Eulerian Numbers (Selected Chapters of Number Theory: Special Numbers) - Hardcover

Deza, Elena

Hardcover

ISBN 10: 9819818656 ISBN 13: 9789819818655

Publisher: WSPC, 2025

Synopsis

Within these pages readers will find the complete theory of a renowned class of special numbers, Eulerian numbers, as well as some generalisations and relatives (Eulerian numbers of the second order, factorial numbers, Euler numbers, etc.), their properties, their facts, and their theorems, alongside full proofs. The "names" of many of the special numbers essential to so many aspects of number theory, general mathematics, and numerous applied areas are known to every mathematician: Fermat numbers, Mersenne numbers, Fibonacci numbers, etc. Yet actual information on these numbers is often scattered in the available literature. Those books which do contain such information are often out of date or generalised. It is the goal of this series to remedy this gap. Among the topics covered in this text are the key definitions, the collected main properties of considered mathematical objects, the main questions of Eulerian numbers of the first- and second-orders, the integral main facts of the theory of set partitions, recurrent equations, and generating functions, and much more. A comprehensive and exclusive collection of practice exercises and an expansive mini dictionary are included to support these points of learning. This comes together to provide an accessible guide to the field of Eulerian numbers for not only undergraduate students of Mathematics but also for professionals and the general interested audience.

About this title

About the Author

Elena (Ivanovna) Deza has been affiliated with the Moscow Pedagogical State University since 1988, and attained full professorship there in 2006. Among others, she conducts a special course with both Moscow State Pedagogical University and Moscow Independent University on "Topics in Special Numbers", and has previously been involved in the research of Analytic Number Theory, Theory of Discrete Metric Spaces, Discrete Mathematics, and Problems of Mathematical Education. With a primary interest in Number Theory and Discrete Mathematics, Professor Deza has written 60 research papers, several mathematical textbooks, many monographs, and multiple books on the teaching of Mathematics, including Dictionary of Distances, Encyclopedia of Distances, Figurate Numbers, Generalizations of Finite Metrics and Cuts, Mersenne Numbers and Fermat Numbers, Perfect and Amicable Numbers, Stirling Numbers, and Catalan Numbers.

Edition details

• Publisher: WSPC
• Publication date: 2025
• Language: English
• ISBN 10: 9819818656
• ISBN 13: 9789819818655
• Binding: Hardcover
• Number of pages: 488