Mathematics experiments: Shangzhi Li ...
Saved in:
| Format: | Book |
|---|---|
| Language: | English Chinese |
| Published: |
Singapore [u.a.]
World Scientific
2003
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Chines. übers. - Includes bibliographical references (p. 217) |
| Physical Description: | IX, 217 S. graph. Darst. |
| ISBN: | 9812380507 9812380493 |
Staff View
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Record in the Search Index
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| adam_text | MATHEMATICS EXPERIMENTS SHANGZHI LI FALAI CHEN YAOHUAWU YUNHUA ZHANG
UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA HEFEI, CHINA WORLD
SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * HONG KONG CONTENTS
FUNDAMENTAL OF CALCULUS 1 1.1 FUNCTIONS AND THEIR GRAPHS 1 1.2 THE
NUMBER E 5 1.3 INTEGRAL AND NATURAL LOGARITHM 9 1.4 HARMONIC SERIES 12
HOW TO CALCULATE N 15 2.1 METHOD OF NUMERICAL INTEGRAL 15 2.2 METHOD OF
USING TAYLOR SERIES 17 2.3 MONTE CARLO METHOD 19 BEST APPROXIMATIONS BY
FRACTIONS 23 3.1 BEST APPROXIMATION OF AN IRRATIONAL NUMBER BY FRACTIONS
24 3.2 FREQUENCY RATIO OF THE MUSICAL NOTES 25 3.3 EXPANDING REAL
NUMBERS INTO CONTINUED FRACTIONS ... 26 3.4 CALCULATING THE VALUE OF
LOGARITHM 30 3.5 INTEGER SOLUTIONS OF BINARY LINEAR EQUATIONS 33
SEQUENCES AND SERIES 39 4.1 THE FIBONACCI SEQUENCE 40 4.2 HARMONIC
SERIES 43 4.3 QUESTIONS 44 VIII MATHEMATICS EXPERIMENTS 5 PRIME NUMBERS
49 5.1 DISCRIMINATION AND CALCULATION OF PRIME NUMBERS . . . . 49 5.2
FORMULA OF PRODUCING PRIME NUMBERS 53 5.3 DISTRIBUTION OF PRIME NUMBERS
55 5.4 FURTHER PROBLEMS 57 6 THE PROBABILITY 61 6.1 THE CLASSICAL
DEFINITION OF PROBABILITY 61 6.2 THE STATISTICAL DEFINITION OF
PROBABILITY 64 6.3 BINOMIAL DISTRIBUTION AND POISSON DISTRIBUTION 67 6.4
NORMAL DISTRIBUTION 70 6.5 THE FIRST ARC SINE LAW 71 7 GEOMETRIC
TRANSFORMATIONS 73 7.1 LINEAR TRANSFORMATIONS AND AFFINE TRANSFORMATIONS
... 74 7.2 EIGENVECTORS OF LINEAR TRANSFORMATIONS 77 7.3 PROJECTIVE
TRANSFORMATIONS 81 7.4 NON-EUCLIDEAN GEOMETRY 83 7.5 A PROOF OF THE
FUNDAMENTAL THEOREM IN ALGEBRA 88 8 CELESTIAL MOVEMENT 95 8.1
ACCELERATION OF THE PLANETARY MOTION 96 8.2 CELESTIAL MOVEMENT UNDER THE
UNIVERSAL GRAVITATION ... 99 8.3 MATHEMATICAL SIMULATION OF OTHER
PHYSICAL PHENOMENA 104 9 ITERATION(I)*FINDING SOLUTIONS TO EQUATIONS 113
9.1 FINDING ROOTS OF EQUATIONS 113 9.2 ITERATIVE SOLUTIONS TO LINEAR
EQUATIONS SETS 116 9.3 ITERATIVE SOLUTIONS TO NONLINEAR EQUATIONS SETS
119 10 OPTIMIZATION 125 10.1 THE LAW OF LIGHT S REFRACTION 125 10.2
DASHING FOR THE OPTIMAL POINT 133 10.3 LEAST SQUARES METHOD 138 11
BRACHISTOCHRONE 143 11.1 CALCULATION OF TIME 143 11.2 LOOKING FOR THE
BRACHISTOCHRONE 146 CONTENTS IX 11.3 THE FIGURE OF THE BRACHISTOCHRONE
147 11.4 TAUTOCHRONE 151 12 ITERATION(II) * FRACTAL 159 12.1 CREATION
ELEMENT 160 12.2 ITERATION OF COMPLEX FUNCTION 164 12.3 IFS ITERATION
167 13 ITERATION(III) * CHAOS 179 13.1 THE PERIODIC POINT AND PERIODIC
ORBIT 179 13.2 ITERATION OF QUADRATIC FUNCTIONS 180 13.3 THE FEIGENBAUM
DIAGRAM 181 13.4 PROPERTIES OF CHAOS 182 13.4.1 SENSITIVITY TO THE
INITIAL VALUES 183 13.4.2 CHAOS IS NOT RANDOM 183 13.5 ITERATION OF
OTHER FUNCTIONS 184 13.6 LISTENING TO CHAOS 185 14 CRYPTOGRAPHY 189 14.1
MONOALPHABETIC CIPHER 189 14.2 POLYALPHABETIC CIPHER 191 14.3 MODERN
STREAM CIPHER 194 14.4 PUBLIC KEYS 198 15 MECHANICAL PROVING OF
ELEMENTARY GEOMETRICAL THEOREMS 203 15.1 CONVERTING GEOMETRICAL PROBLEMS
TO ALGEBRAIC ONES . . . 204 15.2 DERIVATION AND PROVING OF ALGEBRAIC
RELATIONAL EXPRESSIONS 208 BIBLIOGRAPHY 217
|
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| building | Verbundindex |
| bvnumber | BV019721131 |
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| callnumber-raw | QA20.C65M35 2003 |
| callnumber-search | QA20.C65M35 2003 |
| callnumber-sort | QA 220 C65 M35 42003 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 110 SN 300 |
| ctrlnum | (OCoLC)265036253 (DE-599)BVBBV019721131 |
| dewey-full | 510/.78 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.78 |
| dewey-search | 510/.78 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T20:04:36Z |
| institution | BVB |
| isbn | 9812380507 9812380493 |
| language | English Chinese |
| lccn | 2002044940 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013048254 |
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| physical | IX, 217 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Mathematics experiments Shangzhi Li ... Singapore [u.a.] World Scientific 2003 IX, 217 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Chines. übers. - Includes bibliographical references (p. 217) Mathematik Mathematics Computer-assisted instruction Mathematics Experiments Experiment (DE-588)4015999-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Informatik (DE-588)4026894-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Experiment (DE-588)4015999-1 s DE-604 Informatik (DE-588)4026894-9 s Li, Shangzhi Sonstige oth HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013048254&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mathematics experiments Shangzhi Li ... Mathematik Mathematics Computer-assisted instruction Mathematics Experiments Experiment (DE-588)4015999-1 gnd Mathematik (DE-588)4037944-9 gnd Informatik (DE-588)4026894-9 gnd |
| subject_GND | (DE-588)4015999-1 (DE-588)4037944-9 (DE-588)4026894-9 |
| title | Mathematics experiments Shangzhi Li ... |
| title_auth | Mathematics experiments Shangzhi Li ... |
| title_exact_search | Mathematics experiments Shangzhi Li ... |
| title_full | Mathematics experiments Shangzhi Li ... |
| title_fullStr | Mathematics experiments Shangzhi Li ... |
| title_full_unstemmed | Mathematics experiments Shangzhi Li ... |
| title_short | Mathematics experiments |
| title_sort | mathematics experiments shangzhi li |
| title_sub | Shangzhi Li ... |
| topic | Mathematik Mathematics Computer-assisted instruction Mathematics Experiments Experiment (DE-588)4015999-1 gnd Mathematik (DE-588)4037944-9 gnd Informatik (DE-588)4026894-9 gnd |
| topic_facet | Mathematik Mathematics Computer-assisted instruction Mathematics Experiments Experiment Informatik |
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