Silverman, Richard A.
Overview
Works:  126 works in 691 publications in 3 languages and 11,654 library holdings 

Roles:  Author, Editor, Translator, tra 
Classifications:  QA331, 515 
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
)
34 editions published between 1965 and 2005 in English and Italian and held by 1,043 WorldCat member libraries worldwide
34 editions published between 1965 and 2005 in English and Italian and held by 1,043 WorldCat member libraries worldwide
Special functions and their applications
by
N. N Lebedev(
Book
)
27 editions published between 1965 and 1972 in English and held by 936 WorldCat member libraries worldwide
Famous Russian work covers basic theory of the more important special functions and their application to specific problems of physics and engineering. Most space devoted to the application of cylinder functions and spherical harmonics. Also explores gamma function, probability integral and related functions, Airy functions, hypergeometric functions, more. Translated by Richard Silverman
27 editions published between 1965 and 1972 in English and held by 936 WorldCat member libraries worldwide
Famous Russian work covers basic theory of the more important special functions and their application to specific problems of physics and engineering. Most space devoted to the application of cylinder functions and spherical harmonics. Also explores gamma function, probability integral and related functions, Airy functions, hypergeometric functions, more. Translated by Richard Silverman
Introductory complex analysis
by
Richard A Silverman(
Book
)
28 editions published between 1967 and 2013 in 3 languages and held by 861 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
28 editions published between 1967 and 2013 in 3 languages and held by 861 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
)
27 editions published between 1966 and 1977 in English and held by 815 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
27 editions published between 1966 and 1977 in English and held by 815 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
Elementary real and complex analysis
by
G. E Shilov(
Book
)
17 editions published between 1973 and 1996 in English and Undetermined and held by 812 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
17 editions published between 1973 and 1996 in English and Undetermined and held by 812 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
Introductory probability theory
by
I︠U︡. A Rozanov(
Book
)
19 editions published between 1969 and 1977 in English and Italian and held by 725 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
19 editions published between 1969 and 1977 in English and Italian and held by 725 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
Modern calculus and analytic geometry
by
Richard A Silverman(
Book
)
13 editions published between 1034 and 2014 in English and Undetermined and held by 510 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
13 editions published between 1034 and 2014 in English and Undetermined and held by 510 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
Complex analysis with applications
by
Richard A Silverman(
Book
)
21 editions published between 1973 and 1988 in English and Undetermined and held by 499 WorldCat member libraries worldwide
21 editions published between 1973 and 1988 in English and Undetermined and held by 499 WorldCat member libraries worldwide
Elementary functional analysis
by
G. E Shilov(
Book
)
14 editions published between 1974 and 1996 in English and held by 473 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
14 editions published between 1974 and 1996 in English and held by 473 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
Problems of mathematical physics
by
N. N Lebedev(
Book
)
12 editions published in 1965 in English and held by 423 WorldCat member libraries worldwide
12 editions published in 1965 in English and held by 423 WorldCat member libraries worldwide
Essential calculus with applications
by
Richard A Silverman(
Book
)
8 editions published between 1977 and 2013 in English and held by 373 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
8 editions published between 1977 and 2013 in English and held by 373 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
Worked problems in applied mathematics
by
N. N Lebedev(
Book
)
10 editions published between 1979 and 1985 in English and Undetermined and held by 352 WorldCat member libraries worldwide
10 editions published between 1979 and 1985 in English and Undetermined and held by 352 WorldCat member libraries worldwide
Calculus of variations
by
I. M Gelʹfand(
Book
)
35 editions published between 1963 and 2000 in English and Italian and held by 325 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
35 editions published between 1963 and 2000 in English and Italian and held by 325 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
Functional series
by
Richard A Silverman(
Book
)
6 editions published in 1970 in English and held by 281 WorldCat member libraries worldwide
6 editions published in 1970 in English and held by 281 WorldCat member libraries worldwide
Infinite series: rudiments
by
G. M Fikhtengolʹt︠s︡(
Book
)
13 editions published between 1970 and 1971 in English and Undetermined and held by 263 WorldCat member libraries worldwide
13 editions published between 1970 and 1971 in English and Undetermined and held by 263 WorldCat member libraries worldwide
An introduction to linear algebra and tensors
by
M. A Akivis(
Book
)
11 editions published between 1972 and 1977 in English and held by 263 WorldCat member libraries worldwide
This book constitutes a lucid and completely elementary introduction to linear algebra
11 editions published between 1972 and 1977 in English and held by 263 WorldCat member libraries worldwide
This book constitutes a lucid and completely elementary introduction to linear algebra
Mathematical problems; an anthology
by
E. B Dynkin(
Book
)
10 editions published between 1967 and 1969 in English and held by 246 WorldCat member libraries worldwide
10 editions published between 1967 and 1969 in English and held by 246 WorldCat member libraries worldwide
Sequences and combinatorial problems
by
Richard A Silverman(
Book
)
15 editions published between 1968 and 1970 in English and German and held by 230 WorldCat member libraries worldwide
15 editions published between 1968 and 1970 in English and German and held by 230 WorldCat member libraries worldwide
Linear algebra and group theory
by
V. I Smirnov(
Book
)
15 editions published between 1961 and 2013 in English and held by 210 WorldCat member libraries worldwide
Derived from an encyclopedic sixvolume survey, this accessible text by a prominent Soviet mathematician offers a concrete approach to linear algebra and group theory that emphasizes applications. Containing material not otherwise available to Englishlanguage readers, it forms a highly suitable text for undergraduate students of mathematics as well as a reference for mathematicians, theoretical physicists, and engineers.The threepart approach begins with an exposition of the properties of determinants and systems of equations, including correlative material on applications. The second part p
15 editions published between 1961 and 2013 in English and held by 210 WorldCat member libraries worldwide
Derived from an encyclopedic sixvolume survey, this accessible text by a prominent Soviet mathematician offers a concrete approach to linear algebra and group theory that emphasizes applications. Containing material not otherwise available to Englishlanguage readers, it forms a highly suitable text for undergraduate students of mathematics as well as a reference for mathematicians, theoretical physicists, and engineers.The threepart approach begins with an exposition of the properties of determinants and systems of equations, including correlative material on applications. The second part p
Learn limits through problems!
by
Richard A Silverman(
Book
)
15 editions published between 1968 and 1969 in English and held by 201 WorldCat member libraries worldwide
15 editions published between 1968 and 1969 in English and held by 201 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
 Gelʹfand, S. I. (Sergeĭ Izrailevich) Author
Associated Subjects
Algebras, Linear Analytic functions Calculus Calculus, Integral Calculus of tensors Calculus of variations Combinations Combinatorial analysis Functional analysis Functions Functions, Special Functions of complex variables Functions of real variables Geometry, Analytic Group theory Induction (Mathematics) Integrals Integrals, Generalized Mathematical analysis Mathematical physics Mathematics Matrices Measure theory Power, Tyrone, Probabilities Sequences (Mathematics) Series, Infinite