Mathematical foundations

An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups.

The book is devoted to various constructions of sets which are nonmeasurable with respect to invariant (more generally, quasi-invariant) measures.

Wearing Gauss's Jersey focuses on "e;Gauss problems,"e; problems that can be very tedious and time consuming when tackled in a traditional, straightforward way but if approached in a more insightful fashion, can yield the solution much more easily and elegantly.

This book is a collection of essays that offer original logical and philosophical investigations into the century-long endeavor to understand paradoxes.

This Undergraduate Textbook introduces key methods and examines the major areas of philosophy in which formal methods play pivotal roles.

Knowledge of automata theory and formal languages is crucial for understanding human-computer interaction, as well as for understanding the various processes that take place when manipulating knowledge if that knowledge is, indeed, expressed as sentences written in a suitably formalized language.

This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before.

This book is an outgrowth of a collection of sixty-two problems offered in the The American Mathematical Monthly (AMM) the author has worked over the last two decades.

Researchers and practitioners of cryptography and information security are constantly challenged to respond to new attacks and threats to information systems.

This volume, the 6th volume in the DRUMS Handbook series, is part of the after- math of the successful ESPRIT project DRUMS (Defeasible Reasoning and Un- certainty Management Systems) which took place in two stages from 1989-1996.

Model Validation and Uncertainty Quantification, Volume 3: Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics, 2023, the third volume of ten from the Conference brings together contributions to this important area of research and engineering.

This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces.

This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011.

Modal logics, originally conceived in philosophy, have recently found many applications in computer science, artificial intelligence, the foundations of mathematics, linguistics and other disciplines.

Berto's highly readable and lucid guide introduces students and the interested reader to G del's celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from G del's arguments.

The philosophy of mathematics is an exciting subject.

Computer systems that analyze images are critical to a wide variety of applications such as visual inspections systems for various manufacturing processes, remote sensing of the environment from space-borne imaging platforms, and automatic diagnosis from X-rays and other medical imaging sources.

The edited volume includes papers in the fields of fuzzy mathematical analysis and advances in computational mathematics.

This book synthesizes the author's work (1980s-2015) on the logical expressive power of natural language.

Ernst Zermelo (1871-1953) is regarded as the founder of axiomatic set theory and best-known for the first formulation of the axiom of choice.

conceptual, realist) theories of predication.

This is a book about computation, something which is ubiquitous in the modern world.

These proceedings contain research and survey papers from many subfields of recursion theory, with emphasis on degree theory, in particular the development of frameworks for current techniques in this field.

John Corcoran was a very well-known logician who worked on several areas of logic.

One can distinguish, roughly speaking, two different approaches to the philosophy of mathematics.

This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic systems in the setting of Muckenhoupt-weighted Morrey spaces and their pre-duals.

Introduces the universal-algebraic approach to classifying the computational complexity of constraint satisfaction problems.

Mathematical Logic and Formalized Theories: A Survey of Basic Concepts and Results focuses on basic concepts and results of mathematical logic and the study of formalized theories.

Originally published in 1937.

In the last century developments in mathematics, philosophy, physics, computer science, economics and linguistics have proven important for the development of logic.

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

Fourteen papers presented at the 1987 European Summer Meeting of the Association for Symbolic Logic are collected in this volume.

Lotzes Logik gilt als einer der folgenreichsten philosophischen Texte im Übergang vom 19.

In addition to covering the essentials, the author's intention in writing this text is to entice the reader to further study mathematical logic.

This volume showcases the best of recent research in the philosophy of science.

A collection of remarkable papers from various areas of mathematical logic, written by outstanding members of the field.

The goal of this monograph is to give an accessible introduction to nonstandard methods and their applications, with an emphasis on combinatorics and Ramsey theory.

Martin Gardner has entertained the world with his puzzles for decades and inspired countless mathematicians and scientists.

The Most Progressive and Complete Guide to DDO-Based CiphersDevelopers have long recognized that ciphers based on Permutation Networks (PNs) and Controlled Substitution-Permutation Networks (CSPNs) allow for the implementation of a variety of Data Driven Operations (DDOs).

The two volumes in this advanced textbook present results, proof methods, and translations of motivational and philosophical considerations to formal constructions.

This textbook presents the basics of philosophy that are necessary for the student and researcher in science in order to better understand scientific work.

Relation theory originates with Hausdorff (Mengenlehre 1914) and Sierpinski (Nombres transfinis, 1928) with the study of order types, specially among chains = total orders = linear orders.

Achim Mees untersucht Fragen zur Robustheit von Konfidenzbereichen und statistischen Tests, wobei der Fokus auf Konfidenzbereichen und Tests für den Erwartungswert unabhängiger identisch verteilter Beobachtungsgrößen liegt.

The aim of this book is to teach the reader the topics in algebra which are useful in the study of computer science.

Matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems.

This collection of essays aims to promote constructive mathematics, not by defining it or formalizing it, but by practicing it.

This monograph shows that, through a recourse to the concepts and methods of abstract algebraic logic, the algebraic theory of regular varieties and the concept of analyticity in formal logic can profitably interact.