College Publications logo   College Publications title  
View Basket
Homepage Contact page
   
 
AiML
Academia Brasileira de Filosofia
Algorithmics
Arts
Cadernos de Lógica e Computação
Cadernos de Lógica e Filosofia
Cahiers de Logique et d'Epistemologie
Communication, Mind and Language
Computing
Comptes Rendus de l'Academie Internationale de Philosophie des Sciences
Cuadernos de lógica, Epistemología y Lenguaje
DEON
Dialogues
Economics
Encyclopaedia of Logic
Filosofia
Handbooks
Historia Logicae
IfColog series in Computational Logic
Journal of Applied Logics - IfCoLog Journal
Journals
Landscapes
Logics for New-Generation AI
Logic and Law
Logic and Semiotics
Logic PhDs
Logic, Methodology and Philosophy of Science
The Logica Yearbook
Marked States
Neural Computing and Artificial Intelligence
Philosophy
Research
The SILFS series
Studies in Logic
Studies in Talmudic Logic
Student Publications
Systems
Texts in Logic and Reasoning
Texts in Mathematics
Applied Mathematics
Tributes
Other
Digital Downloads
Information for authors
About us
Search for Books
 



Texts in Mathematics


Back

A Primer of Mathematical Analysis and the Foundations of Computation

Fairouz Kamareddine and Jonathan Seldin

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 (with solutions in a separate booklet available to download from the link below) 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.

October 2023

978-1-84890-443-9

For Digital Download:
Download






© 2005–2024 College Publications / VFH webmaster