Special Functions for Scientists and Engineers (Dover Books on Mathematics) by W. W. Bell (PDF)

Description

Clear and comprehensive, this text provides undergraduates with a straightforward guide to special functions. It is equally suitable as a reference volume for professionals, and readers need no higher level of mathematical knowledge beyond elementary calculus. Topics include the solution of second-order differential equations in terms of power series; gamma and beta functions; Legendre polynomials and functions; Bessel functions; Hermite, Laguerre, and Chebyshev polynomials; Gegenbauer and Jacobi polynomials; and hypergeometric and other special functions. Three appendices offer convenient tabulation of principal results, and a generous supply of worked examples and problems includes some hints and solutions. 1968 edition. 25 figures.

User’s Reviews

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

⭐Functions covered are:Laguerre polynomials, Legendre polynomials, Bessel functions, Chebyshev polynomials, Debye functions, Elliptic function, Error function, Fresnel integrals, Gamma function (Incomplete/Complete), Gegenbauer polynomials, Jacobi polynomials, Hankel functions, Hermite polynomials, Hypergeometric functions, Kelvin’s functions, Kummer function, Logarithmic integral, Neumann functions, Riemann Zeta function, Weber-Hermite functions.The Chapter list is as follows:1. Series solution of Differential Equations2. Gamma and Beta functions3. Legendre polynomials and functions4. Bessel functions5. Hermite polynomials6. Laguerre polynomials7. Chebyshev polynomials8. Gegenbauer and Jacobi polynomials9. Hypergeometric functions10. Other special functionsAll the other functions i listed before are covered in less detail than the main chapter titles. This book has a very great deal of recursive ways of finding identities between special functions and does a good job doing so. I read this to learn more about the special functions i was using in some of my physics classes to get more depth about them and this book definitely covers a good deal of deriving a lot of these interesting identities through mostly recursive relations, summation methods and identities between previously proven functions so there is a lot of flipping if you want to check between steps. I can’t say i read this book casually, i actually had to write down some of the equations and work them out myself and it did take a bit of time but i was happy with the result. As for the problems in the book, the proven identities come in very handy when solving some tough problems that would normally take much longer if done using any other methods and are pretty applicable for example some high level physics courses like quantum and statistical mechanics. The book is very cheap for the amount of reference you will get out of it and the added depth on deriving identities for the main chapter equations is really worth it

⭐With many complicated but basic calculations.

⭐Although, the book only uses real analysis to prove its conclusions, the book is very good as an extensive exposition of the theory of special functions in advanced math.

⭐This book is highly recommended for its clarity; all steps are explained in detail, there are clear examples and the answers to all exercises. The only complaint could be that the independent variable is real and not complex. All books should be written like the author does.

⭐It was a good book, well written and the proofs were great. First time I have read a book by this author,W. W. Bell.

⭐Very good one !

⭐Superb! The clarity and rigor are remarkable.

⭐special functions for special people

⭐Nulla di più di un manuale sulle principali funzioni trascendenti matematiche, ma non esauriente, e neppure completo. Ha, tuttavia, il grande merito di riportare tutte (o quasi) le dimostrazioni delle formule riportate, a differenza di tanti altri testi che lasciano questa incombenza (non sempre elementare) al lettore.Very good representation and the book I received in very good condition. Thanks also for sellar. To master on special function I recomend this book.

⭐Un buen libro de funciones especiales para personas que apenas empiezan con su estudio en ellas, vienen varios ejemplos de sus propiedades que son útiles, lo único que adolece el libro es que no contiene ejemplos de donde ocupar las funciones especiales (Caso concreto en la Mecánica Cuántica), en general un buen libro para empezar.One word , wonderful. Very short book which covers as much contents as possible.

⭐Libro que me gusto mucho

⭐

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