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Titlebook: A Course on Mathematical Logic; S. M. Srivastava Textbook 20081st edition Springer-Verlag New York 2008 computability theory.mathematical

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发表于 2025-3-21 18:18:29 | 显示全部楼层 |阅读模式
期刊全称A Course on Mathematical Logic
影响因子2023S. M. Srivastava
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发行地址Written in a clear, concise style.Contains numerous exercises and examples.Employs Godels completeness and incompleteness theorems to motivate the entire text.Modern language and notation will appeal
学科分类Universitext
图书封面Titlebook: A Course on Mathematical Logic;  S. M. Srivastava Textbook 20081st edition Springer-Verlag New York 2008 computability theory.mathematical
影响因子.This is a short, distinctive, modern, and motivated introduction to mathematical logic for senior undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in knowing what logic is concerned with and who would like to learn Gödel’s incompleteness theorems should find this book particularly convenient. The treatment is thoroughly mathematical, and the entire subject has been approached like a branch of mathematics. Serious efforts have been made to make the book suitable for the classroom as well as for self-reading. The book does not strive to be a comprehensive encyclopedia of logic. Still, it gives essentially all the basic concepts and results in mathematical logic. The book prepares students to branch out in several areas of mathematics related to foundations and computability such as logic, axiomatic set theory, model theory, recursion theory, and computability. The main prerequisite for this book is the willingness to work at a reasonable level of mathematical rigor and generality...Shashi Mohan Srivastava is a Professor at the Indian Statistical Institute, Kolkata, India. He is also the author of A Course on Borel
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Textbook 20081st editionthematics and computer science. Any mathematician who is interested in knowing what logic is concerned with and who would like to learn Gödel’s incompleteness theorems should find this book particularly convenient. The treatment is thoroughly mathematical, and the entire subject has been approached
发表于 2025-3-22 08:13:32 | 显示全部楼层
A Course on Mathematical Logic978-0-387-76277-7Series ISSN 0172-5939 Series E-ISSN 2191-6675
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https://doi.org/10.1057/9781137446770ch as groups, rings, fields, algebraically closed fields, etc., with the aim to develop tools to examine their consistency, completeness, and other similar questions concerning the foundation of these theories. In this chapter we take the first step toward logic and precisely define the notion of a firstorder theory.
发表于 2025-3-22 14:15:51 | 显示全部楼层
Thibauld Moulaert,Suzanne GaronIn the previous chapter, we introduced the notion of proof in propositional logic. In this chapter we shall define proof in a first-order theory and prove several metatheorems in first-order logic.
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Vera Roos,Puleng Segalo,Ngenisiwe NtombelaIn this chapter we shall study recursive functions.We shall also introduce techniques to show how a general decision problem can be converted into showing whether a partcular function is recursive.
发表于 2025-3-23 02:27:04 | 显示全部楼层
Vera Roos,Anél du Plessis,Jaco HoffmanThis chapter gives the most important landmarks of mathematical logic— the incompleteness theorems of Gödel.We still have to do some work, which we do in the first section. As a side output, in Section 3, we initiate the study of recursion theory.
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