A Primer of Mathematical Analysis and the Foundations of Computation - Couverture souple

Kamareddine, Fairouz; Seldin, Jonathan

 
9781848904439: A Primer of Mathematical Analysis and the Foundations of Computation
Couverture souple
ISBN 10 : 1848904436 ISBN 13 : 9781848904439
Editeur : College Publications, 2023

Synopsis

This book is a different approach to teaching the foundations of mathematical analysis and of computation. The main idea is to delay the use of "formal definitions", which are definitions that nobody can understand without working with them. The approach of this book is to employ the history of mathematics to first develop fundamental concepts of mathematical analysis and the theory of computation and to only introduce formal definitions after the concepts are understood by the students.


The historical order clarifies what analysis is really about and also why the theory of computation came about. The book provides students with a broader background involving for instance glimpses of cardinal arithmetic, predicate logic background, as well as the importance of a sound theory of the infinitesimal (which is in essence the foundations of mathematics and computation).


There is a wealth of exercises and numerous graphical illustrations which give an experienced instructor lots of possibilities to select a stimulating course with a broader background. Even for just browsing by general readers, this book presents stories, insights and mathematical theories, covering a window of ancient times to the present.


The book is self explanatory and self sufficient, so any staff member in the departments of mathematics or computer science can teach this course.


This book will give the students the right techniques and skills to work with mathematical analysis and the theory of computation and to go on further to study more advanced courses on the subject.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
College Publications
Date d'édition
2023
Langue
anglais
ISBN 10 
1848904436
ISBN 13 
9781848904439
Reliure
Broché
Nombre de pages
436
Coordonnées du fabricant
non disponible
Personne responsable
non disponible