Mathematical foundations

Fourier analysis has many scientific applications - in physics, number theory, combinatorics, signal processing, probability theory, statistics, option pricing, cryptography, acoustics, oceanography, optics and diffraction, geometry, and other areas.

¡Descubre el lado divertido de las matemáticas universitarias!

Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations.

This eminently readable book focuses on the people of mathematics and draws the reader into their fascinating world.

The definitive guide to queueing theory and its practical applications features numerous real-world examples of scientific, engineering, and business applications Thoroughly updated and expanded to reflect the latest developments in the field, Fundamentals of Queueing Theory, Fifth Edition presents the statistical principles and processes involved in the analysis of the probabilistic nature of queues.

This book examines positions that challenge the Fregean logic-first view.

The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject.

This book, written primarily for the young adult reader, tells the life story of Emmy Noether, the most important female mathematician of our time.

Comprehensive and up-to-date coverage of topological graph theory.

Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists.

In this book I argue that a reason for the limited success of various studies under the general heading of cybernetics is failure to appreciate the importance of con- nuity, in a simple metrical sense of the term.

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.

This volume commemorates the life, work and foundational views of Kurt Gödel by exploring the impact of his work and its future implications.

The volume includes twenty-five research papers presented as gifts to John L.

Die theoretische Logik, auch mathematische oder symbolische Logik genannt, ist eine Ausdehnung der formalen Methode der Mathematik auf das Gebiet der Logik.

This book covers blockchain from the underlying principles to how it enables applications to survive and surf on its shoulder.

A dissection involves cutting a polygon into pieces in such a way that those pieces form another polygon; for a hinged dissection, the pieces must be attached by hinges.

Alex Oliver and Timothy Smiley provide a natural point of entry to what for most readers will be a new subject.

Logic networks and automata are facets of digital systems.

This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs.

The philosophy of computer science is concerned with issues that arise from reflection upon the nature and practice of the discipline of computer science.

Cellular automata provide one of the most interesting avenues into the study of complex systems in general, as well as having an intrinsic interest of their own.

The idea of the present volume emerged in 2002 from a series of talks by Frank Stephan in 2002, and John Case in 2003, on developments of algorithmic learning theory.

Godel's true-but-unprovable sentence from the first incompleteness theorem is purely logical in nature, i.

The subject of mathematics is not something distant, strange, and abstract that you can only learn about-and often dislike-in school.

Gerhard Gentzen has been described as logic's lost genius, whom Godel called a better logician than himself.

As the famous Pythagorean statement reads, 'Number rules the universe', and its veracity is proven in the many mathematical discoveries that have accelerated the development of science, engineering, and even philosophy.

Volumes 21 and 22 of Advances in Chemical Engineering contain ten prototypical paradigms which integrate ideas and methodologies from artificial intelligence with those from operations research, estimation andcontrol theory, and statistics.

This volume contains the invited papers presented at the 14th British Combinatorial Conference, held at the University of Keele in July 1993.

It is not always clear what computer programs mean in the various languages in which they can be written, yet a picture can be worth 1000 words, a diagram 1000 instructions.

This book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies.

Lattice-valued Logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems.

Originally published in 1962.

This book explains exactly what human knowledge is.

This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Lukasiewicz infinite-valued logic.

This book constitutes the refereed proceedings of the 41st IFIP WG 6.

The European Summer School in Logic, Language and Information (ESSLLI) is organized every year by the Association for Logic, Language and Information (FoLLI) in different sites around Europe.

This book brings together contributions by leading researchers in computational complexity theory written in honor of Somenath Biswas on the occasion of his sixtieth birthday.

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.

The idea for this book was conceived over the second bottle of Villa Maria's Caber- net Medot '89, at the dinner of the Australasian Combinatorics Conference held at Palmerston North, New Zealand in December 1990, where the authors first met and discovered they had a number of interests in common.

This volume considers the computational complexity of determining whether a system of equations over a fixed algebra A has a solution.

A dissection involves cutting a polygon into pieces in such a way that those pieces form another polygon; for a hinged dissection, the pieces must be attached by hinges.

The remarkable properties of the numbers one through nineIn Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics.

This book offers insight into the nature of meaningful discourse.

Volumes 21 and 22 of Advances in Chemical Engineering contain ten prototypical paradigms which integrate ideas and methodologies from artificial intelligence with those from operations research, estimation andcontrol theory, and statistics.

This book presents the state of the art in the fields of formal logic pioneered by Graham Priest.

The book offers a collection of essays on various aspects of Leibniz's scientific thought, written by historians of science and world-leading experts on Leibniz.