Math Problems Vault
Problem statements, solutions, and answers from math textbooks and problem books. Study full solutions on your own, check just a hint or answer while doing homework — or build a test for your class by adding problems to Favorites.
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Browse by topic
- Discrete mathematics & Computer science[3902/81%]
- Analysis[31818/62%]
- Probability & Statistics[11889/64%]
- Algebra[22669/62%]
- Topology & geometry[3185/75%]
- Differential equations[2986/71%]
- Number theory[1205/79%]
- Mathematical physics[659/76%]
- Numerical analysis[1104/73%]
- Logic & foundations[1927/73%]
- Optimization[975/70%]
- Techniques[845/61%]
Textbooks and problem books
Discrete mathematics & Computer science
Total number of problems/examples
778
With solutions or answers
94%
Schaum's Outline of Theory and Problems of Graph Theory [Bal97]
V. K. Balakrishnan
Total number of problems/examples
332
With solutions or answers
98%
Lectures on Discrete Mathematics [ДДК+21a]
M. I. Dekhtyar, S. M. Dudakov, M. I. Karlov, ...
Total number of problems/examples
631
With solutions or answers
100%
Problem Book in Discrete Mathematics [ДДК+21b]
M. I. Dekhtyar, S. M. Dudakov, M. I. Karlov, ...
Total number of problems/examples
550
With solutions or answers
47%
Problem Solving in Automata, Languages, and Complexity [DuKo01]
D. Du, K. Ko
Total number of problems/examples
299
With solutions or answers
67%
Elements of Discrete Mathematics in Problems [ГДИ+16]
A. A. Glibichuk, A. B. Daynyak, D. G. Ilyinsky, ...
Total number of problems/examples
401
With solutions or answers
84%
Introduction to the Theory of Computation [Sip13]
M. Sipser
Analysis
Total number of problems/examples
587
With solutions or answers
41%
Measure, Integration & Real Analysis [Axl19]
S. Axler
Total number of problems/examples
1379
With solutions or answers
32%
Functional analysis problems [БСШ17]
P. A. Borodin, A. M. Savchuk, I. A. Sheypak
Total number of problems/examples
1044
With solutions or answers
93%
Berkeley Problems in Mathematics [deSi04]
P. N. de Souza, J. Silva
Total number of problems/examples
817
With solutions or answers
83%
Functional Analysis and Operator Theory [BCK+24]
V. B. Brayman, A. V. Chaikovskyi, O. Y. Konstantinov, ...
Total number of problems/examples
835
With solutions or answers
1%
A Course in Functional Analysis [Con07]
J. B. Conway
Total number of problems/examples
4685
With solutions or answers
96%
Problems in Mathematical Analysis [Dem97]
B. P. Demidovich
Total number of problems/examples
644
With solutions or answers
100%
Problems and Solutions in Mathematics [CJP+11]
J. Chen, G. Jiang, Y. Pan, ...
Total number of problems/examples
6314
With solutions or answers
73%
Collection of Problems in Higher Mathematics [ГюКу03]
N. M. Gunter, R. O. Kuzmin
Total number of problems/examples
250
With solutions or answers
100%
A Hilbert Space Problem Book [Hal82]
P. R. Halmos
Total number of problems/examples
423
With solutions or answers
98%
A Basis Theory Primer [Hei11]
C. Heil
Total number of problems/examples
742
With solutions or answers
50%
Theorems and Problems in Functional Analysis [KiGv88]
A. A. Kirillov, A. D. Gvishiani
Total number of problems/examples
1955
With solutions or answers
57%
Limit. Continuity. Differentiability. [ККЧ+03a]
L. D. Kudryavtsev, A. D. Kutasov, V. I. Chekhlov, ...
Total number of problems/examples
2165
With solutions or answers
74%
Integrals. Series. [ККЧ+03b]
L. D. Kudryavtsev, A. D. Kutasov, V. I. Chekhlov, ...
Total number of problems/examples
2038
With solutions or answers
49%
Functions of Several Variables [ККЧ+03c]
L. D. Kudryavtsev, A. D. Kutasov, V. I. Chekhlov, ...
Total number of problems/examples
135
With solutions or answers
98%
Functional Analysis Problems with Solutions [Le13]
A. Le
Total number of problems/examples
1055
With solutions or answers
94%
Selected Problems in Real Analysis [МГЛ+04]
B. M. Makarov, M. G. Goluzina, A. A. Lodkin, ...
Total number of problems/examples
1709
With solutions or answers
19%
Measure and Integral: Theory and Practice [Pet25]
J. S. Petrovic
Total number of problems/examples
1809
With solutions or answers
99%
Problems and Theorems in Analysis [PóSz98]
G. Pólya, G. Szegő
Total number of problems/examples
281
With solutions or answers
99%
An Introduction to Measure-Theoretic Probability [Rou14]
G. G. Roussas
Total number of problems/examples
974
With solutions or answers
22%
Real Analysis [RoFi23]
H. L. Royden, P. M. Fitzpatrick
Total number of problems/examples
287
With solutions or answers
1%
Principles of Mathematical Analysis [Rud76]
W. Rudin
Total number of problems/examples
397
With solutions or answers
4%
Real and Complex Analysis [Rud87]
W. Rudin
Total number of problems/examples
314
With solutions or answers
0%
Functional Analysis [Rud91]
W. Rudin
Total number of problems/examples
704
With solutions or answers
39%
Collection of Problems on the Theory of Functions of a Complex Variable [ШПК15]
M. I. Shabunin, E. S. Polovinkin, M. I. Karlov
Total number of problems/examples
154
With solutions or answers
38%
Beginning Functional Analysis [Sax02]
K. Saxe
Total number of problems/examples
554
With solutions or answers
47%
The Theory of Measures and Integration [Ves03]
E. M. Vestrup
Probability & Statistics
Total number of problems/examples
545
With solutions or answers
0%
Measure Theory and Probability Theory [AtLa06]
K. B. Athreya, S. N. Lahiri
Total number of problems/examples
343
With solutions or answers
1%
Stochastic Processes [Bas11]
R. F. Bass
Total number of problems/examples
595
With solutions or answers
32%
Probability and Measure [Bil95]
P. Billingsley
Total number of problems/examples
241
With solutions or answers
0%
Theory of Stochastic Processes [БуШи05]
A. V. Bulinski, A. N. Shiryaev
Total number of problems/examples
497
With solutions or answers
85%
Exercises in Probability [Cac89]
T. Cacoullos
Total number of problems/examples
445
With solutions or answers
93%
Probability Through Problems [CaZa01]
M. Capiński, T. Zastawniak
Total number of problems/examples
129
With solutions or answers
36%
Applied Methods of Statistical Data Analysis [ГПП12]
E. R. Goryainova, A. R. Pankov, E. N. Platonov
Total number of problems/examples
311
With solutions or answers
99%
Stochastic Processes: Theory for Applications [Gal13]
R. G. Gallager
Total number of problems/examples
1322
With solutions or answers
100%
Probability and Random Processes [GrSt20]
G. R. Grimmett, D. R. Stirzaker
Total number of problems/examples
298
With solutions or answers
76%
An Intermediate Course in Probability [Gut09]
A. Gut
Total number of problems/examples
909
With solutions or answers
67%
Collection of Problems and Exercises in Probability Theory [КоФо03]
D. A. Korshunov, S. G. Foss
Total number of problems/examples
88
With solutions or answers
1%
Stationary Stochastic Processes for Scientists and Engineers [LRS14]
G. Lindgren, H. Rootzén, M. Sandsten
Total number of problems/examples
913
With solutions or answers
0%
Theory of Point Estimation [LeCa98]
E. L. Lehmann, G. Casella
Total number of problems/examples
114
With solutions or answers
83%
Foundations of Probability Theory [ЖРШ15]
M. E. Zhukovskiy, I. V. Rodionov, D. A. Shabanov
Total number of problems/examples
112
With solutions or answers
88%
Introduction to Mathematical Statistics [ЖРШ16a]
M. E. Zhukovskiy, I. V. Rodionov, D. A. Shabanov
Total number of problems/examples
100
With solutions or answers
88%
Foundations of the Theory of Stochastic Processes [ЖРШ16b]
M. E. Zhukovskiy, I. V. Rodionov, D. A. Shabanov
Total number of problems/examples
1487
With solutions or answers
78%
Problems in Probability Theory [ПУУ86]
A. V. Prokhorov, V. G. Ushakov, N. Ushakov
Total number of problems/examples
213
With solutions or answers
0%
A User's Guide to Measure Theoretic Probability [Pol02]
D. Pollard
Total number of problems/examples
292
With solutions or answers
100%
Brownian Motion: A Guide to Random Processes and Stochastic Calculus [Sch21]
R. L. Schilling
Total number of problems/examples
285
With solutions or answers
92%
Linear Regression Analysis [SeLe03]
G. A. Seber, A. J. Lee
Total number of problems/examples
400
With solutions or answers
100%
Mathematical Statistics: Exercises and Solutions [Sha05]
J. Shao
Total number of problems/examples
705
With solutions or answers
81%
Exercises and Solutions in Probability and Statistics [Smi26]
G. Smith
Algebra
Total number of problems/examples
732
With solutions or answers
0%
Linear Algebra Done Right [Axl24]
S. Axler
Total number of problems/examples
1939
With solutions or answers
73%
Collection of problems in analytical geometry and linear algebra [ББП+23]
L. A. Beklemisheva, D. V. Beklemishev, A. Y. Petrovich, ...
Total number of problems/examples
236
With solutions or answers
100%
Solutions to Problems from a Course in Analytic Geometry and Linear Algebra [Бек14]
D. V. Beklemishev
Total number of problems/examples
1817
With solutions or answers
70%
Contemporary Abstract Algebra [Gal21]
J. A. Gallian
Total number of problems/examples
334
With solutions or answers
100%
Matrix Algebra: Exercises and Solutions [Har01]
D. A. Harville
Total number of problems/examples
1960
With solutions or answers
69%
EXERCISES IN ALGEBRA: A Collection of Exercises in Algebra, Linear Algebra and Geometry [Кос15]
A. I. Kostrikin
Total number of problems/examples
177
With solutions or answers
0%
Algebra basics [Кос04a]
A. I. Kostrikin
Total number of problems/examples
154
With solutions or answers
53%
Linear algebra [Кос00]
A. I. Kostrikin
Total number of problems/examples
141
With solutions or answers
37%
Main algebraic structures [Кос04b]
A. I. Kostrikin
Total number of problems/examples
742
With solutions or answers
98%
Matrix Analysis and Applied Linear Algebra [Mey00]
C. D. Meyer
Total number of problems/examples
450
With solutions or answers
92%
Problems and Solutions for Groups, Lie Groups, Lie Algebras with Applications [STH12]
W. Steeb, I. Tanski, Y. Hardy
Total number of problems/examples
1781
With solutions or answers
71%
Problems in Analytic Geometry and Linear Algebra [Сми16]
Y. M. Smirnov
Total number of problems/examples
1265
With solutions or answers
63%
Problems and Solutions in Introductory and Advanced Matrix Calculus [StHa17]
W. Steeb, Y. Hardy
Total number of problems/examples
227
With solutions or answers
0%
A Course in Algebra [Вин14]
E. B. Vinberg
Topology & geometry
Logic & foundations
References
[Bal97] Balakrishnan V.K. Schaum's Outline of Theory and Problems of Graph Theory. McGraw-Hill, 1997.
[ДДК+21a] Дехтярь М.И., Дудаков С.М., Карлов М.И., Карлов Б.Н. Лекции по дискретной математике. 3-е изд., Тверской государственный университет, 2021.
[ДДК+21b] Дехтярь М.И., Дудаков С.М., Карлов М.И., Карлов Б.Н. Задачник по дискретной математике. 2-е изд., Тверской государственный университет, 2021.
[DuKo01] Du D., Ko K. Problem Solving in Automata, Languages, and Complexity. John Wiley & Sons, 2001.
[ГДИ+16] Глибичук А.А., Дайняк А.Б., Ильинский Д.Г., Купавский А.Б., Райгородский А.М., Скопенков А.Б., Чернов А.А. Элементы дискретной математики в задачах. МЦНМО, 2016.
[Sip13] Sipser M. Introduction to the Theory of Computation. 3rd ed., Cengage Learning, 2013.
[Axl19] Axler S. Measure, Integration & Real Analysis. 3rd ed., Springer, 2019.
[БСШ17] Бородин П.А., Савчук А.М., Шейпак И.А. Задачи по функциональному анализу. МЦНМО, 2017.
[deSi04] de Souza P.N., Silva J. Berkeley Problems in Mathematics. 3rd ed., Springer, 2004.
[BCK+24] Brayman V.B., Chaikovskyi A.V., Konstantinov O.Y., Kukush A.G., Mishura Y.S., Nesterenko O.N. Functional Analysis and Operator Theory. Springer, 2024.
[Con07] Conway J.B. A Course in Functional Analysis. 2nd ed., Springer, 2007.
[Dem97] Demidovich B.P. Сборник задач и упражнений по математическому анализу. 13-е изд., Издательство Московского университета / Издательство "ЧеРо", 1997.
[CJP+11] Chen J., Jiang G., Pan Y., Qin T., Tong Y., Wu Q., Xu S., Li T. Problems and Solutions in Mathematics. 2nd ed., World Scientific, 2011.
[ГюКу03] Гюнтер Н.М., Кузьмин Р.О. Сборник задач по высшей математике. 13-е изд., Издательство «Лань», 2003.
[Hal82] Halmos P.R. A Hilbert Space Problem Book. 2nd ed., Springer-Verlag, 1982.
[Hei11] Heil C. A Basis Theory Primer. Birkhäuser, 2011.
[KiGv88] Kirillov A.A., Gvishiani A.D. Теоремы и задачи функционального анализа. 2-е изд., Наука, 1988.
[ККЧ+03a] Кудрявцев Л.Д., Кутасов А.Д., Чехлов В.И., Шабунин М.И. Предел. Непрерывность. Дифференцируемость. 2-е изд., ФИЗМАТЛИТ, 2003.
[ККЧ+03b] Кудрявцев Л.Д., Кутасов А.Д., Чехлов В.И., Шабунин М.И. Интегралы. Ряды. 2-е изд., ФИЗМАТЛИТ, 2003.
[ККЧ+03c] Кудрявцев Л.Д., Кутасов А.Д., Чехлов В.И., Шабунин М.И. Функции многих переменных. 2-е изд., ФИЗМАТЛИТ, 2003.
[Le13] Le A. Functional Analysis Problems with Solutions. 2013.
[МГЛ+04] Макаров Б.М., Голузина М.Г., Лодкин А.А., Подкорытов А.Н. Избранные задачи по вещественному анализу. 2-е изд., Невский Диалект; БХВ-Петербург, 2004.
[Pet25] Petrovic J.S. Measure and Integral: Theory and Practice. CRC Press, 2025.
[PóSz98] Pólya G., Szegő G. Problems and Theorems in Analysis. Springer, 1998.
[Rou14] Roussas G.G. An Introduction to Measure-Theoretic Probability. 2nd ed., Elsevier / Academic Press, 2014.
[RoFi23] Royden H.L., Fitzpatrick P.M. Real Analysis. 5th ed., Pearson, 2023.
[Rud76] Rudin W. Principles of Mathematical Analysis. 3rd ed., McGraw-Hill, 1976.
[Rud87] Rudin W. Real and Complex Analysis. 3rd ed., McGraw-Hill, 1987.
[Rud91] Rudin W. Functional Analysis. 2nd ed., McGraw-Hill, 1991.
[ШПК15] Шабунин М.И., Половинкин Е.С., Карлов М.И. Сборник задач по теории функций комплексного переменного. 4-е изд., БИНОМ. Лаборатория знаний, 2015.
[Sax02] Saxe K. Beginning Functional Analysis. Springer, 2002.
[Ves03] Vestrup E.M. The Theory of Measures and Integration. Wiley-Interscience, 2003.
[AtLa06] Athreya K.B., Lahiri S.N. Measure Theory and Probability Theory. Springer, 2006.
[Bas11] Bass R.F. Stochastic Processes. Cambridge University Press, 2011.
[Bil95] Billingsley P. Probability and Measure. 3rd ed., Wiley-Interscience, 1995.
[БуШи05] Булинский А.В., Ширяев А.Н. Теория случайных процессов. ФИЗМАТЛИТ, 2005.
[Cac89] Cacoullos T. Exercises in Probability. Springer-Verlag, 1989.
[CaZa01] Capiński M., Zastawniak T. Probability Through Problems. Springer, 2001.
[ГПП12] Горяинова Е.Р., Панков А.Р., Платонов Е.Н. Прикладные методы анализа статистических данных. Издательский дом Высшей школы экономики, 2012.
[Gal13] Gallager R.G. Stochastic Processes: Theory for Applications. Cambridge University Press, 2013.
[GrSt20] Grimmett G.R., Stirzaker D.R. Probability and Random Processes. 4th ed., Oxford University Press, 2020.
[Gut09] Gut A. An Intermediate Course in Probability. 2nd ed., Springer, 2009.
[КоФо03] Коршунов Д.А., Фосс С.Г. Сборник задач и упражнений по теории вероятностей. 2-е изд., Новосибирский государственный университет, 2003.
[LRS14] Lindgren G., Rootzén H., Sandsten M. Stationary Stochastic Processes for Scientists and Engineers. CRC Press (Taylor & Francis Group), 2014.
[LeCa98] Lehmann E.L., Casella G. Theory of Point Estimation. 2nd ed., Springer, 1998.
[ЖРШ15] Жуковский М.Е., Родионов И.В., Шабанов Д.А. Основы теории вероятностей. МФТИ, 2015.
[ЖРШ16a] Жуковский М.Е., Родионов И.В., Шабанов Д.А. Введение в математическую статистику. МФТИ, 2016.
[ЖРШ16b] Жуковский М.Е., Родионов И.В., Шабанов Д.А. Основы теории случайных процессов. МФТИ, 2016.
[ПУУ86] Прохоров А.В., Ушаков В.Г., Ушаков Н. Задачи по теории вероятностей. Наука. Главная редакция физико-математической литературы, 1986.
[Pol02] Pollard D. A User's Guide to Measure Theoretic Probability. Cambridge University Press, 2002.
[Sch21] Schilling R.L. Brownian Motion: A Guide to Random Processes and Stochastic Calculus. 3rd ed., De Gruyter, 2021.
[SeLe03] Seber G.A., Lee A.J. Linear Regression Analysis. 2nd ed., John Wiley & Sons, 2003.
[Sha05] Shao J. Mathematical Statistics: Exercises and Solutions. Springer, 2005.
[Smi26] Smith G. Exercises and Solutions in Probability and Statistics. CRC Press, 2026.
[Axl24] Axler S. Linear Algebra Done Right. 4th ed., Springer, 2024.
[ББП+23] Беклемишева Л.А., Беклемишев Д.В., Петрович А.Ю., Чубаров И.А. Сборник задач по аналитической геометрии и линейной алгебре. Лань, 2023.
[Бек14] Беклемишев Д.В. Решение задач из курса аналитической геометрии и линейной алгебры. ФИЗМАТЛИТ, 2014.
[Gal21] Gallian J.A. Contemporary Abstract Algebra. 10th ed., CRC Press, 2021.
[Har01] Harville D.A. Matrix Algebra: Exercises and Solutions. Springer, 2001.
[Кос15] Кострикин А.И. Сборник задач по алгебре. МЦНМО, 2015.
[Кос04a] Кострикин А.И. Основы алгебры. ФИЗМАТЛИТ, 2004.
[Кос00] Кострикин А.И. Линейная алгебра. ФИЗМАТЛИТ, 2000.
[Кос04b] Кострикин А.И. Основные структуры алгебры. ФИЗМАТЛИТ, 2004.
[Mey00] Meyer C.D. Matrix Analysis and Applied Linear Algebra. SIAM, 2000.
[STH12] Steeb W., Tanski I., Hardy Y. Problems and Solutions for Groups, Lie Groups, Lie Algebras with Applications. World Scientific Publishing, 2012.
[Сми16] Смирнов Ю.М. Сборник задач по аналитической геометрии и линейной алгебре. МЦНМО, 2016.
[StHa17] Steeb W., Hardy Y. Problems and Solutions in Introductory and Advanced Matrix Calculus. 2nd ed., World Scientific Publishing, 2017.
[Вин14] Винберг Э.Б. Курс алгебры. 2-е изд., МЦНМО, 2014.
[Law06] Lawson T. Topology: A Geometric Approach. Oxford University Press, 2006.
[LaMa02] Lavrov I.A., Maksimova L.L. Задачи по теории множеств, математической логике и теории алгоритмов. 5-е изд., Физматлит, 2002.