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Titlebook: Logical Number Theory I; An Introduction Craig Smoryński Textbook 1991 Springer-Verlag Berlin Heidelberg 1991 Diophantine equations.Diophan

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發(fā)表于 2025-3-21 16:38:29 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Logical Number Theory I
副標題An Introduction
編輯Craig Smoryński
視頻videohttp://file.papertrans.cn/589/588155/588155.mp4
叢書名稱Universitext
圖書封面Titlebook: Logical Number Theory I; An Introduction Craig Smoryński Textbook 1991 Springer-Verlag Berlin Heidelberg 1991 Diophantine equations.Diophan
描述Number theory as studied by the logician is the subject matter of the book. This first volume can stand on its own as a somewhat unorthodox introduction to mathematical logic for undergraduates, dealing with the usual introductory material: recursion theory, first-order logic, completeness, incompleteness, and undecidability. In addition, its second chapter contains the most complete logical discussion of Diophantine Decision Problems available anywhere, taking the reader right up to the frontiers of research (yet remaining accessible to the undergraduate). The first and third chapters also offer greater depth and breadth in logico-arithmetical matters than can be found in existing logic texts. Each chapter contains numerous exercises, historical and other comments aimed at developing the student‘s perspective on the subject, and a partially annotated bibliography.
出版日期Textbook 1991
關鍵詞Diophantine equations; Diophantische Gleichung; Incompleteness; Recursion Theory; Rekursionstheorie; Unde
版次1
doihttps://doi.org/10.1007/978-3-642-75462-3
isbn_softcover978-3-540-52236-2
isbn_ebook978-3-642-75462-3Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag Berlin Heidelberg 1991
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沙發(fā)
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Arithmetic Encoding,hy a book written for graduate students and advanced undergraduates should begin with something so simple as polynomials. Well, polynomials have had a long history and they form a recurring theme throughout all of mathematics.
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Textbook 1991fer greater depth and breadth in logico-arithmetical matters than can be found in existing logic texts. Each chapter contains numerous exercises, historical and other comments aimed at developing the student‘s perspective on the subject, and a partially annotated bibliography.
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Logical Number Theory I978-3-642-75462-3Series ISSN 0172-5939 Series E-ISSN 2191-6675
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Diophantine Encoding,ions. Once we’ve reached this goal, we will take a look at some applications and refinements. First, however, we must state clearly what the problem involves, i.e., what a Diophantine equation is. That, in part, is the purpose of the present section.
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Weak Formal Theories of Arithmetic,ons it engenders— has been a theme developed so far in this book. Another theme of logic is formalisation— the creation and study of formal language and logic. Such a theme is taken up in this chapter and ultimately wed to that of encoding and limitation.
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