Paperback. A concise monograph by two Russian experts provides an account of the operational calculus in two variables based on the two-dimensional Laplace transform. Suitable for advanced undergraduates and graduate students in mathematics, the treatment requires some familiarity with operational calculus in one variable. Part One of the two-part approach presents the fundamental theory in two chapters, examining the two-dimensional Laplace transform and offering basic definitions and theorems of the operational calculus in two variables and its applications. Part Two presents tables of formulae for various categories of functions, including rational and irrational functions; exponential and logarithmic functions; cylinder, integral, and confluent hypergeometric functions; and other areas. AUTHORS: Russian mathematician V. A. Ditkin (191086) served for many years on faculty of the Computing Centre of the Academy of Sciences of the U.S.S.R. A. P. Prudnikov (192799) was a Russian mathematician and a student of V. A. Ditkin. The two co-authored several handbooks on integral transforms and operational calculus. Concise treatment of fundamental theory explores two-dimensional Laplace transform and basic definitions, theorems, applications of operational calculus in two variables. Includes tables of formulae for various categories of functions. 1962 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Operational Calculus in Two Variables and its Applications (Paperback)
Publisher: Dover Publications Inc., New York
Publication Date: 2017
Language: English
ISBN 10: 0486818497
ISBN 13: 9780486818498
Binding: Paperback
Condition: new

About this title

Synopsis

A concise monograph by two Russian experts provides an account of the operational calculus in two variables based on the two-dimensional Laplace transform. Suitable for advanced undergraduates and graduate students in mathematics, the treatment requires some familiarity with operational calculus in one variable.
Part One of the two-part approach presents the fundamental theory in two chapters, examining the two-dimensional Laplace transform and offering basic definitions and theorems of the operational calculus in two variables and its applications. Part Two presents tables of formulae for various categories of functions, including rational and irrational functions; exponential and logarithmic functions; cylinder, integral, and confluent hypergeometric functions; and other areas.

About the Author

Russian mathematician V. A. Ditkin (1910–86) served for many years on faculty of the Computing Centre of the Academy of Sciences of the U.S.S.R.
A. P. Prudnikov (1927–99) was a Russian mathematician and a student of V. A. Ditkin. The two co-authored several handbooks on integral transforms and operational calculus.
D. M. G. Wishart was a Lecturer in Mathematics at the U.K.'s University of Birmingham.

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