN MATHEMATICA 86 3.1.1 THE SIMPLE EXAMPLE OF A PENDULUM
86 3.1.2 SHORTCOMINGS OF NUMERICAL INTEGRATION IN MATHEMATICA 87 3.1.3
OTHER INTRICACIES OF INTEGRATION IN MATHEMATICA ... 89 3.2 INTEGRATION
IN MECHANICS 91 3.2.1 POSITION-DEPENDENT FORCES 91 3.2.2 GRAVITATIONAL
FIELDS 95 3.3 INTEGRATION IN ELECTROSTATICS 106 3.3.1 POTENTIAL OF A
RING 108 3.3.2 POTENTIAL OF A SPIRAL 109 3.3.3 FLAT SURFACE CHARGE
DISTRIBUTIONS 109 3.4 INTEGRATION IN MAGNETISM 110 3.4.1 CIRCULAR LOOP
ILL 3.4.2 CURRENT WITH GENERAL SHAPE 112 3.4.3 SOLENOID 113 3.4.4
ROTATING CHARGED SPHERICAL SHELL 115 3.4.5 ROTATING CHARGED HOLLOW
CYLINDER 118 3.5 PROBLEMS 120 INFINITE SERIES AND FINITE SUMS 125 4.1
INFINITE SEQUENCES 125 4.2 NUMERICAL INTEGRATION 128 4.2.1 THE SIMPLEST
METHOD 129 4.2.2 TRAPEZOID RULE 130 4.2.3 SIMPSON S RULE 132 4.2.4
GAUSSIAN INTEGRATION 134 4.3 WORKING WITH SERIES IN MATHEMATICA 138 4.4
EQUATIONS INVOLVING SERIES 140 4.5 FOURIER SERIES 146 4.6 PROBLEMS 150
CONTENTS XV NUMERICAL SOLUTIONS OF ODES: THEORY 155 5.1 VARIOUS EULER
METHODS 156 5.1.1 EULER METHOD 156 5.1.2 MODIFIED EULER METHOD , 157
5.1.3 IMPROVED EULER METHOD . . . 157 5.1.4 EULER METHODS IN MATHEMATICA
.-* 158 5.1.5 ALTERNATIVE DERIVATION OF THE IMPROVED EULER METHOD 161
5.2 THE KUTTA METHOD 162 5.3 THE RUNGE-KUTTA METHOD 164 5.4 HIGHER-ORDER
EQUATIONS 168 5.5 EIGENVALUE PROBLEMS 170 5.5.1 DISCRETE DIFFERENTIATION
. . *. 171 5.5.2 DISCRETE EIGENVALUE PROBLEM 173 5.6 PROBLEMS 173
NUMERICAL SOLUTIONS OF ODES: EXAMPLES USING MATHEMAT- ICA 177 6.1 SOME
ANALYTIC SOLUTIONS 177 6.2 A ONE-DIMENSIONAL PROJECTILE 180 6.3 A
TWO-DIMENSIONAL PROJECTILE 185 6.4 THE TWO-BODY PROBLEM 191 6.4.1
PRECESSION OF THE PERIHELION OF MERCURY 196 6.5 THE THREE-BODY PROBLEM
198 6.5.1 MASSIVE STAR AND TWO PLANETS 198 6.5.2 LIGHT STAR AND TWO
PLANETS 200 6.6 NONLINEAR DIFFERENTIAL EQUATIONS 202 6.7
TIME-INDEPENDENT SCHRODINGER EQUATION 210 6.7.1 INFINITE POTENTIAL WELL
211 6.7.2 THE GENERAL CASE 216 6.7.3 FINITE POTENTIAL WELL 218 6.7.4
HARMONIC OSCILLATOR : 221 6.8 PROBLEMS 223 REFERENCES ? 227 INDEX 229
|
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| discipline | Physik Informatik Mathematik |
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| indexdate | 2024-07-09T19:17:32Z |
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| isbn | 0387955232 |
| language | English |
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| spelling | Hassani, Sadri Verfasser (DE-588)114976838X aut Mathematical methods using mathematica for students of physics and related fields Sadri Hassani New York [u.a.] Springer 2003 XV, 235 S. Ill., graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in contemporary physics Mathematica (Computer file) Datenverarbeitung Mathematische Physik Mathematisches Modell Mathematical physics Data processing Physics Mathematical models Mathematica Programm (DE-588)4268208-3 gnd rswk-swf CD-ROM (DE-588)4139307-7 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s Mathematica Programm (DE-588)4268208-3 s CD-ROM (DE-588)4139307-7 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010483910&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hassani, Sadri Mathematical methods using mathematica for students of physics and related fields Mathematica (Computer file) Datenverarbeitung Mathematische Physik Mathematisches Modell Mathematical physics Data processing Physics Mathematical models Mathematica Programm (DE-588)4268208-3 gnd CD-ROM (DE-588)4139307-7 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4268208-3 (DE-588)4139307-7 (DE-588)4037952-8 |
| title | Mathematical methods using mathematica for students of physics and related fields |
| title_auth | Mathematical methods using mathematica for students of physics and related fields |
| title_exact_search | Mathematical methods using mathematica for students of physics and related fields |
| title_full | Mathematical methods using mathematica for students of physics and related fields Sadri Hassani |
| title_fullStr | Mathematical methods using mathematica for students of physics and related fields Sadri Hassani |
| title_full_unstemmed | Mathematical methods using mathematica for students of physics and related fields Sadri Hassani |
| title_short | Mathematical methods using mathematica |
| title_sort | mathematical methods using mathematica for students of physics and related fields |
| title_sub | for students of physics and related fields |
| topic | Mathematica (Computer file) Datenverarbeitung Mathematische Physik Mathematisches Modell Mathematical physics Data processing Physics Mathematical models Mathematica Programm (DE-588)4268208-3 gnd CD-ROM (DE-588)4139307-7 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Mathematica (Computer file) Datenverarbeitung Mathematische Physik Mathematisches Modell Mathematical physics Data processing Physics Mathematical models Mathematica Programm CD-ROM |
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