Lukong Cornelius Fai

Special Functions in Physics and Engineering (eBook, ePUB)

A renewed approach with applications

• Format: ePub

Produktbeschreibung

A comprehensive-student-friendly and self-contained structured textbook aimed at stimulating students' interests and curiosity on special functions, organized in a logical and simple manner in order of complexity. The balance between theory and pertinent worked examples, which is an integral part of each chapter, reinforces the readers' understanding of the fundamental concepts. The analytical methods employed are written with mathematical rigor and clarity emphasizing a thorough knowledge of special functions with useful and helpful techniques for students pursuing graduate and undergraduate studies in mathematics, statistical and condensed matter physics, quantum mechanics, modern engineering and electronics. The comprehensive coverage of special functions and their applications in several areas of physics and engineering constitutes an unusually valuable reference and handbook.

The book starts with a geometrical approach to complex variables while visualizing complex functions as maps involving translations, rotations and scaling transformations enhancing understanding and application of integral transforms. The Laplace transform offers an elegant technique for solving linear differential equations with constant coefficients without the risk of interference besides generating non-periodic solutions as opposed to the Fourier transform. The Eulerian functions follow and subsequently generalized theory of special functions which includes hypergeometric functions , cylindrical functions then orthogonal polynomials (Jacobi, ultra-spherical, Gegenbauer, Tschebycheff, Legendre, Laguerre and Hermite polynomials then spherical functions) with parabolic cylinder, elliptic, Lame, Mathieu functions in addition to relations between orthogonal polynomials and confluent hypergeometric functions.

The textbook covers special functions at the undergraduate and graduate levels in detail, with an elegant mathematical treatment, contemporary style and rejuvenated approach.

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Produktdetails

• Verlag: Institute of Physics Publishing
• Seitenzahl: 650
• Erscheinungstermin: 19. Dezember 2024
• Englisch
• ISBN-13: 9780750361491
• Artikelnr.: 72679204

Autorenporträt

Lukong Cornelius Fai is professor of Theoretical Physics at the Department of Physics, Faculty of Sciences, University of Dschang as well as visiting professor at the Department of Physics, Faculty of Science, University of Bamenda, both in Cameroon. He is Head of Condensed Matter and Nanomaterials program at the Department of Physics, Faculty of Sciences, University of Dschang; He also heads the Condensed Matter, Electronics and Signal Processing as well as Mesoscopic and Multilayer Structures Laboratory at the Department of Physics, Faculty of Sciences, University of Dschang, and is Director of the College of Technology, University of Buea in Cameroon. He was formerly senior associate at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. He holds a Master of Science degree in Physics and Mathematics (June 1991) as well as a Doctor of Science degree in Physics and Mathematics (February 1997) from the Faculty of Physics, Department of Theoretical Physics, Moldova State University. He has authored two hundred and nine scientific publications and six books.