Mathematical logic

Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline .

This book comprises five parts.

This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics.

One of the bedrocks of any mathematics education, the study of real analysis introduces students both to mathematical rigor and to the deep theorems and counterexamples that arise from such rigor: for instance, the construction of number systems, the Cantor Set, the Weierstrass nowhere differentiable function, and the Weierstrass approximation theorem.

This book is a companion to A general topology workbook published by Birkhiiuser last year.

This volume surveys the development of combinatorics since 1930 by presenting in chronological order the fundamental results of the subject proved in over five decades of original papers.

Indiscrete Thoughts gives a glimpse into a world that has seldom been described that of science and technology as seen through the eyes of a mathematician.

as anywhere today, it is becoming more d- ficult to tell the truth.

This volume offers insights into the development of mathematical logic over the last century.

By the development of new fields and applications, such as Automated Theorem Proving and Logic Programming, Logic has obtained a new and important role in Computer Science.

by Ivor Grattan-Guinness One of the distortions in most kinds of history is an imbalance between the study devoted to major figures and to lesser ones, concerning both achievements and influence: the Great Ones may be studied to death while the others are overly ignored and thereby remain underrated.

Why Olympiads?

The Italian mathematician Mario Pieri (1860-1913) played a major role in the development of algebraic geometry and foundations of mathematics around the turn of the twentieth century.

Graph theory continues to be one of the fastest growing areas of modern mathematics because of its wide applicability in such diverse disciplines as computer science, engineering, chemistry, management science, social science, and resource planning.

Number Theory or arithmetic, as some prefer to call it, is the oldest, purest, liveliest, most elementary yet sophisticated field of mathematics.

This book contains 104 of the best problems used in the training and testing of the U.

Number theory is fascinating.

Model theory is the meta-mathematical study of the concept of mathematical truth.

Model theory is the meta-mathematical study of the concept of mathematical truth.

REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced.

Sharpen your mind to beat the smartest brains in Britain with the original official GCHQ puzzle bookWould GCHQ recruit you?

This book develops a new approach to plural arbitrary reference and examines mereology, including considering four theses on the alleged innocence of mereology.

Mountaineers use pitons to protect themselves from falls.

Henkin-Keisler models emanate from a modification of the Henkin construction introduced by Keisler to motivate the definition of ultraproducts.

One of the attractions of fuzzy logic is its utility in solving many real engineering problems.

In recent years, an impetuous development of new, unconventional theories, methods, techniques and technologies in computer and information sciences, systems analysis, decision-making and control, expert systems, data modelling, engineering, etc.

Introduction to Modern Cryptography, the most relied-upon textbook in the field, provides a mathematically rigorous yet accessible treatment of this fascinating subject.

The aim of this book is to provide an exposition of both the theory and the applications of these categories at a level accessible to graduate students.

Here Professor Paterson brings together papers from the 1990 Durham symposium on Boolean function complexity.

The study of permutation groups has always been closely associated with that of highly symmetric structures.

In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results.

Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.

Second of two volumes providing a comprehensive guide to the current state of mathematical logic.

This book illustrates linear logic in the application of proof theory to computer science.

An abridged text of Principia Mathematica, suitable for an introductory study of logic.

These notes give a self-contained treatment of the theory of o-minimal structures.

Surveys recent interactions between model theory and other branches of mathematics, notably group theory.

This volume gives an overview of linear logic that will be useful to mathematicians and computer scientists working in this area.

Provides a picture of current ideas and methods in the ongoing investigations into the pure mathematical foundations of computability theory.

A selective, critical history of the relations between logic and philosophy over the last 150 years.

A survey of semimodularity that presents theory and applications in discrete mathematics, group theory and universal algebra.

An up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians.

This is a classic introduction to set theory, from the basics through to the modern tools of combinatorial set theory.

A selective, critical history of the relations between logic and philosophy over the last 150 years.

The 2007 proceedings from the Annual European Meeting of the Association for Symbolic Logic.

This book presents a unifying framework for using priority arguments to prove theorems in computability.

Papers examining aspects of Godel''s work gathered from a symposium celebrating Gödel''s centennial and papers from a 2004 ASL symposium.

A unique reference in the field of knowledge representation, now available in paperback.

A treatise on bounded arithmetic and propositional proof complexity by the leader in the field.