Background
Goldberg, Samuel was born on March 14, 1925 in New York City. Son of Gedalia and Fannie (Lieberman) Goldberg.
http://www.amazon.com/gp/product/B001K6UZEO/?tag=2022091-20
(Birkhauser Boston, Inc., will publish a series of careful...)
Birkhauser Boston, Inc., will publish a series of carefully selected mono graphs in the area of mathematical modeling to present serious applications of mathematics for both the undergraduate and the professional audience. Some of the monographs to be selected and published will appeal more to the professional mathematician and user of mathematics, serving to familiarize the user with new models and new methods. Some, like the present monograph, will stress the educational aspect and will appeal more to a student audience, either as a textbook or as additional reading. We feel that this first volume in the series may in itself serve as a model for our program. Samuel Goldberg attaches a high priority to teaching stu dents the art of modeling, that is, to use his words, the art of constructing useful mathematical models of real-world phenomena. We concur. It is our strong conviction as editors that the connection between the actual problems and their mathematical models must be factually plausible, if not actually real. As this first volume in the new series goes to press, we invite its readers to share with us both their criticisms and their constructive suggestions.
http://www.amazon.com/gp/product/1461256186/?tag=2022091-20
(Book by Goldberg, S.)
Book by Goldberg, S.
http://www.amazon.com/gp/product/3764330899/?tag=2022091-20
( Exceptionally clear exposition of an important mathemat...)
Exceptionally clear exposition of an important mathematical discipline and its applications to sociology, economics, and psychology. Logical, easy-to-follow coverage of calculus of finite differences, difference equations, linear difference equations with constant coefficients, generating functions, matrix methods, and more. Ideal for undergraduate course or self-study. Many worked examples; over 250 problems. 1958 edition.
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http://www.amazon.com/gp/product/B011T7OEPY/?tag=2022091-20
( Excellent basic text covers set theory, probability the...)
Excellent basic text covers set theory, probability theory for finite sample spaces, binomial theorem, probability distributions, means, standard deviations, probability function of binomial distribution, and other key concepts and methods essential to a thorough understanding of probability. Designed for use by math or statistics departments offering a first course in probability. 360 illustrative problems with answers for half. Only high school algebra needed. Chapter bibliographies.
http://www.amazon.com/gp/product/0486652521/?tag=2022091-20
( "The highest standards of logical clarity are maintaine...)
"The highest standards of logical clarity are maintained." — Bulletin of The American Mathematical Society Written with exceptional lucidity and care, this concise text offers a rigorous introduction to finite differences and difference equations-mathematical tools with widespread applications in the social sciences, economics, and psychology. The exposition is at an elementary level with little required in the way of mathematical background beyond some facility with standard algebraic techniques and the essentials of trigonometry. Moreover, the author explains when needed such relevant ideas as the function concept, mathematical induction, binomial formula, de Moivre's Theorem and more. The book begins with a short introductory chapter showing how difference equations arise in the context of social science problems. Chapter One then develops essential parts of the calculus of finite differences. Chapter Two introduces difference equations and some useful applications in the social sciences: compound interest and amortization of debts, the classical Harrod-Domar-Hicks model for growth of national income, Metzler's pure inventory cycle, and others. Chapter Three treats linear differential equations with constant coefficients, including the important question of limiting behavior of solutions, which is discussed and applied to a variety of social science examples. Finally, Chapter Four offers concise coverage of equilibrium values and stability of difference equations, first-order equations and cobweb cycles, and a boundary-value problem. More extensive coverage is devoted to the relatively advanced concepts of generating functions and matrix methods for the solution of systems of simultaneous equations. Throughout, numerous worked examples and over 250 problems, many with answers, enable students to test their grasp of definitions, theorems and applications. Ideal for an undergraduate course or self-study, this cogent treatment will be of interest to all mathematicians, and especially to social scientists, who will find it an excellent introduction to a powerful tool of theory and research.
http://www.amazon.com/gp/product/0486650847/?tag=2022091-20
Foundation administrator mathematician
Goldberg, Samuel was born on March 14, 1925 in New York City. Son of Gedalia and Fannie (Lieberman) Goldberg.
Bachelor of Science, City College of New York, 1944; Doctor of Philosophy, Cornell Univercity, 1950.
Instructor, then assistant professor mathematics, Lehigh University, Bethlehem, Pennsylvania, 1950-1953;
member of faculty, Oberlin (Ohio) College, since 1953;
professor mathematics, Oberlin (Ohio) College, 1961-1985;
emeritus professor, Oberlin (Ohio) College, since 1985;
program officer, Alfred P. Sloan Foundation, New York City, 1985-1990;
consultant, Alfred P. Sloan Foundation, New York City, 1990-1993. Visiting associate professor Harvard University Graduate School Business Administration, 1959-1960. Visiting professor U. W.Australia, 1976.
Member committee mathematics in social science Social Science Research Council, 1979. Participant African Mathematics Project, Mombasa, Kenya, 1965, 68.
( Excellent basic text covers set theory, probability the...)
( Exceptionally clear exposition of an important mathemat...)
( "The highest standards of logical clarity are maintaine...)
(Birkhauser Boston, Inc., will publish a series of careful...)
(Book by Goldberg, S.)
Board directors Allen Memorial Hospital, Oberlin, 1980-1985, 92-2000. Served with Army of the United States, 1944-1946. Member Mathematics Association American, American Mathematics Society, Phi Beta Kappa, Sigma Xi.
Married Marcia Chinitz, June 21, 1953. 1 son, David.
