Mathematical foundations

The birth of Islam over fourteen centuries ago was a monumental event in human history with an everlasting effect on humanity.

There has been a common perception that computational complexity is a theory of "e;bad news"e; because its most typical results assert that various real-world and innocent-looking tasks are infeasible.

Statistical data are not always precise numbers, or vectors, or categories.

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

Cybersecurity Analytics is for the cybersecurity student and professional who wants to learn data science techniques critical for tackling cybersecurity challenges, and for the data science student and professional who wants to learn about cybersecurity adaptations.

The logician Kurt Godel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is not equivalent to a Turing machine (i.

With exercises and projects, Exploring Mathematics supports an active approach to the transition to upper-level theoretical math courses.

Designed for engineering graduate students, this book connects basic mathematics to a variety of methods used in engineering problems.

Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing.

Intuitionistic type theory can be described, somewhat boldly, as a partial fulfillment of the dream of a universal language for science.

Originally published in 1966.

This book is about "e;delta"e;, a paradox logic.

Residue number systems (RNSs) and arithmetic are useful for several reasons.

Kelley Wingate's Math Practice for first grade is designed to help students master basic math skills through focused math practice.

Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "e;impossible"e; as the author follows the discovery or invention of new concepts that have marked mathematical progress.

This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics.

Start with a single shape.

Proof techniques in cryptography are very difficult to understand, even for students or researchers who major in cryptography.

The completion of the first draft of the human genome has led to an explosion of interest in genetics and molecular biology.

Study smarter and stay on top of your probability course with the bestselling Schaum's Outline-now with the NEW Schaum's app and website!

Discrete Mathematics and Applications, Second Edition is intended for a one-semester course in discrete mathematics.

This textbook addresses the mathematical description of sets, categories, topologies and measures, as part of the basis for advanced areas in theoretical computer science like semantics, programming languages, probabilistic process algebras, modal and dynamic logics and Markov transition systems.

Hex: The Full Story is for anyone - hobbyist, professional, student, teacher - who enjoys board games, game theory, discrete math, computing, or history.

The ancient game of Go is one of the less obvious candidates for mathematical analysis.

This new edition presents the essential topics in probability and statistics from a rigorous standpoint.

Design for security and meet real-time requirements with this must-have book covering basic theory, hardware design and implementation of cryptographic algorithms, and side channel analysis.

Statistical Methods in Computer Security summarizes discussions held at the recent Joint Statistical Meeting to provide a clear layout of current applications in the field.

The third in a series of four books presenting the seminal papers from the Caltech-UCLA ''Cabal Seminar''.

Rave reviews for INTEGER AND COMBINATORIAL OPTIMIZATION "e;This book provides an excellent introduction and survey of traditional fields of combinatorial optimization .

For a brief time in history, it was possible to imagine that a sufficiently advanced intellect could, given sufficient time and resources, in principle understand how to mathematically prove everything that was true.

Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning.

With the rapid rise in the ubiquity and sophistication of Internet technology and the accompanying growth in the number of network attacks, network intrusion detection has become increasingly important.

There has been a common perception that computational complexity is a theory of "e;bad news"e; because its most typical results assert that various real-world and innocent-looking tasks are infeasible.

Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.

What is a mathematical proof?

Distributed and peer-to-peer (P2P) applications are increasing daily, and cyberattacks are constantly adopting new mechanisms to threaten the security and privacy of users in these Internet of Things (IoT) environments.

New scientific paradigms typically consist of an expansion of the conceptual language with which we describe the world.

Logic is a field studied mainly by researchers and students of philosophy, mathematics and computing.

 This book constitutes the joint refereed proceedings of the 17th International Workshop on Computer Science Logic, CSL 2003, held as the 12th Annual Conference of the EACSL and of the 8th Kurt Godel Colloquium, KGC 2003 in Vienna, Austria, in August 2003.

Mathematical Applications and Modelling is the second in the series of the yearbooks of the Association of Mathematics Educators in Singapore.

In the 21st century, digitalization is a global challenge of mankind.

This book contains classic material dating back to the 1900s and before.

Turing's famous 1936 paper introduced a formal definition of a computing machine, a Turing machine.

In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics.

This edited book focuses on concepts and their applications using the theory of conceptual spaces, one of today's most central tracks of cognitive science discourse.