期刊全称 | Arithmetics | 影响因子2023 | Marc Hindry | 视频video | | 发行地址 | Explores the multi-faceted nature of number theory, spanning several areas of research in one text.Begins at undergraduate level and takes the reader through to graduate level.Includes recent proofs, | 学科分类 | Universitext | 图书封面 |  | 影响因子 | Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made a spectacular appearance in the field of theoretical computer science and in questions of communication, cryptography and error-correcting codes. Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research. The first part corresponds to an advanced undergraduate course. All of the statements given in this part are of course accompanied by their proofs, with perhaps the exception of some results appearing at the end of the chapters. A copious list of exercises, of varying difficulty, are also included here. The second part is of a higher level and is relevant for the first year of graduate school. It contains an introduction to elliptic curves and a chapter entitled “Developments and Open Problems”, which introduces and brings together various themes oriented toward ongoing mathematical research. Given the multifaceted nature of | Pindex | Textbook 2011 |
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