Books in category Mathematics – Set Theory

Presents a guide to the basic logic of mathematical proofs, describing the steps in construction of a proof and how and why a proof works.

What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique.

The comprehensive index of concepts turns the book into a sort of encyclopaedia for researchers from a number of fields. 'A Geometry of Approximation' links many areas of academic pursuit without losing track of its focal point, Rough Sets.

The Search for Mathematical Roots, 18701940
There is a large body of historical literature that is in need of just the kind of synthesis and masterly overview that this work provides.

Logical Frameworks for Truth and Abstraction
This particular volume, however, is not concerned with paradoxes but with the investigation of typefree sytems to show that: (i) there are rich theories of selfapplication, involving both operations and truth which can serve as …

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

Fuzzy Logic and Probability Applications
Shows both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two.

Lectures on Monte Carlo Methods
This book is an introduction to Monte Carlo methods for anyone who would like to use these methods to study various kinds of mathematical models that arise in diverse areas of application.

Polynomial Completeness in Algebraic Systems
Thus Polynomial Completeness in Algebraic Systems constitutes an accessible, coherent presentation of this rich topic valuable to both researchers and graduate students in general algebraic systems.

A First Course in Complex Analysis with Applications
The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis.