Silverman, Richard A.
Overview
Works:  132 works in 892 publications in 2 languages and 12,738 library holdings 

Genres:  Textbooks 
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 1,095 WorldCat member libraries worldwide
49 editions published between 1965 and 2011 in English and Italian and held by 1,095 WorldCat member libraries worldwide
Special functions and their applications by
N. N Lebedev(
Book
)
35 editions published between 1965 and 1973 in English and held by 867 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
35 editions published between 1965 and 1973 in English and held by 867 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(
Book
)
37 editions published between 1967 and 2013 in 3 languages and held by 792 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 792 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
)
36 editions published between 1966 and 1990 in English and held by 734 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 734 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 673 WorldCat member libraries worldwide
This book, a concise introduction to modern probability theory and certain of its ramifications, deals with a subject indispensable to natural scientists and mathematicians alike. Here the readers, with some knowledge of mathematics, will find an excellent treatment of the elements of probability together with numerous applications. Professor Y.A. Rozanov, an internationally known mathematician whose work in probability theory and stochastic processes has received wide acclaim, combines succinctness of style with a judicious selection of topics. His book is highly readable, fastmoving, and selfcontained. The author begins with basic concepts and moves on to combination of events, dependent events and random variables. He then covers Bernoulli trials and the De MoivreLaplace theorem, which involve three important probability distributions (binomial, Poisson, and normal or Gaussian). The last three chapters are devoted to limit theorems, a detailed treatment of Markov chains, continuous Markov processes. Also included are appendixes on information theory, game theory, branching processes, and problems of optimal control. Each of the eight chapters and four appendixes has been equipped with numerous relevant problems (150 of them), many with hints and answers. This volume is another in the popular series of fine translations from the Russian by Richard A. Silverman. Dr. Silverman, a former member of the Courant Institute of Mathematical Sciences of New York University and the Lincoln Laboratory of the Massachusetts Institute of Technology, is himself the author of numerous papers on applied probability theory. He has heavily revised the English edition and added new material. The clear exposition, the ample illustrations and problems, the crossreferences, index, and bibliography make this book useful for selfstudy or the classroom
28 editions published between 1969 and 1977 in English and Italian and held by 673 WorldCat member libraries worldwide
This book, a concise introduction to modern probability theory and certain of its ramifications, deals with a subject indispensable to natural scientists and mathematicians alike. Here the readers, with some knowledge of mathematics, will find an excellent treatment of the elements of probability together with numerous applications. Professor Y.A. Rozanov, an internationally known mathematician whose work in probability theory and stochastic processes has received wide acclaim, combines succinctness of style with a judicious selection of topics. His book is highly readable, fastmoving, and selfcontained. The author begins with basic concepts and moves on to combination of events, dependent events and random variables. He then covers Bernoulli trials and the De MoivreLaplace theorem, which involve three important probability distributions (binomial, Poisson, and normal or Gaussian). The last three chapters are devoted to limit theorems, a detailed treatment of Markov chains, continuous Markov processes. Also included are appendixes on information theory, game theory, branching processes, and problems of optimal control. Each of the eight chapters and four appendixes has been equipped with numerous relevant problems (150 of them), many with hints and answers. This volume is another in the popular series of fine translations from the Russian by Richard A. Silverman. Dr. Silverman, a former member of the Courant Institute of Mathematical Sciences of New York University and the Lincoln Laboratory of the Massachusetts Institute of Technology, is himself the author of numerous papers on applied probability theory. He has heavily revised the English edition and added new material. The clear exposition, the ample illustrations and problems, the crossreferences, index, and bibliography make this book useful for selfstudy or the classroom
Complex analysis with applications by
Richard A Silverman(
Book
)
29 editions published between 1973 and 1988 in English and held by 574 WorldCat member libraries worldwide
29 editions published between 1973 and 1988 in English and held by 574 WorldCat member libraries worldwide
Elementary real and complex analysis by
G. E Shilov(
Book
)
24 editions published between 1973 and 1996 in English and held by 507 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
24 editions published between 1973 and 1996 in English and held by 507 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
)
17 editions published between 1034 and 2014 in English and Undetermined and held by 425 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 425 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
)
15 editions published in 1965 in English and held by 409 WorldCat member libraries worldwide
15 editions published in 1965 in English and held by 409 WorldCat member libraries worldwide
Elementary functional analysis by
G. E Shilov(
Book
)
17 editions published between 1974 and 1996 in English and held by 398 WorldCat member libraries worldwide
In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis
17 editions published between 1974 and 1996 in English and held by 398 WorldCat member libraries worldwide
In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis
Fourier series by
G. P Tolstov(
Book
)
18 editions published between 1962 and 2017 in 3 languages and held by 373 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 373 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 350 WorldCat member libraries worldwide
13 editions published between 1979 and 1985 in English and Undetermined and held by 350 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 307 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 307 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
Calculus of variations by
I. M Gelʹfand(
Book
)
41 editions published between 1963 and 2000 in English and Italian and held by 291 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 291 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
)
10 editions published in 1970 in English and held by 289 WorldCat member libraries worldwide
10 editions published in 1970 in English and held by 289 WorldCat member libraries worldwide
An introduction to linear algebra and tensors by
M. A Akivis(
Book
)
16 editions published in 1977 in English and held by 267 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 267 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 262 WorldCat member libraries worldwide
12 editions published in 1970 in English and Undetermined and held by 262 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 234 WorldCat member libraries worldwide
12 editions published between 1967 and 1969 in English and held by 234 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 228 WorldCat member libraries worldwide
18 editions published between 1968 and 1970 in English and held by 228 WorldCat member libraries worldwide
Linear algebra and group theory by
V. I Smirnov(
Book
)
19 editions published between 1961 and 2011 in English and held by 220 WorldCat member libraries worldwide
"Derived from an encyclopedic sixvolume survey, this accessible text by a prominent Soviet mathematician offers a concrete approach, with an emphasis on applications. Containing material not otherwise available to Englishlanguage readers, the threepart treatment covers determinants and systems of equations, matrix theory, and group theory. Problem sets, with hints and answers, conclude each chapter. 1961 edition"Provided by publisher
19 editions published between 1961 and 2011 in English and held by 220 WorldCat member libraries worldwide
"Derived from an encyclopedic sixvolume survey, this accessible text by a prominent Soviet mathematician offers a concrete approach, with an emphasis on applications. Containing material not otherwise available to Englishlanguage readers, the threepart treatment covers determinants and systems of equations, matrix theory, and group theory. Problem sets, with hints and answers, conclude each chapter. 1961 edition"Provided by publisher
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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 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 Limit theorems (Probability theory) Mathematical analysis Mathematical physics Mathematics Matrices Measure theory Operator theory Power, Tyrone, Probabilities Sequences (Mathematics) Series, Infinite Stochastic processes