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'''Problem books''' are textbooks, usually at advanced undergraduate or post-graduate level, in which the material is organized as a series of problems, each with a complete solution given. Problem books are distinct from workbooks in that the problems are designed as a primary means of teaching, not merely for practice on material learned elsewhere. Problem books are found most often in the mathematical and physical sciences; they have a strong tradition within the Russian educational system.<ref name=cahn> Sidney B. Cahn and Boris E. Nadgorny (1994) ''A Guide to Physics Problems'', Plenum, vol. 2, p. vii (Preface).</ref> | '''Problem books''' are textbooks, usually at advanced undergraduate or post-graduate level, in which the material is organized as a series of problems, each with a complete solution given. Problem books are distinct from workbooks in that the problems are designed as a primary means of teaching, not merely for practice on material learned elsewhere. Problem books are found most often in the mathematical and physical sciences; they have a strong tradition within the Russian educational system.<ref name=cahn> Sidney B. Cahn and Boris E. Nadgorny (1994) ''A Guide to Physics Problems'', Plenum, vol. 2, p. vii (Preface).</ref> | ||
At some American universities, problem books are associated with departmental preliminary or candidacy examinations for the Ph.D. degree. Such books may exemplify decades of actual examinations and, when published, are studied by graduate students at other institutions.<ref name=cahn/> Other problem books are specific to graduate fields of study. While certain problem books are collected, written, or edited by worthy but little-known toilers, others are done by renowned scholars and researchers. | At some American universities, problem books are associated with departmental preliminary or candidacy examinations for the Ph.D. degree. Such books may exemplify decades of actual examinations and, when published, are studied by graduate students at other institutions.<ref name=cahn/> Other problem books are specific to graduate fields of study. While certain problem books are collected, written, or edited by worthy but little-known toilers, others are done by renowned scholars and researchers. | ||
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==Notable problem books in mathematics== | ==Notable problem books in mathematics== | ||
* [[Biography:George Pólya|George Pólya]] and [[Biography:Gábor Szegő|Gábor Szegő]] (1925) ''Problems and Theorems in Analysis'' ({{langx|de|Aufgaben und Lehrsätze aus der Analysis|links=no}}) | |||
* [[Biography:Paul Halmos|Paul Halmos]] (1982) ''A Hilbert Space Problem Book'' ({{ISBN|978-0387906850}}) | * [[Biography:Paul Halmos|Paul Halmos]] (1982) ''A Hilbert Space Problem Book'' ({{ISBN|978-0387906850}}) | ||
* [[Biography:Frederick Mosteller|Frederick Mosteller]] (1965,1987) ''Fifty Challenging Problems in Probability with Solutions'' ({{ISBN|978-0486653556}}) | * [[Biography:Frederick Mosteller|Frederick Mosteller]] (1965,1987) ''Fifty Challenging Problems in Probability with Solutions'' ({{ISBN|978-0486653556}}) | ||
* Arthur Engel (1997) ''Problem-Solving Strategies'' ({{ISBN|978-0387982199}})<ref>{{cite web|title=Illustrated solutions to select problems from "Problem-Solving Strategies"|url= | * Arthur Engel (1997) ''Problem-Solving Strategies'' ({{ISBN|978-0387982199}})<ref>{{cite web|title=Illustrated solutions to select problems from "Problem-Solving Strategies"|url=https://science-is-amazing.blogspot.com/}}</ref> | ||
==Notable problem books in physics== | ==Notable problem books in physics== | ||
* V. V. Batygin and I. N. Toptygin (1964,1978) ''Problems in Electrodynamics'' (ASIN B003X6BPSE) | * V. V. Batygin and I. N. Toptygin (1964,1978) ''Problems in Electrodynamics'' (ASIN B003X6BPSE) | ||
* [[Biography:Igor Irodov|I. E. Irodov]] (1981) ''Problems in General Physics ''({{ISBN| 5-03-000800-4}}) | * [[Biography:Igor Irodov|I. E. Irodov]] (1981) ''[[Physics:Problems in General Physics|Problems in General Physics]]'' ({{ISBN| 5-03-000800-4}}) | ||
* Kyriakos Tamvakis (2005) ''Problems and Solutions in Quantum Mechanics'' ({{ISBN|978-0521600576}}) | * Kyriakos Tamvakis (2005) ''Problems and Solutions in Quantum Mechanics'' ({{ISBN|978-0521600576}}) | ||
* [[Biography:Alan Lightman|A.P. Lightman]], [[Biography:William H. Press|W.H. Press]], [[Biography:Richard H. Price|R.H. Price]], and [[Biography:Saul Teukolsky|S.A. Teukolsky]] (1979) ''Problem Book in Relativity and Gravitation'' ({{ISBN|978-0691081625}}) | * [[Biography:Alan Lightman|A.P. Lightman]], [[Biography:William H. Press|W.H. Press]], [[Biography:Richard H. Price|R.H. Price]], and [[Biography:Saul Teukolsky|S.A. Teukolsky]] (1979) ''Problem Book in Relativity and Gravitation'' ({{ISBN|978-0691081625}}) | ||
Latest revision as of 17:43, 23 May 2026
Problem books are textbooks, usually at advanced undergraduate or post-graduate level, in which the material is organized as a series of problems, each with a complete solution given. Problem books are distinct from workbooks in that the problems are designed as a primary means of teaching, not merely for practice on material learned elsewhere. Problem books are found most often in the mathematical and physical sciences; they have a strong tradition within the Russian educational system.[1]
At some American universities, problem books are associated with departmental preliminary or candidacy examinations for the Ph.D. degree. Such books may exemplify decades of actual examinations and, when published, are studied by graduate students at other institutions.[1] Other problem books are specific to graduate fields of study. While certain problem books are collected, written, or edited by worthy but little-known toilers, others are done by renowned scholars and researchers.
The casebook for law and other non-technical fields can provide a similar function.
Notable problem books in mathematics
- George Pólya and Gábor Szegő (1925) Problems and Theorems in Analysis (German: Aufgaben und Lehrsätze aus der Analysis)
- Paul Halmos (1982) A Hilbert Space Problem Book (ISBN 978-0387906850)
- Frederick Mosteller (1965,1987) Fifty Challenging Problems in Probability with Solutions (ISBN 978-0486653556)
- Arthur Engel (1997) Problem-Solving Strategies (ISBN 978-0387982199)[2]
Notable problem books in physics
- V. V. Batygin and I. N. Toptygin (1964,1978) Problems in Electrodynamics (ASIN B003X6BPSE)
- I. E. Irodov (1981) Problems in General Physics (ISBN 5-03-000800-4)
- Kyriakos Tamvakis (2005) Problems and Solutions in Quantum Mechanics (ISBN 978-0521600576)
- A.P. Lightman, W.H. Press, R.H. Price, and S.A. Teukolsky (1979) Problem Book in Relativity and Gravitation (ISBN 978-0691081625)
- W-H. Steeb (2006) Problems And Solutions in Quantum Computing And Quantum Information (ISBN 978-9812567406)
Notable problem books in physics based on candidacy examinations
- J.A. Cronin, D.F. Greenberg, and V.L. Telegdi (1967,1979) University of Chicago Graduate Problems in Physics with Solutions (ISBN 978-0226121093)
- Nathan Newbury, John Ruhl, Suzanne Staggs, Stephen Thorsett, and Michael Newman. (1991) Princeton Problems in Physics with Solutions (ISBN 978-0691024493)
References
- ↑ 1.0 1.1 Sidney B. Cahn and Boris E. Nadgorny (1994) A Guide to Physics Problems, Plenum, vol. 2, p. vii (Preface).
- ↑ "Illustrated solutions to select problems from "Problem-Solving Strategies"". https://science-is-amazing.blogspot.com/.
External links
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