Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions (Dover Books on Mathematics) by Orin J. Farrell (PDF)

Description

Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. The first two chapters examine gamma and beta functions, including applications to certain geometrical and physical problems such as heat-flow in a straight wire. The following two chapters treat Legendre polynomials, addressing applications to specific series expansions, steady-state heat-flow temperature distribution, gravitational potential of a circular lamina, and application of Gauss’s mechanical quadrature formula with pertinent table. The final chapters explore Bessel functions, discussing differentiation formulas, generating functions, relations to Legendre polynomials, and other applications.This volume constitutes a useful tool for professional engineers and experimental physicists. Students of mathematics, physics, and engineering will particularly benefit from the book’s expanded solutions.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The field of Advanced Mathematical Analysis has many different textbooks and authors. As with instructors, each has their own personality and presentation style. Similarly, some are good and some – well not so good. As I study to teach myself, I am looking for the former. Functions like the Gamma Function, Beta Function, Legendre Functions, Bessel Functions can be found in many texts but as an engineer, one not only wants to learn the mathematics but is also interested in some of the classical problems such functions will solve. I would suggest this to math, physics or engineering students that is taking an Advanced Analysis course, from an Applied Mathematics perspective, but are interested in how such functions are applied or as a nice text for preparing for an exam. The text has the flavor of a Schaum’ Outline Approach that walks the student through a problem solution in a step by step manner. These authors are seasoned instructors that spent time learning their craft to train minds. I am pleased to have this text in my personal library.

⭐there isn’t a benefit of this old book and its highly recommended Do not Take Risks to buy this book ,due to the poor stuff and the materials which are covered in this book

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