Mathematical logic Books

This book contains a systematic and formal attempt to model solutions to problems such as: Is it possible to prove a question? Is it possible to prove something by the use of questions? Do the existing paradigms in the logic of questions allow one to...

This book corresponds to a mathematical course given in 1986/87 at the University Louis Pasteur, Strasbourg. This work is primarily intended for graduate students. The following are necessary prerequisites : a few standard...

J. Richard Biichi is well known for his work in mathematical logic and theoretical computer science. (He himself would have sharply objected to the qualifier "theoretical," because he more or less identified science and theory,...

To most graph theorists there are two outstanding landmarks in the history of their subject. One is Euler's solution of the Konigsberg Bridges Problem, dated 1736, and the other is the appearance of Denes Konig's textbook in...

Since scientific software is the fuel that drives today's computers to solve a vast range of problems, huge efforts are being put into the development of new software, systems and algorithms for scientific problem solving. This...

The study of formal languages and of related families of automata has long been at the core of theoretical computer science. Until recently, the main reasons for this centrality were connected with the specification and analy­...

Real analytic sets in Euclidean space (Le. , sets defined locally at each point of Euclidean space by the vanishing of an analytic function) were first investigated in the 1950's by H. Cartan [Car], H. Whitney [WI-3], F. Bruhat...

Dirk van Dalen's biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer. Brouwer belonged to a special class of genius; complex and often controversial and gifted...

Dirk van Dalen's popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel's famous incompleteness theorem. Propositional and...

This clearly written and enlightening textbook provides a concise, introductory guide to the key mathematical concepts and techniques used by computer scientists. Topics and features: ideal for self-study, offering many pedagogical features such as...

First-Order Logic.- Model Constructions.- Properties of Model Classes.- Model Theory of Several Algebraic Theories

If you have ever wondered what quaternions are - then look no further, John Vince will show you how simple and useful they are. This 2nd edition has been completely revised and includes extra detail on the invention of quaternions, a complete review of...

This revised and expanded new edition elucidates the elegance and simplicity of the fundamental theory underlying formal languages and compilation. Retaining the reader-friendly style of the 1st edition, this versatile textbook describes the essential...

The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's...

"Proofs and Fundamentals: A First Course in Abstract Mathematics" 2nd edition is designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental ...

Graph Theory.- Combinatorics.- Infinite Combinatorics and Graphs.

This book is intended to be a thorough introduction to the subject of order and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study...

1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic:...

Propositional Logic.- First-Order Logic.- Complete logical Calculi.- Foundations of Logic Programming.- Elements of Model Theory.- Incompleteness and Undecidability.- On the Theory of Self-Reference.

An Elementary Logic, published in 1906, is a book written by John Edward Russell. The book is a comprehensive guide to the principles of logic, aimed at beginners and students of the subject. The author introduces the basic concepts of logic, including...

This book is for researchers in computer science, mathematical logic, and philosophical logic. It shows the state of the art in current investigations of process calculi with mainly two major paradigms at work: linear logic and...

The approach to probability theory followed in this book (which differs radically from the usual one, based on a measure-theoretic framework) characterizes probability as a linear operator rather than as a measure, and is based...

Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's...

This book is an example of fruitful interaction between (non-classical) propo­ sitionallogics and (classical) model theory which was made possible due to categorical logic. Its main aim consists in investigating the existence...

Il libro ""Introduzione alla Logica"" (1869) di Alessandro Paoli ����� un testo fondamentale per coloro che vogliono approfondire lo studio della logica. In questo libro, l'autore fornisce una panoramica completa sui principi fondamentali della logica,...

Das Buch ""Die Zenonischen Beweise"" von Eugen Raab, ver������ffentlicht im Jahr 1880, besch�����ftigt sich mit den Paradoxien des antiken griechischen Philosophen Zenon von Elea. Raab beschreibt die verschiedenen Beweise von Zenon, die darauf abzielen,...

Die Grundfragen der Logik ist ein Buch von Martin Katzenberger, das im Jahr 1858 ver������ffentlicht wurde. Es handelt sich um eine Abhandlung �����ber die Grundlagen der Logik und ihre Anwendung in verschiedenen Bereichen wie Mathematik, Philosophie und...

""The Primary Laws of Thought, Applied"" is a book written by John James Van Nostrand and published in 1891. The book discusses the fundamental laws of logic and reasoning, including the laws of identity, non-contradiction, and excluded middle. Van...

Extensional Constructs in Intensional Type Theory presents a novel approach to the treatment of equality in Martin-Loef type theory (a basis for important work in mechanised mathematics and program verification). Martin Hofmann...

High-Dimensional Data.- Characteristics of an Analysis Method.- Estimation of the Intrinsic Dimension.- Distance Preservation.- Topology Preservation.- Method comparisons.- Conclusions.

This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. The classic text is replete with illustrative...

This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number...

Fuzzy Logic Foundations and Industrial Applications is an organized edited collection of contributed chapters covering basic fuzzy logic theory, fuzzy linear programming, and applications. Special emphasis has been given to...

As understanding of the engineering design and configuration processes grows, the recognition that these processes intrinsically involve imprecise information is also growing. This book collects some of the most recent work in...

This book is intended for the formal argumentation community and for the sex offender therapist community.Both communities use logic.The message of this book is that the argumentation logic models are applicable for modelling and improving the practices...

The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are open access, and available via the College Publications website. This...

The IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are open access, and available via the College Publications website. This Journal is open access, and...

At the age of twenty, George Boole taught himself mathematics, then worked his way through the mathematics of his day, published papers in a wide range of mathematical fields, until, in this remarkably accessible seminal work, he laid down postulates and...

This volume features the latest scientific developments in the fields of computability theory and logical foundations of mathematics as well as applications. The scope involves the topics of Computability Theory, Reverse Mathematics, Nonstandard...

Getting started in logic at the earliest opportunity is the answer. While other books adopt a formal approach, using abstractions and arcane jargon, this book explains logical reasoning in simple and intuitive ways through its breezy writing style and...

This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes proof theory, constructive mathematics and type...

Es wird eine Systemtabelle erstellt mit der die Ursache der Primzahlen erkennbar, nachvollziehbar wird. Empfohlen für eki (emotionale künstliche Intelligenz)und alle anderen Zahleninteressierten.

From the creators of Lexy and Kaylee's Canine Coloring Book for Children series now have put together an activity book for Adults and Teens. Inside there are 52 advanced 16x16 Sudoku Puzzles in an easy to carry 6 x 9 format. Great for taking with you on...

In real management situations, uncertainty is inherently present in decision making. As such, it is increasingly imperative to research and develop new theories and methods of fuzzy sets. Theoretical and Practical Advancements for Fuzzy System...

Logica In Usum Auditorii Sui Ordine Scientifico est liber auctore Bohm, Andrea, qui anno 1769 editus est. Hic liber tractat de logica, quae est scientia de ratione et argumentatione. Andreas Bohm, auctor huius libri, docet logicae principia et regulas,...

""Logic Taught By Love"" is a book written by Mary Everest Boole and originally published in 1889. The book is a unique approach to teaching logic, as it uses love and emotion as a means of understanding the subject. Boole argues that logic is not just a...