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Logic Programming with Prolog
Logic Programming with Prolog
This book teaches the techniques of Logic Programming through the Prolog language. The name stands for Programming in Logic. Prolog has been used for a wide variety of applications, including as the basis for a standard ‘knowledge representation language’ for the Semantic Web – the next generation of internet technology; it is one...
Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics)
Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics)
This book provides an introduction to the ideas and techniques of differential geometry and topology. It starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. Using many illustrations, exercises, and problems, the author demonstrates more elaborate concepts of topology and geometry,...
Advances in Applied Artificial Intelligence (Computational Intelligence and Its Applications)
Advances in Applied Artificial Intelligence (Computational Intelligence and Its Applications)
Discussion on the nature of intelligence long pre-dated the development of the
electronic computer, but along with that development came a renewed burst of investigation
into what an artificial intelligence would be. There is still no consensus on how
to define artificial intelligence: Early definitions tended to discuss the type of
...
Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications)
Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications)
The purpose of this reviewarticle is to serve as an introduction and at the same time, as an invitation to the theory of towers of function fields over finite fields. More specifically, we treat here the case of explicit towers; i.e., towers where the function fields are given by explicit equations. The asymptotic behaviour of the genus and of the...
Beyond Reason: Eight Great Problems That Reveal the Limits of Science
Beyond Reason: Eight Great Problems That Reveal the Limits of Science
A mind-bending excursion to the limits of science and mathematics
Are some scientific problems insoluble? In Beyond Reason, internationally acclaimed math and science author A. K. Dewdney answers this question by examining eight insurmountable mathematical and scientific roadblocks that have stumped thinkers across the
...
Logic and Structure (Universitext)
Logic and Structure (Universitext)

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 Gödel’s famous incompleteness theorem.

Propositional and predicate logic are presented in an easy-to-read style using...

Information Theory and Reliable Communication
Information Theory and Reliable Communication
This book is designed primarily for use as a first-year graduate text in information theory, suitable for both engineers and mathematicians. It is assumed that the reader has some understanding of freshman calculus and elementary probability, and in the later chapters some introductory random process theory. Unfortunately there is one more...
Mathematical Statistics for Economics and Business
Mathematical Statistics for Economics and Business

Mathematical Statistics for Economics and Business, Second Edition, provides a comprehensive introduction to the principles of mathematical statistics which underpin statistical analyses in the fields of economics, business, and econometrics.  The selection of topics in this textbook is designed to provide students with a...

The Curve Shortening Problem
The Curve Shortening Problem

Although research in curve shortening flow has been very active for nearly 20 years, the results of those efforts have remained scattered throughout the literature. For the first time, The Curve Shortening Problem collects and illuminates those results in a comprehensive, rigorous, and self-contained account of the fundamental results.
...

A Probability Path (Modern Birkhäuser Classics)
A Probability Path (Modern Birkhäuser Classics)

Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake. Instead,...

Introduction to Real Analysis
Introduction to Real Analysis

Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations research, and engineering. The text presents the first elementary exposition of the gauge integral and...

Discrete Mathematics for Computer Scientists
Discrete Mathematics for Computer Scientists

Many colleges and universities offer a course in discrete mathematics. Students taking these courses are from many disciplines, one of the largest being computer science. As a part of the Mathematics Across the Curriculum project at Dartmouth, supported by the National Science Foundation,1 we proposed to create a discrete mathematics...

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