Umbral Calculus: Techniques for Pure and Applied Mathematicians

Umbral Calculus: Techniques for Pure and Applied Mathematicians
Author: Stefano Spezia (Editor)
Publisher finelybook 出版社:‏ Arcler Press
Publication Date 出版日期:‏ 2024-01-10
Language 语言: English
Print Length 页数: 279 pages
ISBN-10: 1774698757
ISBN-13: 9781774698754

Book Description


Since 1850, mathematicians have successfully applied umbral calculus in many fields of mathematics and physics. The success of umbral calculus is due to the possibility of using techniques that have simplified the technicalities of calculations, which are usually wearisome when performed with conventional methods. Umbral Calculus: Techniques for Pure and Applied Mathematics book provides the theoretical basis and many examples of umbral calculus, including operator theory, Hermite, Frobenius-Euler, and other special polynomials, Bessel functions, and at the end, results concerning number theory within umbral calculus viewpoint.

About the Author

Stefano Spezia was born in Erice (Italy) in 1981. He obtained a master’s degree in Electronic Engineering (Telecommunications) at the University of Palermo in 2006, and in 2012, at the same university, he got a PhD degree in Applied Physics. From 2007 to 2014, he carried out research in the Physics of Complex Ecological Systems, Semiconductor Spintronics, Nonlinear Optics and Quantum Optics, publishing several works in international journals and books. Since 2014, high school teacher of Mathematics and Physics. He is also an amateur mathematician interested in integer sequences.

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