Mathematical foundations

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 Godel's famous incompleteness theorem.

In his rich and varied career as a mathematician, computer scientist, and educator, Jacob T.

Since the advent of the Semantic Web, interest in the dynamics of ontologies (ontology evolution) has grown significantly.

Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science.

This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field.

Cellular Automata (CA), about to enter their fifties, are coming of age, seen by the breadth and quality of CA-related research carried out worldwide, as well as by the appearance of interesting applications to real world problems.

This book contains all full papers presented at ACRI 2000, the Fourth International Conference on Cellular Automata for Research and Industry, held at the University of Karlsruhe (Germany), 4 - 6 October, 2000.

In mathematics we are interested in why a particular formula is true.

Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Godel's Theorem, and the Skolem Paradox.

Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of computer science students.

1.

The two-volume set LNAI 15497 and LNAI 15498 constitutes the refereed proceedings of the 14th International Conference on Brain Inspired Cognitive Systems, BICS 2024, held in Hefei, China, during December 6-8, 2024.

The two-volume set LNAI 15497 and LNAI 15498 constitutes the refereed proceedings of the 14th International Conference on Brain Inspired Cognitive Systems, BICS 2024, held in Hefei, China, during December 6-8, 2024.

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

L.

Logic and Complexity looks at basic logic as it is used in Computer Science, and provides students with a logical approach to Complexity theory.

Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics.

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

"e;Fascinating details and anecdotes accompany this engaging account of the emergence of dramatic new ideas and forms in music over the centuries.

This book explores the critical intersection of human behavior, cybersecurity, and the transformative potential of quantum technologies.

This unique textbook, in contrast to a standard logic text, provides the reader with a logic that can be used in practice to express and reason about mathematical ideas.

Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs.

The convergence of emerging technologies is reshaping industries at an unprecedented pace, and healthcare is no exception.

The convergence of emerging technologies is reshaping industries at an unprecedented pace, and healthcare is no exception.

Teaching and Learning Mathematics Online, Second Edition continues to present meaningful and practical solutions for teaching mathematics and statistics online.

Teaching and Learning Mathematics Online, Second Edition continues to present meaningful and practical solutions for teaching mathematics and statistics online.

Rudolf Carnap and Richard C.

Rudolf Carnap and Richard C.

Threshold Logic by Sze-Tsen Hu offers the first comprehensive treatment of logical elements based on the threshold principle, devices that had attracted growing attention in the wake of McCulloch and Pitts's 1943 neuron models and von Neumann's investigations into reliability.