Mathematical Logic For Dummies Pdf

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Mathematical Logic - Computability, Set Theory, Model Theory, Proof Theory, etc.

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A Friendly Introduction to Mathematical Logic (Chris Leary)

In this user-friendly book, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems.
Introduction to Mathematical Logic (Vilnis Detlovs, et al)

This book explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. Discusses the major results of Gödel, Church, Kleene, Rosser, and Turing.
Introduction to Mathematical Philosophy (Bertrand Russell)

Requiring neither prior knowledge of mathematics nor aptitude for mathematical symbolism, the book serves as essential reading for anyone interested in the intersection of mathematics and logic and in the development of analytic philosophy.
Model-Theoretic Logics (Jon Barwise, et al)

This book brings together several directions of work in model theory between the late 1950s and early 1980s. It provides an introduction to the subject as a whole, as well as to the basic theory and examples. Many chapters can be read independently.
A Problem Course in Mathematical Logic (Stefan Bilaniuk)

It is intended to serve as the text for an introduction to mathematical logic for undergraduates with some mathematical sophistication. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints.
Proof, Sets, and Logic (M. Randall Holmes)

Addressing the importance of constructing and understanding mathematical proofs, this book introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics.
Model Theory (C. Ward Henson)

It is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory, introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory.
Model Theory, Algebra, and Geometry (Deirdre Haskell, et al)

Tis book gives the necessary background for understanding both the model theory and the mathematics behind the apps, begins with an introduction to model theory, broadens into three components: pure model theory, geometry, and the model theory of fields.
An Introduction to Set Theory (William A. R. Weiss)

This book covers the basics: relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers, gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.
Basic Model Theory (Kees Doets)

As the title indicates, this book introduces the reader to what is basic in model theory. A special feature is its use of the Ehrenfeucht game by which the reader is familiarised with the world of models.
Fundamentals of Model Theory (William Weiss, et al)

This book is a concluding discussion focuses on the relationship between proofs and formal derivations, and the role proofs may play as part of a general theory of evidence. It is a primer which will give someone a self contained overview of the subject.
Euclid and His Twentieth Century Rivals (Nathaniel Miller)

Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to the use of diagrams in proofs. It introduces a diagrammatic computer proof system, based on this formal system.
A Concise Introduction to Mathematical Logic (W. Rautenberg)

This is a well-written introduction to the beautiful and coherent subject of mathematical logic. It contains classical material such as logical calculi, beginnings of model theory, and Goedel's incompleteness theorems, as well as some topics motivated by applications.
Language, Proof and Logic (Jon Barwise, et al)

This book covers first-order language in a method appropriate for first and second courses in logic, and is specially useful to undergraduates of philosophy, computer science, mathematics, and linguistics.
Set Theoretic Approach to Algebraic Structures in Mathematics

This book brings out how sets in algebraic structures can be used to construct the most generalized algebraic structures, like set linear algebra / vector space, set ideals in groups and rings and semigroups, and topological set vector spaces.
Logic for Computer Science: Automatic Theorem Proving

This book introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. It is useful for the formalization of proofs and basics of automatic theorem proving.
Let Over Lambda - 50 Years of Lisp (Doug Hoyte)

This book is one of the most hardcore computer programming books out there. Starting with the fundamentals, it describes the most advanced features of the most advanced language: Common Lisp.
Higher Topos Theory (Jacob Lurie)

This book presents the foundations of Higher Topos Theory, using the language of weak Kan complexes, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
Logics of Time and Computation (Robert Goldblatt)

This is a short but excellent introduction to modal, temporal, and dynamic logic, etc. It manages to cover, in highly readable style, the basic completeness, decidability, and expressability results in a variety of logics of the three kinds considered.
Basic Concepts of Mathematics (Elias Zakon)

This book helps the student complete the transition from purely manipulative to rigorous mathematics, with topics that cover basic set theory, fields (with emphasis on the real numbers), a review of the geometry of three dimensions, and properties of linear spaces.
Logical Reasoning (Bradley H. Dowden)

The goal of this book is to improve your logical-reasoning skills. Your most important critical thinking skill is your skill at making judgments-not snap judgments that occur in the blink of an eye, but those that require careful reasoning.
Foundations of Fuzzy Logic and Semantic Web Languages

This book provides a rigorous and succinct account of the mathematical methods and tools used for representing and reasoning with fuzzy information within Semantic Web languages. The book focuses on the three main streams of Semantic Web languages.