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A treatise on the theory of Bessel functions

A treatise on the theory of Bessel functions

Paperback

General MathematicsGeneral World HistoryPhysics

ISBN10: 9354151590
ISBN13: 9789354151590
Publisher: Alpha Edition
Published: Sep 7 2020
Pages: 814
Weight: 4.08
Height: 1.62 Width: 8.50 Depth: 11.00
Language: English
A towering investigation into Bessel functions, as exacting as it is indispensable. A classic reference for specialists. G. N. Watson's A Treatise on the Theory of Bessel Functions stands as a definitive mathematical reference book and advanced mathematics text: a precise, comprehensive study of Bessel functions and their place among higher transcendental functions. It combines clear exposition with rigorous proof, from integral representations and series to asymptotics and orthogonality, and reads as both a special functions handbook and a practical differential equations guide. Chapters map the methods underpinning Bessel function applications across mathematical physics topics, supplying the technical tools graduate mathematics students rely on and offering engineering reference use for applied problem-solving. Readers will find systematic treatment of transformations, contour integration methods and uniform asymptotic techniques that recur in scattering, wave and diffusion problems, presented with pedagogic care. Watson's authority in the subject is such that his approach is commonly invoked under the heading of Watson Bessel functions, and the work remains essential as both reference and guide. First issued during the era of early 20th century mathematics, Watson's classic mathematical treatise shaped subsequent work on special functions and continues to inform analysis across mathematical physics topics. Republished by Alpha Editions in a careful modern edition, this volume preserves the spirit of the original while making it effortless to enjoy today - a heritage title prepared for readers and collectors alike. Teachers and researchers still turn to Watson when rigorous foundations are required; the text bridges pure analysis and practical technique, supplying results that underpin contemporary work in scattering theory, wave propagation and heat conduction. Casual readers drawn to the history of ideas find lucid exposition and historical depth, and classic-literature collectors value the volume as a thoughtful addition to a specialist library. Consulted today for both historical insight and direct computational techniques, the treatise rewards careful reading and quick consultation alike.

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