This book provides a detailed description of a most important unsolved mathematical problem -- the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920's. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture.
This book provides a detailed description of a most important unsolved mathematical problem -- the Goldbach conjecture. Raised in 1742 in a letter fro...
The classical circle method of Hardy and Littlewood is one of the most effective methods of additive number theory. Two examples are its success with Waring's problem and Goldbach's conjecture. In this book, Wang offers instances of generalizations of important results on diophantine equations and inequalities over rational fields to algebraic number fields. The book also contains an account of Siegel's generalized circle method and its applications to Waring's problem and additive equations and an account of Schmidt's method on diophantine equations and inequalities in several variables in...
The classical circle method of Hardy and Littlewood is one of the most effective methods of additive number theory. Two examples are its success with ...
Diplomarbeit aus dem Jahr 2008 im Fachbereich BWL - Unternehmensfuhrung, Management, Organisation, Note: 1,7, Freie Universitat Berlin, 111 Quellen im Literaturverzeichnis, Sprache: Deutsch, Abstract: Dank des technologischen Fortschritts und der neoliberalen Politik ist die Welt immer offener aber gleichzeitig auch "kleiner" geworden. Sowohl die groen Unternehmen als auch die mittleren und kleinen Unternehmen werden von der Globalisierung direkt oder indirekt beeinflusst. In globalen Wertketten ist der Kontakt mit auslandischen Firmen und Managern unvermeidlich geworden und in Zukunft wird...
Diplomarbeit aus dem Jahr 2008 im Fachbereich BWL - Unternehmensfuhrung, Management, Organisation, Note: 1,7, Freie Universitat Berlin, 111 Quellen im...
The circle method has its genesis in a paper of Hardy and Ramanujan (see [Hardy 1])in 1918concernedwiththepartitionfunction andtheproblemofrep- resenting numbers as sums ofsquares. Later, in a series of papers beginning in 1920entitled "some problems of'partitio numerorum", Hardy and Littlewood (see [Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The most famous problems in ad- ditive number theory, namely Waring's problem and Goldbach's problem, are treated in their papers. The circle method is also called the...
The circle method has its genesis in a paper of Hardy and Ramanujan (see [Hardy 1])in 1918concernedwiththepartitionfunction andtheproblemofrep- resent...
The international symposium on number theory and analysis in memory of the late famous Chinese mathematician Professor Hua Loo Keng took place in August 1988 at the Tsinghua University in Beijing. Excellent survey lectures and expositions of the most recent results in number theory and analysis were given by experts from all over the world. While Volume I focuses on number theory, Volume II deals mainly with several complex variables, differential geometry and classical complex analysis. Both volumes also include two fascinating accounts of Professor Hua Loo Keng's life and work by Professor...
The international symposium on number theory and analysis in memory of the late famous Chinese mathematician Professor Hua Loo Keng took place in Augu...
The studies in this dissertation aim at advancing our scientific understandings about physical processes involved in the aerosol-cloud-precipitation interaction and quantitatively assessing the impacts of aerosols on the cloud systems with diverse scales over the globe on the basis of the observational data analysis and various modeling studies. As recognized in the Fifth Assessment Report by the Inter-government Panel on Climate Change, the magnitude of radiative forcing by atmospheric aerosols is highly uncertain, representing the largest uncertainty in projections of future climate by...
The studies in this dissertation aim at advancing our scientific understandings about physical processes involved in the aerosol-cloud-precipitatio...
The studies in this dissertation aim at advancing our scientific understandings about physical processes involved in the aerosol-cloud-precipitation interaction and quantitatively assessing the impacts of aerosols on the cloud systems with diverse scales over the globe on the basis of the observational data analysis and various modeling studies. As recognized in the Fifth Assessment Report by the Inter-government Panel on Climate Change, the magnitude of radiative forcing by atmospheric aerosols is highly uncertain, representing the largest uncertainty in projections of future climate by...
The studies in this dissertation aim at advancing our scientific understandings about physical processes involved in the aerosol-cloud-precipitatio...
