Background
Goldberg, Samuel Irving was born on August 15, 1923 in Toronto. Son of Jacob L. and Rachel (Berkovitz) Goldberg.
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book
Curvature and Homology: Revised Edition
( This systematic and self-contained treatment examines t...)
This systematic and self-contained treatment examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, complex manifolds, and curvature and homology of Kaehler manifolds. It generalizes the theory of Riemann surfaces to that of Riemannian manifolds. Includes four helpful appendixes. "A valuable survey." — Nature. 1962 edition.
http://www.amazon.com/gp/product/048640207X/?tag=2022091-20
Tensor Analysis on Manifolds (Dover Books on Mathematics)
( "This is a first-rate book and deserves to be widely re...)
"This is a first-rate book and deserves to be widely read." — American Mathematical Monthly Despite its success as a mathematical tool in the general theory of relativity and its adaptability to a wide range of mathematical and physical problems, tensor analysis has always had a rather restricted level of use, with an emphasis on notation and the manipulation of indices. This book is an attempt to broaden this point of view at the stage where the student first encounters the subject. The authors have treated tensor analysis as a continuation of advanced calculus, striking just the right balance between the formal and abstract approaches to the subject. The material proceeds from the general to the special. An introductory chapter establishes notation and explains various topics in set theory and topology. Chapters 1 and 2 develop tensor analysis in its function-theoretical and algebraic aspects, respectively. The next two chapters take up vector analysis on manifolds and integration theory. In the last two chapters (5 and 6) several important special structures are studied, those in Chapter 6 illustrating how the previous material can be adapted to clarify the ideas of classical mechanics. The text as a whole offers numerous examples and problems. A student with a background of advanced calculus and elementary differential equation could readily undertake the study of this book. The more mature the reader is in terms of other mathematical knowledge and experience, the more he will learn from this presentation.
http://www.amazon.com/gp/product/0486640396/?tag=2022091-20
Tensor Analysis on Manifolds (Dover Books on Mathematics) by Richard L. Bishop (1980-12-01)
http://www.amazon.com/gp/product/B01JXPYG98/?tag=2022091-20
Samuel Irving Goldberg
Edit ProfileEducation
Student, Cambridge (England) University, 1945-1946; Bachelor, U. Toronto, 1948; Master of Arts, U. Toronto, 1949; Doctor of Philosophy, U. Toronto, 1951.
Career
Science officer, Defense Research Board, Valcartier, Quebec, Canada, 1951-1952;
assistant professor math, Lehigh University, Bethlehem, Pennsylvania, 1952-1955;
associate professor, Wayne State University, Detroit, 1955-1961;
Harvard research fellow, 1959-1960;
associate professor, University of Illinois, Urbana, 1960-1965;
professor, University of Illinois, since 1965. Visiting professor U. Toronto, 1968, Israel Institute Technology, 1972, Cambridge U., 1979, College de France, 1979, U. West Indies, Kingston, Jamaica, 1991-1993. Science Research Council visiting foreign scientist U. Liverpool, England, 1973.
Lady Davis fellow Technion, Israel, 1979. Queen's Quest professor Queen's U., Canada, 1980-1981. Appointed member Center Advanced Study University of Illinois, 1984-1985.
Achievements
Works
book
-
Curvature and Homology: Revised Edition
( This systematic and self-contained treatment examines t...)
-
Tensor Analysis on Manifolds (Dover Books on Mathematics)
( "This is a first-rate book and deserves to be widely re...)
- Tensor Analysis on Manifolds (Dover Books on Mathematics) by Richard L. Bishop (1980-12-01)
-
Curvature and Homology: Revised Edition
Membership
Served with Canada Army, 1943-1946. Member American Mathematics Society.
Connections
Married Sheila Richmond, November 11, 1951. Children: Julia Anna, Barry Howard, Jay Michael.
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Born
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Nationality
Canadian