Neil R. Nicholson

A Transition to Proof (eBook, ePUB)

An Introduction to Advanced Mathematics

• Format: ePub

Produktbeschreibung

The fundamental tool of theoretical mathematics is mathematical proof. Any claim or justification a mathematician makes must be proven. This book is designed for a reader who wants to learn what exactly a mathematical proof is, how they are constructed, and how to go about writing one.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 462
• Erscheinungstermin: 21. März 2019
• Englisch
• ISBN-13: 9780429535475
• Artikelnr.: 55885750

Autorenporträt

Dr. Neil R. Nicholson is Associate Professor of Mathematics at North Central College. He holds a Ph.D. in Mathematics from The University of Iowa, specializing in knot theory. His research interests have consistently been topics accessible to undergraduates; collaborating with them on original research is a fundamental goal of his professional development. In 2015, he earned the Clarence F. Dissinger Award for Junior Faculty Teaching at North Central College. He serves as the Faculty Athletic Representative to the NCAA for North Central College.

Inhaltsangabe

Symbolic Logic

Sets

Introduction to Proofs

Mathematical Induction

Relations

Functions

Cardinality

Introduction to Topology

Properties of the Real Number System

Proof Writing Tips

Selected Solutions and Hints