Silverman, Richard A.
Overview
Works:  135 works in 905 publications in 2 languages and 12,715 library holdings 

Genres:  Textbooks 
Roles:  Author, Editor, Translator, Other, tra 
Classifications:  QA331, 515.9 
Publication Timeline
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Most widely held works by
Richard A Silverman
Theory of functions of a complex variable by
A. I Markushevich(
Book
)
46 editions published between 1965 and 2005 in English and Italian and held by 1,052 WorldCat member libraries worldwide
46 editions published between 1965 and 2005 in English and Italian and held by 1,052 WorldCat member libraries worldwide
Special functions and their applications by
N. N Lebedev(
Book
)
36 editions published between 1965 and 1973 in English and held by 967 WorldCat member libraries worldwide
Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hypergeometric functions; more. Translated by Richard Silverman
36 editions published between 1965 and 1973 in English and held by 967 WorldCat member libraries worldwide
Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hypergeometric functions; more. Translated by Richard Silverman
Introductory complex analysis by
Richard A Silverman(
)
39 editions published between 1967 and 2013 in 3 languages and held by 893 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
39 editions published between 1967 and 2013 in 3 languages and held by 893 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
Elementary real and complex analysis by
G. E Shilov(
Book
)
32 editions published between 1973 and 1996 in English and held by 842 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
32 editions published between 1973 and 1996 in English and held by 842 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
Integral, measure and derivative : a unified approach by
G. E Shilov(
Book
)
36 editions published between 1966 and 1990 in English and held by 823 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
36 editions published between 1966 and 1990 in English and held by 823 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
Introductory probability theory by
I︠U︡. A Rozanov(
Book
)
28 editions published between 1969 and 1977 in English and Italian and held by 766 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 766 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
)
30 editions published between 1973 and 1988 in English and held by 572 WorldCat member libraries worldwide
30 editions published between 1973 and 1988 in English and held by 572 WorldCat member libraries worldwide
Modern calculus and analytic geometry by
Richard A Silverman(
Book
)
17 editions published between 1034 and 2014 in English and Undetermined and held by 513 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
17 editions published between 1034 and 2014 in English and Undetermined and held by 513 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
Elementary functional analysis by
G. E Shilov(
Book
)
17 editions published between 1974 and 1996 in English and held by 477 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
17 editions published between 1974 and 1996 in English and held by 477 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
)
18 editions published between 1962 and 2017 in 3 languages and held by 466 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
18 editions published between 1962 and 2017 in 3 languages and held by 466 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
Essential calculus with applications by
Richard A Silverman(
Book
)
13 editions published between 1977 and 2013 in English and held by 411 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
13 editions published between 1977 and 2013 in English and held by 411 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
Problems of mathematical physics by
N. N Lebedev(
Book
)
15 editions published in 1965 in English and held by 406 WorldCat member libraries worldwide
15 editions published in 1965 in English and held by 406 WorldCat member libraries worldwide
Calculus of variations by
I. M Gelʹfand(
Book
)
41 editions published between 1963 and 2000 in English and Italian and held by 387 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
41 editions published between 1963 and 2000 in English and Italian and held by 387 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
Worked problems in applied mathematics by
N. N Lebedev(
Book
)
13 editions published between 1979 and 1985 in English and Undetermined and held by 349 WorldCat member libraries worldwide
13 editions published between 1979 and 1985 in English and Undetermined and held by 349 WorldCat member libraries worldwide
Functional series by
Richard A Silverman(
Book
)
8 editions published in 1970 in English and held by 284 WorldCat member libraries worldwide
8 editions published in 1970 in English and held by 284 WorldCat member libraries worldwide
An introduction to linear algebra and tensors by
M. A Akivis(
Book
)
18 editions published in 1977 in English and held by 269 WorldCat member libraries worldwide
This book constitutes a lucid and completely elementary introduction to linear algebra
18 editions published in 1977 in English and held by 269 WorldCat member libraries worldwide
This book constitutes a lucid and completely elementary introduction to linear algebra
Infinite series: rudiments by
G. M Fikhtengolʹt︠s︡(
Book
)
12 editions published in 1970 in English and Undetermined and held by 259 WorldCat member libraries worldwide
12 editions published in 1970 in English and Undetermined and held by 259 WorldCat member libraries worldwide
Mathematical problems; an anthology by
E. B Dynkin(
Book
)
12 editions published between 1967 and 1969 in English and held by 238 WorldCat member libraries worldwide
12 editions published between 1967 and 1969 in English and held by 238 WorldCat member libraries worldwide
Sequences and combinatorial problems by
Richard A Silverman(
Book
)
17 editions published between 1968 and 1970 in English and held by 228 WorldCat member libraries worldwide
17 editions published between 1968 and 1970 in English and held by 228 WorldCat member libraries worldwide
A course of higher mathematics by
V. I Smirnov(
Book
)
19 editions published between 1961 and 2011 in English and held by 216 WorldCat member libraries worldwide
Professor of international relations. Topics include: childhood and education in Maine; Bowdoin and Harvard, 191625; Brown University; Commission for Belgian Relief, 192325; Lafayette University; World Peace Foundation; Columbia University
19 editions published between 1961 and 2011 in English and held by 216 WorldCat member libraries worldwide
Professor of international relations. Topics include: childhood and education in Maine; Bowdoin and Harvard, 191625; Brown University; Commission for Belgian Relief, 192325; Lafayette University; World Peace Foundation; Columbia University
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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)
 Rozanov, I︠U︡. A. (I︠U︡riĭ Anatolʹevich) 1934 Author
 Skalʹskai︠a︡, I. P.
 Ufli︠a︡nd, I︠A︡. S. (I︠A︡kov Solomonovich)
 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 Differential equations, Partial Fourier analysis Fourier series Functional analysis Functions Functions, Special Functions of complex variables Functions of real variables Geometry, Analytic Group theory Induction (Mathematics) Integral equations Integrals, Generalized Mathematical analysis Mathematical physics Mathematics Matrices Measure theory Operator theory Power, Tyrone, Probabilities Sequences (Mathematics) Series, Infinite