Silverman, Richard A.
Overview
Works:  132 works in 877 publications in 2 languages and 12,805 library holdings 

Roles:  Author, Editor, Translator, Other, tra 
Classifications:  QA331, 517.8 
Publication Timeline
.
Most widely held works by
Richard A Silverman
Theory of functions of a complex variable by
A. I Markushevich(
Book
)
49 editions published between 1965 and 2011 in English and Italian and held by 1,090 WorldCat member libraries worldwide
49 editions published between 1965 and 2011 in English and Italian and held by 1,090 WorldCat member libraries worldwide
Special functions and their applications by
N. N Lebedev(
Book
)
34 editions published between 1965 and 1972 in English and held by 870 WorldCat member libraries worldwide
Richard Silverman's new translation makes available to English readers the work of the famous contemporary Russian mathematician N. N. Lebedev. Though extensive treatises on special functions are available, these do not serve the student or the applied mathematician as well as Lebedev's introductory and practically oriented approach. His systematic treatment of the basic theory of the more important special functions and the applications of this theory to specific problems of physics and engineering results in a practical course in the use of special functions for the student and for those concerned with actual mathematical applications or uses. In consideration of the practical nature of the coverage, most space has been devoted to the application of cylinder functions and particularly of spherical harmonics. Lebedev, however, also treats in some detail: the gamma function, the probability integral and related functions, the exponential integral and related functions, orthogonal polynomials with consideration of Legendre, Hermite and Laguerre polynomials (with exceptional treatment of the technique of expanding functions in series of Hermite and Laguerre polynomials), the Airy functions, the hypergeometric functions (making this often slighted area accessible to the theoretical physicist), and parabolic cylinder functions. The arrangement of the material in the separate chapters, to a certain degree, makes the different parts of the book independent of each other. Although a familiarity with complex variable theory is needed, a serious attempt has been made to keep to a minimum the required background in this area. Various useful properties of the special functions which do not appear in the text proper will be found in the problems at the end of the appropriate chapters. This edition closely adheres to the revised Russian edition (Moscow, 1965). Richard Silverman, however, has made the book even more useful to the English reader. The bibliography and references have been slanted toward books available in English or the West European languages, and a number of additional problems have been added to this edition
34 editions published between 1965 and 1972 in English and held by 870 WorldCat member libraries worldwide
Richard Silverman's new translation makes available to English readers the work of the famous contemporary Russian mathematician N. N. Lebedev. Though extensive treatises on special functions are available, these do not serve the student or the applied mathematician as well as Lebedev's introductory and practically oriented approach. His systematic treatment of the basic theory of the more important special functions and the applications of this theory to specific problems of physics and engineering results in a practical course in the use of special functions for the student and for those concerned with actual mathematical applications or uses. In consideration of the practical nature of the coverage, most space has been devoted to the application of cylinder functions and particularly of spherical harmonics. Lebedev, however, also treats in some detail: the gamma function, the probability integral and related functions, the exponential integral and related functions, orthogonal polynomials with consideration of Legendre, Hermite and Laguerre polynomials (with exceptional treatment of the technique of expanding functions in series of Hermite and Laguerre polynomials), the Airy functions, the hypergeometric functions (making this often slighted area accessible to the theoretical physicist), and parabolic cylinder functions. The arrangement of the material in the separate chapters, to a certain degree, makes the different parts of the book independent of each other. Although a familiarity with complex variable theory is needed, a serious attempt has been made to keep to a minimum the required background in this area. Various useful properties of the special functions which do not appear in the text proper will be found in the problems at the end of the appropriate chapters. This edition closely adheres to the revised Russian edition (Moscow, 1965). Richard Silverman, however, has made the book even more useful to the English reader. The bibliography and references have been slanted toward books available in English or the West European languages, and a number of additional problems have been added to this edition
Introductory complex analysis by
Richard A Silverman(
Book
)
37 editions published between 1967 and 2013 in 3 languages and held by 798 WorldCat member libraries worldwide
A shorter version of A.I. Markushevich's masterly threevolume Theory of Functions of a Complex Variable, this edition is appropriate for advanced undergraduate and graduate courses in complex analysis. Numerous workedout examples and more than 300 problems, some with hints and answers, make it suitable for independent study. 1967 edition
37 editions published between 1967 and 2013 in 3 languages and held by 798 WorldCat member libraries worldwide
A shorter version of A.I. Markushevich's masterly threevolume Theory of Functions of a Complex Variable, this edition is appropriate for advanced undergraduate and graduate courses in complex analysis. Numerous workedout examples and more than 300 problems, some with hints and answers, make it suitable for independent study. 1967 edition
Integral, measure and derivative : a unified approach by
G. E Shilov(
Book
)
34 editions published between 1966 and 1990 in English and held by 741 WorldCat member libraries worldwide
This treatment examines the general theory of the integral, Lebesque integral in nspace, the RiemannStieltjes integral, and more. The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians.? SciTech Book News. 1966 edition
34 editions published between 1966 and 1990 in English and held by 741 WorldCat member libraries worldwide
This treatment examines the general theory of the integral, Lebesque integral in nspace, the RiemannStieltjes integral, and more. The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians.? SciTech Book News. 1966 edition
Probability theory; basic concepts, limit theorems, random processes by
I︠U︡. A Rozanov(
Book
)
28 editions published between 1969 and 1977 in English and Italian and held by 675 WorldCat member libraries worldwide
This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De MoivreLaplace theorem, a detailed treatment of Markov chains, continuous Markov processes, and more. Includes 150 problems, many with answers. Indispensable to mathematicians and natural scientists alike
28 editions published between 1969 and 1977 in English and Italian and held by 675 WorldCat member libraries worldwide
This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De MoivreLaplace theorem, a detailed treatment of Markov chains, continuous Markov processes, and more. Includes 150 problems, many with answers. Indispensable to mathematicians and natural scientists alike
Complex analysis with applications by
Richard A Silverman(
Book
)
27 editions published between 1973 and 1988 in English and Undetermined and held by 574 WorldCat member libraries worldwide
27 editions published between 1973 and 1988 in English and Undetermined and held by 574 WorldCat member libraries worldwide
Elementary real and complex analysis by
G. E Shilov(
Book
)
23 editions published between 1973 and 1996 in English and held by 508 WorldCat member libraries worldwide
Excellent undergraduatelevel text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, series, the derivative, higher derivatives, the integral and more. Each chapter contains a problem set (hints and answers at the end), while a wealth of examples and applications are found throughout the text. Over 340 theorems fully proved. 1973 edition
23 editions published between 1973 and 1996 in English and held by 508 WorldCat member libraries worldwide
Excellent undergraduatelevel text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, series, the derivative, higher derivatives, the integral and more. Each chapter contains a problem set (hints and answers at the end), while a wealth of examples and applications are found throughout the text. Over 340 theorems fully proved. 1973 edition
Modern calculus and analytic geometry by
Richard A Silverman(
Book
)
16 editions published between 1034 and 2014 in English and Undetermined and held by 426 WorldCat member libraries worldwide
A selfcontained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous workedout examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory  many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This wellorganized, unified text is copiously illustrated, amply crossreferenced, and fully indexed
16 editions published between 1034 and 2014 in English and Undetermined and held by 426 WorldCat member libraries worldwide
A selfcontained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous workedout examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory  many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This wellorganized, unified text is copiously illustrated, amply crossreferenced, and fully indexed
Problems of mathematical physics by
N. N Lebedev(
Book
)
14 editions published in 1965 in English and held by 416 WorldCat member libraries worldwide
14 editions published in 1965 in English and held by 416 WorldCat member libraries worldwide
Elementary functional analysis by
G. E Shilov(
Book
)
16 editions published between 1974 and 1996 in English and held by 402 WorldCat member libraries worldwide
Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms? including problems in the complex domain, especially involving the Laplace transform? and more. Each chapter includes a set of problems, with hints and answers. Bibliography. 1974 edition
16 editions published between 1974 and 1996 in English and held by 402 WorldCat member libraries worldwide
Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms? including problems in the complex domain, especially involving the Laplace transform? and more. Each chapter includes a set of problems, with hints and answers. Bibliography. 1974 edition
Fourier series by
G. P Tolstov(
Book
)
16 editions published between 1962 and 2014 in 3 languages and held by 372 WorldCat member libraries worldwide
This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series, and much more. Over 100 problems at ends of chapters. Answers in back of book. 1962 edition
16 editions published between 1962 and 2014 in 3 languages and held by 372 WorldCat member libraries worldwide
This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series, and much more. Over 100 problems at ends of chapters. Answers in back of book. 1962 edition
Worked problems in applied mathematics by
N. N Lebedev(
Book
)
13 editions published between 1979 and 1985 in English and Undetermined and held by 356 WorldCat member libraries worldwide
13 editions published between 1979 and 1985 in English and Undetermined and held by 356 WorldCat member libraries worldwide
Essential calculus with applications by
Richard A Silverman(
Book
)
14 editions published between 1977 and 2013 in English and held by 306 WorldCat member libraries worldwide
Rigorous but accessible text introduces undergraduatelevel students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition
14 editions published between 1977 and 2013 in English and held by 306 WorldCat member libraries worldwide
Rigorous but accessible text introduces undergraduatelevel students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition
Functional series by
Richard A Silverman(
Book
)
10 editions published in 1970 in English and held by 292 WorldCat member libraries worldwide
10 editions published in 1970 in English and held by 292 WorldCat member libraries worldwide
Calculus of variations by
I. M Gelʹfand(
Book
)
42 editions published between 1963 and 2000 in English and Italian and held by 286 WorldCat member libraries worldwide
First 6 chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices
42 editions published between 1963 and 2000 in English and Italian and held by 286 WorldCat member libraries worldwide
First 6 chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices
An introduction to linear algebra and tensors by
M. A Akivis(
Book
)
16 editions published in 1977 in English and held by 270 WorldCat member libraries worldwide
This book constitutes a lucid and completely elementary introduction to linear algebra
16 editions published in 1977 in English and held by 270 WorldCat member libraries worldwide
This book constitutes a lucid and completely elementary introduction to linear algebra
Infinite series: rudiments by
G. M Fikhtengolʹt︠s︡(
Book
)
11 editions published in 1970 in English and Undetermined and held by 268 WorldCat member libraries worldwide
11 editions published in 1970 in English and Undetermined and held by 268 WorldCat member libraries worldwide
Mathematical problems; an anthology by
E. B Dynkin(
Book
)
11 editions published between 1967 and 1969 in English and held by 235 WorldCat member libraries worldwide
11 editions published between 1967 and 1969 in English and held by 235 WorldCat member libraries worldwide
Sequences and combinatorial problems by
Richard A Silverman(
Book
)
18 editions published between 1968 and 1970 in English and held by 229 WorldCat member libraries worldwide
18 editions published between 1968 and 1970 in English and held by 229 WorldCat member libraries worldwide
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Related Identities
 Shilov, G. E. (Georgiĭ Evgenʹevich) Author
 Lebedev, N. N. (Nikolaĭ Nikolaevich) Author
 Markushevich, A. I. (Alekseĭ Ivanovich) 1908 Author
 Gurevich, B. L. (Boris Lazarevich)
 Skalʹskai︠a︡, I. P.
 Ufli︠a︡nd, I︠A︡. S. (I︠A︡kov Solomonovich)
 Rozanov, I︠U︡. A. (I︠U︡riĭ Anatolʹevich) 1934 Author
 Gelʹfand, I. M. (Izrailʹ Moiseevich) Author
 Fikhtengolʹt︠s︡, G. M. (Grigoriĭ Mikhaĭlovich) 18881959 Author
 Fomin, S. V. (Sergeĭ Vasilʹevich) Author
Associated Subjects
Algebras, Linear Analytic functions Calculus Calculus of tensors Calculus of variations Combinations Combinatorial analysis Fourier analysis Fourier series Functional analysis Functions Functions, Special Functions of complex variables Functions of real variables Geometry, Analytic Induction (Mathematics) Integrals, Generalized Limit theorems (Probability theory) Mathematical analysis Mathematical physics Mathematics Measure theory Power, Tyrone, Probabilities Sequences (Mathematics) Series, Infinite Stochastic processes