CAPPARELLI - Lectures on Discrete Mathematics

• Author: Stefano Capparelli

• LECTURES ON DISCRETE MATHEMATICS

• 2nd 2025 17x24 Paperback 280 pages

• ISBN: 9788893854702 - € 30,00

• Contents

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These are the notes from my Discrete Mathematics lectures, delivered primarily to students in Communication and Electrical Engineering at Sapienza University of Rome. The course is roughly divided into the following parts: Elements of Number Theory Elements of Modern Algebra Elements of Combinatorics Elements of Graph Theory The objective of these lectures was to illustrate various topics across the broad areas of modern mathematics into which Discrete Mathematics is traditionally divided. Additionally, I aimed to take an “experimental” approach to the material, frequently encouraging students, whenever feasible, to use computers and computer algebra systems to conduct their own experiments. Given the wide range of potential topics, it was challenging to select a single textbook that encompassed everything I wanted to cover - and only that. Consequently, I consulted numerous sources, all of which are acknowledged in the bibliography and recommended for further study. The book contains also numerous solved exercises.

Stefano Capparelli, Ph.D. Rutgers University, USA, began his academic career in the United States, serving as a J.W. Gibbs Instructor at Yale University in Connecticut. He has also held teaching positions at Rutgers University and the University of Utah in Salt Lake City. Since 1999, he has been an Associate Professor at Sapienza University of Rome in the Department of Basic and Applied Sciences for Engineering. At Sapienza, Prof. Capparelli teaches Geometry and Linear Algebra for Communication and Electronic Engineering students, as well as a Discrete Mathematics course for third-year students. He holds the habilitation for Full Professorship. His research primarily focuses on the representations of infinite-dimensional Lie algebras and the theory of integer partitions.