A Gentle Introduction to the Art of Mathematics

This open-source textbook covers several topics in the foundations of mathematics (logic, sets, relations, functions and cardinality) and introduces the reader to many techniques of mathematical proof.

**Tag(s):**
Mathematics

**Publication date**: 31 Dec 2010

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
438 pages

**Views**: 22,365

**Type**: N/A

**Publisher**:
n/a

**License**:
GNU Free Documentation License Version 1.3

**Post time**: 14 Dec 2010 05:54:50

A Gentle Introduction to the Art of Mathematics

This open-source textbook covers several topics in the foundations of mathematics (logic, sets, relations, functions and cardinality) and introduces the reader to many techniques of mathematical proof.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

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Excerpts from the Book Description:

Joseph Field wrote:A Gentle Introduction to the Art of Mathematics (GIAM for short) is a textbook for a "transitions" course. Transitions courses (also known as "foundations" or "intro to proofs" courses) are typically taken after the Calculus sequence and before upper-division coursework in the mathematics major. Their purpose is to acclimatize the student to some of the culture and terminology of mathematics and to begin developing in them a proficiency at reading and writing mathematical proofs. GIAM has chapters on Logic, Set theory, Relations and Cardinality interspersed with chapters on proofs -- direct and indirect arguments, induction, combinatorial reasoning and "magic". Also, there are amusing quotations at the start of every chapter.

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About The Author(s)

Joe Fields is a professor in the Mathematics Department at Southern Connecticut State University. He earned his doctorate at the University of Illinois, Chicago under the direction of Vera Pless. His thesis was in the area of Algebraic Coding Theory, an interest which he continues to pursue as lead developer and maintainer of the GAP package Guava, a computational tool for researchers in Coding Theory.

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