The Cauchy Method of Residues: Volume 2: Theory and Applications by Dragoslav S. MitrinovicThe Cauchy Method of Residues: Volume 2: Theory and Applications by Dragoslav S. Mitrinovic

The Cauchy Method of Residues: Volume 2: Theory and Applications

byDragoslav S. Mitrinovic, J.D. Keckic

Paperback | October 26, 2012

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Volume 1, i. e. the monograph The Cauchy Method of Residues - Theory and Applications published by D. Reidel Publishing Company in 1984 is the only book that covers all known applications of the calculus of residues. They range from the theory of equations, theory of numbers, matrix analysis, evaluation of real definite integrals, summation of finite and infinite series, expansions of functions into infinite series and products, ordinary and partial differential equations, mathematical and theoretical physics, to the calculus of finite differences and difference equations. The appearance of Volume 1 was acknowledged by the mathematical community. Favourable reviews and many private communications encouraged the authors to continue their work, the result being the present book, Volume 2, a sequel to Volume 1. We mention that Volume 1 is a revised, extended and updated translation of the book Cauchyjev raeun ostataka sa primenama published in Serbian by Nau<_na20_knjiga2c_20_belgrade20_in20_19782c_20_whereas20_the20_greater20_part20_of20_volume20_220_is20_based20_upon20_the20_second20_serbian20_edition20_of20_the20_mentioned20_book20_from20_1991.20_chapter20_120_is20_introductory20_while20_chapters20_220_-20_620_are20_supplements20_to20_the20_corresponding20_chapters20_of20_volume20_1.20_they20_mainly20_contain20_results20_missed20_during20_the20_preparation20_of20_volume20_120_and20_also20_some20_new20_results20_published20_after20_1982.20_besides2c_20_certain20_topics20_which20_were20_only20_briefly20_mentioned20_in20_volume20_120_are20_treated20_here20_in20_more20_detail. _knjiga2c_="" belgrade="" in="" _19782c_="" whereas="" the="" greater="" part="" of="" volume="" 2="" is="" based="" upon="" second="" serbian="" edition="" mentioned="" book="" from="" 1991.="" chapter="" 1="" introductory="" while="" chapters="" -="" 6="" are="" supplements="" to="" corresponding="" 1.="" they="" mainly="" contain="" results="" missed="" during="" preparation="" and="" also="" some="" new="" published="" after="" 1982.="" _besides2c_="" certain="" topics="" which="" were="" only="" briefly="" treated="" here="" more="">
Title:The Cauchy Method of Residues: Volume 2: Theory and ApplicationsFormat:PaperbackDimensions:198 pagesPublished:October 26, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401048835

ISBN - 13:9789401048835

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Table of Contents

Preface. 1. Introduction. 2. Evaluation of Residues. 3. Applications of Calculus of Residues in the Theory of Functions. 4. Evaluation of Real Definite Integrals by Means of Residues. 5. Evaluation of Finite and Infinite Sums by Residues. 6. Applications of Calculus of Residues to Special Functions. 7. Master's Dissertation of J.V. Sohocki. 8. On the Principal and the Generalized Value of Improper Integrals; D.S. Dimitrovski. 9. Applications of the Calculus of Residues to Numerical Evaluation of Integrals; D.D. Tosic. 10. Inclusive Calculus of Residues; M.S. Petkovic. 11. Complex Polynomials Orthogonal on the Semicircle; G.V. Milovanovic. 12. A Representation of Half Plane Meromorphic Functions; D. Mitrovic. 13. Calculus of Residues and Distributions; D. Mitrovic. Name Index. Subject Index.