Problem book
Encyclopedia
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 workbook
Workbook
Workbook is the title of Bob Mould's first solo album after leaving Hüsker Dü. The album is primarily acoustic and has a strong folk influence - very different from much of his group's heavier music. The single "See a Little Light" was a hit on the US Modern Rock chart...

s 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.

At some American universities, problem books are associated with departmental preliminary or candidacy examinations for the Ph.D. degree
Doctor of Philosophy
Doctor of Philosophy, abbreviated as Ph.D., PhD, D.Phil., or DPhil , in English-speaking countries, is a postgraduate academic degree awarded by universities...

. Such books may exemplify decades of actual examinations and, when published, are studied by graduate students at many other institutions. Other problem books are specific to individual fields of graduate study. While many problem books are collected, written, or edited by worthy, but unknown, toilers, some have been authored by famous figures in their respective fields.

Notable problem books in mathematics

  • Paul Halmos
    Paul Halmos
    Paul Richard Halmos was a Hungarian-born American mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, ergodic theory, and functional analysis . He was also recognized as a great mathematical expositor.-Career:Halmos obtained his B.A...

    , A Hilbert Space Problem Book (ISBN 978-0387906850)
  • Frederick Mosteller, Fifty Challenging Problems in Probability with Solutions (ISBN 978-0486653556)

Notable problem books in physics

  • V. V. And I. N. Toptygin, Problem in Electrodynamics (ASIN B003X6BPSE)
  • Kyriakos Tamvakis, Problems and Solutions in Quantum Mechanics (ISBN 978-0521600576)
  • A.P. Lightman
    Alan Lightman
    Alan Lightman is an American physicist, writer, and social entrepreneur. He is a professor at the Massachusetts Institute of Technology and the author of the international bestseller Einstein's Dreams. He was the first professor at MIT to receive a joint appointment in the sciences and the...

    , W.H. Press
    William H. Press
    William H. Press is an astrophysicist, theoretical physicist, and computational biologist. He is a member of the United States National Academy of Sciences, the American Academy of Arts and Sciences, and the Council on Foreign Relations. Other honors include the 1981 Helen B...

    , R.H. Price
    Richard H. Price
    Richard H. Price is an American physicist specializing in general relativity.Price graduated from Stuyvesant High School in 1960, and went on to earn a dual degree in physics and engineering from Cornell University in 1965. He earned his Ph.D. in 1971 from Caltech under the supervision of Kip...

    , and S.A. Teukolsky
    Saul Teukolsky
    Saul Teukolsky is a theoretical astrophysicist and a professor of Physics and Astronomy at Cornell University. His major research interests include general relativity, relativistic astrophysics, and computational astrophysics.-Biography:...

    , Problem Book in Relativity and Gravitation (ISBN 978-0691081625)
  • W-H. Steeb, Problems And Solutions in Quantum Computing And Quantum Information (ISBN 978-9812567406)

Notable problem books in physics based on candidacy examinations

  • J.A. Cronin
    James Cronin
    James Watson Cronin is an American nuclear physicist.Cronin was born in Chicago, Illinois and attended Southern Methodist University in Dallas, Texas. Cronin and co-researcher Val Logsdon Fitch were awarded the 1980 Nobel Prize in Physics for a 1964 experiment that proved that certain subatomic...

    , D.F. Greenberg, and V.L. Telegdi
    Valentine Telegdi
    Valentine Louis Telegdi FRS was a Hungarian-born U.S. physicist.He was the Enrico Fermi Distinguished Service Professor of Physics at the University of Chicago before he moved to ETH Zürich...

    , University of Chicago Graduate Problems in Physics with Solutions (ISBN 978-0226121093)
  • Nathan Newbury et al., Princeton Problems in Physics with Solutions (ISBN 978-0691024493)
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