عنوان

Complex numbers :

1904275257

9781904275251

b588421

Complex numbers :

[Book]

lattice simulation and zeta function applications

Stephen C. Roy

Chichester Horwood Publishing

2007

XII, 131 p. il

Índices

DedicationAbout our AuthorAuthor's Preface BackgroundImportant featuresAcknowledgementsDEPENDENCE CHARTNotations1. Introduction 1.1 COMPLEX NUMBERS1.2 SCOPE OF THE TEXT1.3 G. F. B. RIEMANN AND THE ZETA FUNCTION1.4 STUDIES OF THE XI FUNCTION BY H. VON MANGOLDT1.5 RECENT WORK ON THE ZETA FUNCTION1.6 P. P. EWALD AND LATTICE SUMMATION2. Theory 2.1 COMPLEX NUMBER ARITHMETIC2.2 ARGAND DIAGRAMS2.3 EULER IDENTITIES2.4 POWERS AND LOGARITHMS2.5 THE HYPERBOLIC FUNCTION2.6 INTEGRATION PROCEDURES USED IN CHAPTERS 3 & 42.7 STANDARD INTEGRATION WITH COMPLEX NUMBERS2.8 LINE AND CONTOUR INTEGRATION3. The Riemann Zeta Function 3.1 INTRODUCTION3.2 THE FUNCTIONAL EQUATION3.3 CONTOUR INTEGRATION PROCEDURES LEADING TO N(T)3.4 A NEW STRATEGY FOR THE EVALUATION OF N(T) BASED ON VON MANGOLDT'S METHOD3.5 COMPUTATIONAL EXAMINATION OF (s)3.6 CONCLUSION AND FURTHER WORK4. Ewald Lattice Summation 4.1 COMPUTER SIMULATION OF IONIC SOLIDS4.2 CONVERGENCE OF LATTICE WAVES WITH ATOMIC POSITION4.3 VECTOR POTENTIAL CONVERGENCE WITH ATOMIC POSITION4.4 DISCUSSION AND FINAL ANALYSIS OF THE EWALD METHOD4.5 CONCLUSION AND FURTHER WORKAPPENDIX 1APPENDIX 2BibliographyGlossaryIndex

Funciones zeta

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Stephen C. Roy

Stephen C Roy

[Book]

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