Gould, Sydney H. (Sydney Henry) 1909
Overview
Works:  47 works in 270 publications in 5 languages and 2,889 library holdings 

Genres:  History Dictionaries Biography Conference papers and proceedings Terminology Criticism, interpretation, etc Glossaries, vocabularies, etc 
Roles:  Author, Editor, Translator, Other, Inscriber, Contributor 
Publication Timeline
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Most widely held works by
Sydney H Gould
Russian for the mathematician by
Sydney H Gould(
Book
)
21 editions published between 1972 and 1982 in 3 languages and held by 565 WorldCat member libraries worldwide
21 editions published between 1972 and 1982 in 3 languages and held by 565 WorldCat member libraries worldwide
Sciences in Communist China; a symposium presented at the New York meeting of the American Association for the Advancement
of Science, December 2627, 1960 by
American Association for the Advancement of Science(
Book
)
24 editions published between 1961 and 1975 in English and held by 491 WorldCat member libraries worldwide
24 editions published between 1961 and 1975 in English and held by 491 WorldCat member libraries worldwide
Variational methods for eigenvalue problems; an introduction to the Weinstein method of intermediate problems by
Sydney H Gould(
Book
)
38 editions published between 1966 and 1995 in English and Undetermined and held by 410 WorldCat member libraries worldwide
38 editions published between 1966 and 1995 in English and Undetermined and held by 410 WorldCat member libraries worldwide
Variational methods for eigenvalue problems; an introduction to the methods of Rayleigh, Ritz, Weinstein, and Aronszajn by
Sydney H Gould(
Book
)
25 editions published between 1957 and 2012 in English and held by 358 WorldCat member libraries worldwide
The importance of eigenvalue theory in pure and applied mathematics, and in physics and chemistry, makes it incumbent on students to understand the various methods of approximate calculation of eigenvalues. It is especially important to develop such methods in a general and theoretical manner, if only to avoid missing opportunities for particular applications. This book does just that, approaching the topic from a purely mathematical standpoint. Because variational methods are particularly well adapted to successive approximation, this book gives a simple exposition of such methods, not only of the familiar RayleighRitz method, but especially of the related methods  the Weinstein method, WeinsteinAronszajn method, and others. To make the book accessible to a broad range of students, little mathematical knowledge is presupposed beyond the elements of calculus. Where specialized knowledge is required  as it is in the discussion of direct methods in the calculus of variations and the theory of completely continuous operators in Hilbert space  the requisite material is developed in full. The first nine chapters, written in elementary style, discuss the general theory of variational methods with special reference to the vibrating plate. In the last chapter, the information gained thereby is extended, in a less elementary way, to more general cases. Exercises are provided throughout to illuminate the ideas and methods developed in the text
25 editions published between 1957 and 2012 in English and held by 358 WorldCat member libraries worldwide
The importance of eigenvalue theory in pure and applied mathematics, and in physics and chemistry, makes it incumbent on students to understand the various methods of approximate calculation of eigenvalues. It is especially important to develop such methods in a general and theoretical manner, if only to avoid missing opportunities for particular applications. This book does just that, approaching the topic from a purely mathematical standpoint. Because variational methods are particularly well adapted to successive approximation, this book gives a simple exposition of such methods, not only of the familiar RayleighRitz method, but especially of the related methods  the Weinstein method, WeinsteinAronszajn method, and others. To make the book accessible to a broad range of students, little mathematical knowledge is presupposed beyond the elements of calculus. Where specialized knowledge is required  as it is in the discussion of direct methods in the calculus of variations and the theory of completely continuous operators in Hilbert space  the requisite material is developed in full. The first nine chapters, written in elementary style, discuss the general theory of variational methods with special reference to the vibrating plate. In the last chapter, the information gained thereby is extended, in a less elementary way, to more general cases. Exercises are provided throughout to illuminate the ideas and methods developed in the text
A manual for translators of mathematical Russian by
Sydney H Gould(
Book
)
17 editions published between 1966 and 1991 in English and Undetermined and held by 241 WorldCat member libraries worldwide
17 editions published between 1966 and 1991 in English and Undetermined and held by 241 WorldCat member libraries worldwide
RomanianEnglish dictionary and grammar for the mathematical sciences by
Sydney H Gould(
Book
)
15 editions published between 1967 and 1978 in 3 languages and held by 143 WorldCat member libraries worldwide
15 editions published between 1967 and 1978 in 3 languages and held by 143 WorldCat member libraries worldwide
A new system for the formal analysis of kinship by
Sydney H Gould(
Book
)
4 editions published in 2000 in English and held by 138 WorldCat member libraries worldwide
4 editions published in 2000 in English and held by 138 WorldCat member libraries worldwide
A report on ChineseEnglish mathematical dictionaries by
Sydney H Gould(
Book
)
7 editions published between 1964 and 1969 in English and held by 70 WorldCat member libraries worldwide
7 editions published between 1964 and 1969 in English and held by 70 WorldCat member libraries worldwide
Fundamentals of mathematics by
Heinrich Behnke(
Book
)
14 editions published between 1974 and 1986 in English and held by 29 WorldCat member libraries worldwide
14 editions published between 1974 and 1986 in English and held by 29 WorldCat member libraries worldwide
Mathematics, its content, methods, and meaning by
Matematicheskiĭ institut im. V.A. Steklova(
Book
)
12 editions published between 1963 and 1999 in English and held by 28 WorldCat member libraries worldwide
This major survey features the work of 18 outstanding mathematicians. Primary subjects include analytic geometry, algebra, ordinary and partial differential equations, the calculus of variations, functions of a complex variable, prime numbers, and theories of probability and functions. Other topics include linear and nonEuclidean geometry, topology, functional analysis, more
12 editions published between 1963 and 1999 in English and held by 28 WorldCat member libraries worldwide
This major survey features the work of 18 outstanding mathematicians. Primary subjects include analytic geometry, algebra, ordinary and partial differential equations, the calculus of variations, functions of a complex variable, prime numbers, and theories of probability and functions. Other topics include linear and nonEuclidean geometry, topology, functional analysis, more
The book on games of chance (Liber de ludo aleae) by
Girolamo Cardano(
Book
)
7 editions published between 1961 and 2016 in English and held by 26 WorldCat member libraries worldwide
7 editions published between 1961 and 2016 in English and held by 26 WorldCat member libraries worldwide
Cardano, the gambling scholar by
Øystein Ore(
Book
)
10 editions published between 1953 and 1965 in English and held by 25 WorldCat member libraries worldwide
10 editions published between 1953 and 1965 in English and held by 25 WorldCat member libraries worldwide
RussianEnglish dictionary of the mathematical sciences by
A. J Lohwater(
Book
)
16 editions published between 1961 and 1979 in 3 languages and held by 22 WorldCat member libraries worldwide
16 editions published between 1961 and 1979 in 3 languages and held by 22 WorldCat member libraries worldwide
Variacionnye metody v zadachakh o sobstvehhykh by
Sydney H Gould(
Book
)
11 editions published between 1966 and 1970 in Russian and English and held by 17 WorldCat member libraries worldwide
The first edition of this book gave a systematic exposition of the Weinstein method of calculating lower bounds of eigenvalues by means of intermediate problems. This second edition presents new developments in the framework of the material contained in the first edition, which is retained in somewhat modified form
11 editions published between 1966 and 1970 in Russian and English and held by 17 WorldCat member libraries worldwide
The first edition of this book gave a systematic exposition of the Weinstein method of calculating lower bounds of eigenvalues by means of intermediate problems. This second edition presents new developments in the framework of the material contained in the first edition, which is retained in somewhat modified form
Theory of limit cycles by
Yanqian Ye(
Book
)
1 edition published in 1986 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 16 WorldCat member libraries worldwide
Mathematics : its contents, methods and meaning by
Sydney H Gould(
Book
)
6 editions published between 1969 and 1986 in English and held by 14 WorldCat member libraries worldwide
6 editions published between 1969 and 1986 in English and held by 14 WorldCat member libraries worldwide
Mathematics : its contents, methods and meaning by
Sydney H Gould(
Book
)
5 editions published between 1969 and 1986 in English and held by 14 WorldCat member libraries worldwide
5 editions published between 1969 and 1986 in English and held by 14 WorldCat member libraries worldwide
Variacionnye metody v zadačach o sobstvennych značenijach : vvedenie v metod promežutoňych zadač vajnštejna by
Sydney H Gould(
Book
)
3 editions published in 1970 in Russian and held by 10 WorldCat member libraries worldwide
3 editions published in 1970 in Russian and held by 10 WorldCat member libraries worldwide
Cardano : the gambling scholar : with a translation from the Latin of Cardano's book on games of chance by
Øystein Ore(
Book
)
1 edition published in 1965 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 9 WorldCat member libraries worldwide
Book on Games of Chance by
Sydney H Gould(
)
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
Mathematics was only one area of interest for Gerolamo Cardano {u2015} the sixteenthcentury astrologer, philosopher, and physician was also a prolific author and inveterate gambler. Gambling led Cardano to the study of probability, and he was the first writer to recognize that random events are governed by mathematical laws. Published posthumously in 1663, Cardano's Liber de ludo aleae (Book on Games of Chance) is often considered the major starting point of the study of mathematical probability. The Italian scholar formulated some of the field's basic ideas more than a century before the betterknown correspondence of Pascal and Fermat. Although his book had no direct influence on other early thinkers about probability, it remains an important antecedent to later expressions of the science's tenets
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
Mathematics was only one area of interest for Gerolamo Cardano {u2015} the sixteenthcentury astrologer, philosopher, and physician was also a prolific author and inveterate gambler. Gambling led Cardano to the study of probability, and he was the first writer to recognize that random events are governed by mathematical laws. Published posthumously in 1663, Cardano's Liber de ludo aleae (Book on Games of Chance) is often considered the major starting point of the study of mathematical probability. The Italian scholar formulated some of the field's basic ideas more than a century before the betterknown correspondence of Pascal and Fermat. Although his book had no direct influence on other early thinkers about probability, it remains an important antecedent to later expressions of the science's tenets
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Related Identities
 American Association for the Advancement of Science
 Obreanu, Phillip E.
 Kronenfeld, David B. 1941
 Aleksandrov, A. D. Author Editor
 Cardano, Girolamo 15011576 Author
 Boas, Ralph P. (Ralph Philip) 19121992 Editor
 Kolmogorov, A. N. Editor
 Lavrentiev, Mikhail Alekseevitch (19001980) Editor
 Behnke, Heinrich Author Editor
 Ore, Øystein 18991968 Author Editor
Associated Subjects
Calculus of variations Cardano, Girolamo, China Chinese language Curves Dice games Differential equations Eigenvalues Encyclopedias and dictionaries English languageTranslating into Russian Gamblers Gambling Games of chance (Mathematics) Italy Kinship Limit cycles Mathematics MathematicsLexicography MathematicsTranslating Probabilities Romanian language Romanian languageGrammar Russian language Russian languageBusiness Russian Russian languageGrammar Russian languageStudy and teachingForeign speakers Russian languageTechnical Russian Russian languageTranslating Russian languageTranslating into English Science Scientists Vibration
Alternative Names
Gould, S. H.
Gould, S. H. 1909
Gould, S. H. 19091986
Gould, S. H. (Sidney Henry), 1909
Gould, S. H. (Sydney Henry), 1909
Gould, S. H. (Sydney Henry), 19091986
Gould, Sidney H. 1909
Gould, Sidney H. 19091986
Gould, Sydney H.
Gould, Sydney Henry
Gould, Sydney Henry 1909
Gould, Sydney Henry 19091986
Guld, S.
Guld, S. 1909
Гулд, С 1909
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