Availability: Popularizing mathematical methods in the People's Republic of China

Popularizing mathematical methods in the People's Republic of China: some personal experiences

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Bibliographic Details
Main Authors:	Hua, Luogeng 1910-1985 (Author), Wang, Yuan 1930- (Author)
Format:	Book
Language:	English
Published:	Boston u.a. Birkhäuser 1989
Series:	Mathematical modeling 2
Subjects:	Chine Génie industriel - Mathématiques Optimisation mathématique Recherche opérationnelle génie industriel géologie optimisation mathématique recherche opérationnelle Mathematik Industrial engineering > Mathematics Mathematical optimization Operations research Implementation Wirtschaft Operations Research China
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001223187&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XXII, 209 S.
ISBN:	3764333723 0817633723

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MARC


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Record in the Search Index

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adam_text	Contents Acknowledgements xi Preface xiii Preface by the editor xvii An Obituary of Loo Keng Hua, by H. Halberstam xix CHAPTER 0 INTRODUCTION § 0.1 Three principles 1 § 0.2 Looking for problems in the literature 3 § 0.3 Looking for problems in the workshop 5 §0.4 Optimum seeking methods (O.S.M) 8 §0.5 The Fibonacci search 10 § 0.6 The golden number and numerical integration 11 § 0.7 Overall planning methods 13 §0.8 On the use of statistics 18 § 0.9 Concluding remarks 23 CHAPTER 1 ON THE CALCULATION OF MINERAL RESERVES AND HILLSIDE AREAS ON CONTOUR MAPS § 1.1 Introduction 25 § 1.2 Calculation of mineral reserves 26 §1.3 Calculation of hillside areas 32 References 40 v vi CHAPTER 2 THE MESHING GEAR PAIR PROBLEM §2.1 Introduction 41 § 2.2 Simple continued fractions 42 §2.3 Farey series 47 § 2.4 An algorithm for the problem 49 § 2.5 The solution to the meshing gear pair problem 51 References 55 CHAPTER 3 OPTIMUM SEEKING METHODS (single variable) § 3.1 Introduction 57 § 3.2 Unimodal functions 59 § 3.3 Method of trials by shifting to and fro 60 § 3.4 The golden section method 61 §3.5 The proof of Theorem 3.1 63 § 3.6 The Fibonacci search 69 §3.7 The proof of Theorem 3.2 71 § 3.8 The bisection method 74 § 3.9 The parabola method 76 References 78 CHAPTER 4 OPTIMUM SEEKING METHODS (several variables) §4.1 Introduction 79 § 4.2 Unimodal functions (several variables) 79 § 4.3 The bisection method 81 § 4.4 The successive approximation method 85 §4.5 The parallel line method 87 §4.6 The discrete case with two factors 89 vii § 4.7 The equilateral triangle method 91 §4.8 The gradient method 94 §4.9 The paraboloid method 95 § 4.10 Convex bodies 99 §4.11 QieKuaiFa 104 §4.12 The 0 1 variable method 106 References 109 CHAPTER 5 THE GOLDEN NUMBER AND NUMERICAL INTEGRATION §5.1 Introduction Ill §5.2 Lemmas 113 § 5.3 Error estimation for the quadrature formula 117 § 5.4 A result for Q and a lower bound for the quadrature formula 120 §5.5 Remarks 122 References 124 CHAPTER 6 OVERALL PLANNING METHODS § 6.1 Introduction 125 §6.2 Critical Path Method 125 §6.3 Float 127 § 6.4 Parallel operations and overlapping operations 130 §6.5 Manpower scheduling 134 References 136 CHAPTER 7 PROGRAM EVALUATION AND REVIEW TECHNIQUE (PERT) § 7.1 Introduction 137 viii § 7.2 Estimation of the probability 138 § 7.3 Computation process 142 §7.4 An elementary approach 145 § 7.5 Remarks 147 References 149 CHAPTER 8 MACHINE SCHEDULING § 8.1 Introduction 151 §8.2 Two machine problem 151 § 8.3 A lemma. 154 § 8.4 Proof of Theorem 8.1 156 References 158 CHAPTER 9 THE TRANSPORTATION PROBLEM (GRAPHICAL METHOD) § 9.1 Introduction 159 § 9.2 One cycle 167 §9.3 Proof of Theorem 9.1 170 References 172 CHAPTER 10 THE TRANSPORTATION PROBLEM (SIMPLEX METHOD) § 10.1 Introduction 173 § 10.2 Eliminated unknowns and feasible solutions 179 § 10.3 Criterion numbers 182 § 10.4 A criterion for optimality 188 §10.5 Characteristic numbers 189 § 10.6 Substitution 193 § 10.7 Linear programming 197 References 198 ix CHAPTER 11 THE POSTMAN PROBLEM § 11.1 Introduction 201 § 11.2 Euler paths 204 § 11.3 A necessary and sufficient criterion for an optimum solution 205 References 208
any_adam_object	1
author	Hua, Luogeng 1910-1985 Wang, Yuan 1930-
author_GND	(DE-588)119001500 (DE-588)120999072
author_facet	Hua, Luogeng 1910-1985 Wang, Yuan 1930-
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ctrlnum	(OCoLC)18684809 (DE-599)BVBBV001843603
dewey-full	519
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	519 - Probabilities and applied mathematics
dewey-raw	519
dewey-search	519
dewey-sort	3519
dewey-tens	510 - Mathematics
discipline	Allgemeines Mathematik
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geographic_facet	China
id	DE-604.BV001843603
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indexdate	2024-12-20T07:42:32Z
institution	BVB
isbn	3764333723 0817633723
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-001223187
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physical	XXII, 209 S.
publishDate	1989
publishDateSearch	1989
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publisher	Birkhäuser
record_format	marc
series	Mathematical modeling
series2	Mathematical modeling
spellingShingle	Hua, Luogeng 1910-1985 Wang, Yuan 1930- Popularizing mathematical methods in the People's Republic of China some personal experiences Mathematical modeling Chine inriac Génie industriel - Mathématiques ram Optimisation mathématique ram Recherche opérationnelle ram génie industriel inriac géologie inriac optimisation mathématique inriac recherche opérationnelle inriac Mathematik Industrial engineering Mathematics Mathematical optimization Operations research Implementation (DE-588)4026661-8 gnd Wirtschaft (DE-588)4066399-1 gnd Operations Research (DE-588)4043586-6 gnd
subject_GND	(DE-588)4026661-8 (DE-588)4066399-1 (DE-588)4043586-6 (DE-588)4009937-4
title	Popularizing mathematical methods in the People's Republic of China some personal experiences
title_auth	Popularizing mathematical methods in the People's Republic of China some personal experiences
title_exact_search	Popularizing mathematical methods in the People's Republic of China some personal experiences
title_full	Popularizing mathematical methods in the People's Republic of China some personal experiences Hua Loo-Keng ; Wang Yuan
title_fullStr	Popularizing mathematical methods in the People's Republic of China some personal experiences Hua Loo-Keng ; Wang Yuan
title_full_unstemmed	Popularizing mathematical methods in the People's Republic of China some personal experiences Hua Loo-Keng ; Wang Yuan
title_short	Popularizing mathematical methods in the People's Republic of China
title_sort	popularizing mathematical methods in the people s republic of china some personal experiences
title_sub	some personal experiences
topic	Chine inriac Génie industriel - Mathématiques ram Optimisation mathématique ram Recherche opérationnelle ram génie industriel inriac géologie inriac optimisation mathématique inriac recherche opérationnelle inriac Mathematik Industrial engineering Mathematics Mathematical optimization Operations research Implementation (DE-588)4026661-8 gnd Wirtschaft (DE-588)4066399-1 gnd Operations Research (DE-588)4043586-6 gnd
topic_facet	Chine Génie industriel - Mathématiques Optimisation mathématique Recherche opérationnelle génie industriel géologie optimisation mathématique recherche opérationnelle Mathematik Industrial engineering Mathematics Mathematical optimization Operations research Implementation Wirtschaft Operations Research China
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001223187&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV021847616
work_keys_str_mv	AT hualuogeng popularizingmathematicalmethodsinthepeoplesrepublicofchinasomepersonalexperiences AT wangyuan popularizingmathematicalmethodsinthepeoplesrepublicofchinasomepersonalexperiences

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