Awesome Math Books

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A curated collection of some of the best mathematics books ever written — spanning classical foundations, probability, analysis, geometry, and problem-solving texts used by mathematicians, scientists, engineers, and AI researchers.

Free resources first; our paid editions are marked separately.

Go to the free collection: Math | All subjects

Our Mathematics Editions (Commercial)

Some linked library records in the free collection offer borrowing or previews rather than unrestricted downloads.

English editions published by Northern Star Academic Press at russianmathbooks.com. These are paid books, separate from the free-resource collection below.

• Kiselev's Arithmetic.
• Berezanskaya: Arithmetic - Problems and Exercises.
• Kiselev's Algebra, Part I.
• Kiselev's Algebra, Part II.
• Kiselev's Problems and Exercises in Elementary Algebra.
• Kiselev's Planimetry.
• Kiselev's Stereometry.
• Kiselev's Calculus.
• Fikhtengol'ts' Foundations of Mathematical Analysis, Volume I.
• Fikhtengol'ts' Foundations of Mathematical Analysis, Volume II.
• Demidovich's Analysis Problems.
• Demidovich's Analysis Problems for Engineers.
• Gunter and Kuzmin: Problems in Higher Mathematics, Part I.
• Gunter and Kuzmin: Problems in Higher Mathematics, Part II.
• Markov: The Calculus of Probabilities.
• Rachinsky: 1001 Problems in Mental Arithmetic.
• Kiselev's Systematic Course of Arithmetic.

Other editions:

• Arithmetic by A. Malinin and K. Burenin.
• Entertaining Arithmetic by Ya.I. Perelman.
• Collection of Problems in Geometry, Part I: Planimetry by N.A. Rybkin.
• Algebra by A.N. Barsukov.
• Solutions to Rachinsky's 1001 Problems by V. Manokhin.

Browse the full catalogue at russianmathbooks.com | Mathematics bundles

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Table of Contents

• Math
• Machine_learning
• Physics
• Econometrics
• Optimization
• Information_theory
• Signal_processing
• History
• Probability
• Our Books (Commercial)

Math

1. Probability - First Steps by E.S. Wentzel 🔥🔥🔥🔥🔥
2. Applied Problems in Probability Theory by Wentzel and Ovcharov
3. Principles of Mathematical Analysis by Walter Rudin
4. What Is Mathematics? by Richard Courant and Herbert Robbins
5. Introduction to matrix analysis by Richard Bellman
6. Combinatorial mathematics for recreation Vilenkin
7. Challenging mathematical problems with elementary solutions, Volume I, Combinatorial Analysis and Probability Theory Yaglom & Yaglom
8. Collection of problems in probability theory by Meshalkin
9. Algebra by Gelfand and Shen
10. Kolmogorov Complexity and Algorithmic Randomness by Shen, Uspensky, Vereschagin
11. Mathematical Analysis – A Brief Course For Engineering Students by A.F . Bermant; I. G. Aramanovich
12. A Collection of Problems on a Course of Mathematical Analysis by Berman
13. Higher Mathematics ( Part 1) – for Engineering Students Part 1. Linear Algebra and Fundamentals of Mathematical Analysis by A. V. Efimov; B. P. Demidovich
14. Mathematical Analysis In Questions And Problems by B. F. Butuzov (Ed.); N. Ch. Krutitsknyn; G. N. Medvedev; A. A. Shishkin
15. Mathematical Handbook – Elementary Mathematics by M. Vygodsky
16. Foundations of The Theory of Probability by A.N. Kolmogorov 🔥🔥🔥🔥🔥
17. Operations research pdf by Elena Wentzel
18. Measure, Lebesgue Integrals and Hilbert Space by Kolmogorov and Fomin. Alternative link (MEGA)
19. The method of mathematical induction by Sominskii
20. Methods Of Solving Problems in High School Mathematics by A. G. Tsypkin; A. I. Pinsky ; V. I. Blagodatskikh (Editor)
21. Mathematical Handbook – Higher Mathematics by Vygodsky
22. Differential and Integral Calculus (Volumes 1 & 2) volume 1 volume II by Piskunov
23. Higher Mathematics For Beginners And Its Application To Physics by Zeldovich
24. Calculus: Basic Concepts for High Schools by Tarasov
25. Differential Equations and the Calculus of Variations pdf by Elsgolts
26. The World is Built on Probability by Lev Tarasov
27. Problems In Probability Theory, Mathematical Statistics And Theory Of Random Functions by Sveshnikov
28. Probability And Information by Yaglom and Yaglom
29. An Elementary Introduction to The Theory of Probability by Gnedenko, Khinchin
30. Theory of Probability pdf by Gnedenko 🔥🔥🔥🔥🔥
31. Fundamentals of Linear Algebra and Analytical Geometry pdf by Bugrov, Nikolsky
32. Higher Mathematics ( Part 1) – for Engineering Students Part 1. Linear Algebra and Fundamentals of Mathematical Analysis by A. V. Efimov; B. P. Demidovich
33. Linear Algebra with Elements of Analytic Geometry by Solodovnikov, Toropova
34. Linear Algebra And Multi Dimensional Geometry by Efimov, Rozendorn
35. Linear Algebra: Problems Book pdf by Ikramov
36. Linear Algebra by Voyevodin. Alternative link (MEGA)
37. Problems in Linear Algebra pdf by Proskuryakov
38. Analytical Geometry by Pogorelov
39. Problems In Analytic Geometry by D. Kletenik
40. A Collection Of Problems (Higher Mathematics) by Bugrov, Nikolsky
41. Mathematical Analysis – Functions, Limits, Series, Continued Fractions by Lyusternik, Yanpol'skii (Eds.)
42. Ordinary Differential Equations by Pontryagin
43. Mathematical Analysis In Questions And Problems by B. F. Butuzov (Ed.); N. Ch. Krutitsknyn; G. N. Medvedev; A. A. Shishkin
44. A Course on Mathematical Analysis by Khinchin
45. A Course of Mathematical Analysis Volume 1 Volume 1 pdf Volume 2 Volume 2 pdf
46. Introductory probability theory by Yuri Rozanov
47. Differential And Integral Calculus by Piskunov
48. Linear algebra by Shilov
49. Mathematics for computer science by Lehman, Leighton, Meyer (MIT)
50. Introduction to the theory of probability and statistics by Niels Arley and Rander Buch
51. Introduction To Mathematical Probability by Uspensky
52. An introduction to linear algebra and tensors by Akivis and Goldberg
53. Calculus Of Variations by I.M. Gelfand; S.V. Fomin
54. Introductory Real Analysis by Kolmogorov and Fomin 🔥🔥🔥🔥🔥
55. Elementary Mathematics ( Selected Topics And Problem Solving) by G. Dorofeev; M. Potapov; N. Rozov
56. A Brief Course Of Higher Mathematics by V.A. Kudryavtsev and Demidovich
57. The Moscow Puzzles by Boris A. Kordemsky
58. Differential Equations And The Calculus Of Variations by L. Elsgolts
59. Problem Book In High School Mathematics by Prilepko
60. Problems In Mathematics With Hints And Solutions by V. Govorov; P. Dybov; N. Miroshin; S. Smirnova
61. The USSR Olympiad Problem Book by D. O. Shklarsky; N. N. Chentzov; I. M. Yaglom
62. Fourier Series by G.P. Tolstov
63. Mathematical Aspects Of Computer Engineering by V.P. Maslov (Ed.); K.A. Volosov ( Ed.)
64. Higher Mathematics ( Part 1) - for Engineering Students Part 1. Linear Algebra and Fundamentals of Mathematical Analysis by A. V. Efimov; B. P. Demidovich
65. Inequalities (Little Mathematics Library) by P. P. Korovkin
66. High School Mathematics Part 1 by G. N. Yakovlev ( Ed.) 🔥🔥🔥🔥🔥
67. High School Mathematics Part 2 by G. N. Yakovlev ( Ed.) 🔥🔥🔥🔥🔥
68. Solving Problems In Algebra And Trigonometry by V. Litvinenko; A. Mordkovich
69. Fundamentals Of Mathematical Analysis, Part I by Ilyin, Poznyak
70. Fundamentals Of Mathematical Analysis, Part II by Ilyin, Poznyak
71. Questions And Problems In High School Mathematics by L. A. Kondratyeva; V. S. Solomonik
72. Differential And Integral Calculus Volume 2 by N. Piskunov
73. Solving Problems In Geometry by V. Gusev; V. Litvinenko; A. Mordkovich
74. Sequences, Combinations, Limits (Library of School Mathematics Vol. 3) by S.I. Gelfand; M.L. Gerver; N.N. Konstantinov; A. G. Kushnirenko; A.A. Kirillov
75. Worked Problems In Applied Mathematics by N. N. Lebedev; I. P. Skalskaya; Y. S. Uflyand
76. Limits And Continuity ( Pocket Mathematical Library) by P. P. Korovkin
77. Theory of Matrices, Volume I by Gantmacher 🔥🔥🔥🔥🔥
78. Theory of Matrices, Volume II by Gantmacher 🔥🔥🔥🔥🔥
79. Elements Of Applied Mathematics YA. B. Zeldovich, A. D. Myskis
80. Computational Mathematics by B. P. Demidovich; I. A. Maron
81. A Course Of Mathematical Analysis by A. Ya. Khinchin 🔥🔥🔥🔥🔥
82. Geometric Transformations 1 by I. M. Yaglom
83. Problems In Plane Geometry ( Science For Everyone) by I. F. Sharygin
84. Trigonometric Functions - Problem Solving Approach by A. Panchishkin, E. Shavgulidze
85. Measure And Derivative A Unified Approach by G.E. Shilov; B.L. Gurevich
86. Higher Algebra by A. Kurosh
87. Mathematical Logic by Yu. L. Ershov, E. A. Palyutin
88. Problems And Exercises In Integral Equations by M. Krasnov, A. Kiselev, G. Makarenko
89. Continued Fractions by A. Ya. Khinchin
90. Elements Of Number Theory by I. M. Vinogradov
91. Vector Analysis by M.L. Krasnov; A.I. Kiselev; G.I. Makarenko.
92. Differentiation Explained ( Little Mathematics Library) by V. G. Boltyansky
93. Generalized Functions Vol 1 Properties And Operations by I. M. Gelfand; G. E. Shilov
94. Geometry by E. Z. Shuvalova
95. Problems In Elementary Mathematics by Lidsky, Ovsyannikov, Tuliakov and Shabunin
96. Learn Limits Through Problems! Pocket Mathematical Library Workbook 2 by S. I. Gelfand; M. L. Gerver; A. A. Kirillov; N. N. Konstantinov; A.G. Kushnirenko
97. Introduction To Topology by Yu. Borisovich; N. Bliznyakov; Ya. Izrailevich; T. Fomenko
98. Challenging Mathematical Problems With Elementary Solutions Vol. 1 by A. M. Yaglom; I. M. Yaglom
99. mathematics can be fun-1 by Yakov Perelman → See also our English edition of Entertaining Arithmetic (commercial, russianmathbooks.com).
100. Worked Problems In Applied Mathematics by N. N. Lebedev; I. P. Skalskaya; Y. S. Uflyand pdf
101. Selected Problems On Discrete Mathematics by G. P. Gavrilov; A. A. Sapozhenko
102. Mistakes in Geometric Proofs by Dubnov
103. Mathematical Problems And Puzzles from the Polish Mathematical Olympiads (Popular Lectures in Mathematics Vol 10) by Straszewicz
104. One Hundred Problems In Elementary Mathematics (Popular Lectures in Mathematics Vol. 7) by Steinhaus
105. Mathematical Foundations of Statistical Mechanics by A. I. Khinchin.
106. A Problem Book In Algebra by Krechmar
107. Algebra by Serge Lang
108. Interpretations Of Probability by Khrennikov (2003)
109. Applied Probability by Paul Pfeiffer
110. Introduction to probability by John Freund
111. Probability by Leo Breiman
112. A Treatise of Probability by John Maynard Keynes
113. Geometrical probability by Kendall & Moran
114. Problems In Linear Algebra by I. V. Proskuryakov
115. Linear Algebra by V. V. Voyevodin
116. Linear algebra with applications by Keith Nicholson
117. Calculus by Spivak
118. Introductory Calculus Textbook Collection by Michael Spivak
119. Mathematics for Machine Learning by Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong
120. Fundamentals Of Linear Algebra And Analytical Geometry by Bugrov and Nikolsky
121. An Algebra for Secondary Schools by Earle Raymond Hedrick (1908)
122. Linear Algebra with Elements of Analytic Geometry by A.S. Solodovnikov, G.A. Toropova
123. Pure mathematics, Part I by Frank Gerrish
124. Pure mathematics, Part II by Frank Gerrish
125. Calculus of a Single Variable
126. The Colossal Book Of Mathematics by Martin Gardner
127. Calculus Made Easy by Silvanus P. Thompson
128. Book Of Proof by Richard H. Hammack
129. Problems In Higher Mathematics by V. P. Minorsky
130. Complete solutions manual for Stewart's calculus
131. Methods Of Solving Problems In High School Mathematics by A. G. Tsypkin; A. I. Pinsky
132. Trigonometric Functions - a problem solving approach by Panchishkin and Shavgulidze
133. Vector Analysis by M.L. Krasnov; A.I. Kiselev; G.I. Makarenko.
134. Learn Limits Through Problems! ( Pocket Mathematical Library Workbook 2) by S. I. Gelfand; M. L. Gerver; A. A. Kirillov; N. N. Konstantinov; A.G. Kushnirenko
135. Sequences And Combinatorial Problems ( Pocket Mathematical Library Workbook 1) by S. I. Gelfand; M. L. Gerver; A. A. Kirillov; N. N. Konstantinov; A.G. Kushnirenko
136. Introductory Mathematics Books by Israel M. Gelfand - Collection by Israel M. Gelfand
137. Problems in the calculus, with formulas and suggestions by Leib, David D. (David Deitch) (1915)
138. Linear Algebra A Course for Physicists and Engineers by Arak M. Mathai, Hans J. Haubold
139. A history of mathematics by Boyer, Carl
140. Fourier series by Tolstov
141. Problems In Elementary Mathematics For Home Study by N. Antonov; M. Vygodsky; V. Nikitin; A. Sankin
142. Introduction to algebra by Kostrikin, A. I. (Alekseĭ Ivanovich)
143. Selected Problems And Theorems In Elementary Mathematics by D. O. Shklyarsky, N. N. Chentsov, I. M. Yaglom
144. Introduction To Physics ( 2nd Ed.) by A. Kitaigorodsky
145. Problems in geometry by Modenov
146. A Brief Course In Analytic Geometry by Yefimov
147. Lectures On The Theory Of Functions Of A Complex Variable by Yu. V. Sidorov, M. V. Fedoryuk, M. I. Shabunin
148. Problems in Mathematical Statistics by G. I. Ivchenko, Yu. I. Medvedev, A. V. Chistyakov
149. Lectures In Geometry Semester I Analytic Geometry by M. Postnikov
150. Lectures In Geometry: Semester II - Linear Algebra And Differential Geometry by M. Postnikov
151. Elementary real and complex analysis by Shilov
152. Mathematical Analysis - Differentiation And Integration by I. G. Aramanovich; R.S.Guter; L.A.Lyusternik; I.L. Raukhvarger; M. I. Skanavi; A. R.Yanpol'skii
153. Optimal control by Alekseev, Tikhomirov and Fomin.
154. An Introduction To Information Theory by Reza, Fazlollah M.
155. The Essence of Mathematics Through Elementary Problems by Alexandre Borovik and Tony Gardiner;
156. Advanced Problems in Mathematics Preparing for University by Stephen Siklos
157. Concrete Mathematics by Donald Knuth
158. Sequences, Combinations, Limits (Library of School Mathematics) by S.I. Gelfand; M.L. Gerver; N.N. Konstantinov; A. G. Kushnirenko; A.A. Kirillov
159. Problems In Differential Geometry And Topology by A. S. Mishchenko, Yu. P. Solovyev, A. T. Fomenko
160. 250 problems in elementary number theory by Wacław Sierpiński
161. Theory Of Markov Processes by Dynkin
162. Markov processes theorems and problems Dynkin and Yushkevich
163. Problems In Descriptive Geometry by Arustamov
164. Mathematics Its Contents Methods And Meaning Vol 1 2 and 3 by Aleksandrov, Kolmogorov and Lavren'iev
165. Solving Problems In Algebra And Trigonometry by V. Litvinenko; A. Mordkovich
166. Linear Algebra Problem Book by Paul Halmos
167. Higher Mathematics for Beginners and Its Application to Physics – Yakov Zeldovich (1973)
168. A Course Of Mathematical Analysis Vol 1 by S. M. Nikolsky (MIPT core mathematical analysis textbook) 🔥🔥🔥🔥🔥
169. A Course Of Mathematical Analysis Vol 2 by S. M. Nikolsky (MIPT core mathematical analysis textbook) 🔥🔥🔥🔥🔥
170. Problems In Elementary Mathematics by V. Lidsky, L. Ovsyannikov, A. Tuliakov and M. Shabunin. Alternative record. A problem-solving companion that ranges across calculus, algebra, and geometry. Offers clear solutions and is perfect for deepening mathematical intuition.
171. A Course of Higher Mathematics (Vol. 1–5) by V. I. Smirnov. Catalogue search for available volumes covering analysis, differential equations, and complex function theory.
172. The Man Who Counted – Malba Tahan. Alternative record. A mathematical Arabian Nights: enjoy fables packed with number theory, logic, and elegant problem-solving.
173. The Universal History of Numbers by Georges Ifrah. A global, epic journey through how human beings invented and evolved number systems—brilliant and sweeping.
174. Zero: The Biography of a Dangerous Idea by Charles Seife. A deep dive into the philosophical and mathematical impact of the number zero, from ancient India to modern physics.
175. A History of Pi by Petr Beckmann. A quirky, passionate account of π through the ages—this cult classic blends math with snark and drama.
176. The Triumph of Numbers by I. B. Cohen. A concise but rich account of how numerical thinking reshaped economics, science, and society.
177. Mathematical Analysis - Differentiation And Integration by I. G. Aramanovich; R.S.Guter; L.A.Lyusternik; I.L. Raukhvarger; M. I. Skanavi; A. R.Yanpol'skii
178. Mathematical Analysis For School Students by Lev Pontryagin
179. Elementary Mathematics ( Selected Topics And Problem Solving) by G. Dorofeev; M. Potapov; N. Rozov
180. Worked Problems In Applied Mathematics by N. N. Lebedev; I. P. Skalskaya; Y. S. Uflyand
181. Apostol's Calculus,Volume 1, Caltech core math textbook by Tom M. Apostol
182. Apostol's Calculus,Volume 2, Caltech core math textbook by Tom M. Apostol
183. General Topology by John Kelley
184. A history of probability and statistics and their applications before 1750 by Andres Hald
185. The rise of statistical thinking, 1820-1900
186. Problems In Plane Geometry by Sharygin
187. Probability Theory And Mathematical Statistics by Klimov
188. Love And Mathematics Sofya Kovalevskaya by Pelageya Kochina
189. Probability : a survey of the mathematical theory by John Lamperti
190. Probabilistic method by Alon and Spencer
191. An Introduction to The Theory of Numbers by Hardy and Wright (1938)
192. Introduction to number theory by Morten Risager
193. Course of pure mathematics by Hardy (1921)
194. Mishchenko, Fomenko A Course Of Differential Geometry And Topology
195. Number systems by S.V. Fomin
196. Problems In Mathematical Analysis the iconic book elite Chinese students called Jimmy.
197. Trigonometry by Gelfand and Saul 🔥🔥🔥🔥🔥
198. Algebra by Gelfand and Shen 🔥🔥🔥🔥🔥
199. Elements Of Applied Mathematics by Zeldovich and Myskis
200. Higher Math for Beginners by Zeldovich and Yaglom
201. Mathematical Analysis For Engineers Vol 1 by M. Krasnov; A. Kiselev; G. Makarenko; E. Shikin
202. Mathematical Analysis For Engineers Vol 2 by M. Krasnov; A. Kiselev; G. Makarenko; E. Shikin
203. Limit Distributions For Sums Of Independent Random Variables by B. V. Gnedenko; A. N. Kolmogorov 🔥🔥🔥🔥🔥
204. Random Walks by E. B. Dynkin; V. A. Uspenskii
205. Three Pearls Of Number Theory by A. Y. Khinchin 🔥🔥🔥🔥🔥
206. Eight Lectures on Mathematical Analysis by A. Ya. Khinchin
207. Mathematical Foundations of Quantum Statistics by A. Ya. Khinchin
208. Mathematical Problems: An Anthology (Pocket Mathematical Library) by E. B. Dynkin; S. A. Molchanov et al.
209. Generalized Functions Vol 2 Spaces Of Fundamental And Generalized Functions by I. M. Gelfand; G. E. Shilov
210. Generalized Functions Vol 3 Theory Of Differential Equations by I. M. Gelfand; G. E. Shilov
211. Generalized Functions Vol 4 Applications Of Harmonic Analysis by I. M. Gelfand; N. Ya. Vilenkin
212. Generalized Functions Vol 5 Integral Geometry And Representation Theory by I. M. Gelfand; M. I. Graev; N. Ya. Vilenkin
213. Calculus of Rational Functions (Little Mathematics Library) by G. E. Shilov
214. Introduction To Mathematical Probability by J.V. Unspenskii
215. Elements of the Theory of Functions and Functional Analysis by A.N. Kolmogorov and S.V. Fomin
216. Multiple Integrals, Field Theory and Series by B.M. Budak and S.V. Fomin
217. Functions and Graphs by I.M. Gelfand, E.G. Glagoleva and E.E. Shnol
218. Generalized Functions, Vol. 6: Representation Theory and Automorphic Forms by I.M. Gelfand, M.I. Graev and I.I. Pyatetskii-Shapiro
219. A Problem Book in Mathematical Analysis by G.N. Berman
220. Partial Differential Equations by V.P. Mikhailov
221. Advanced Mathematics for Engineers: Special Courses by A.D. Myskis
222. Introductory Mathematics for Engineers: Lectures in Higher Mathematics by A.D. Myskis
223. Elementary Mathematics: A Review Course by V.V. Zaitsev, V.V. Ryzhkov and M.I. Skanavi
224. Basic Analysis: Introduction to Real Analysis by Jiri Lebl
225. Algorithmic Graph Theory by David Joyner;Minh Van Nguyen;Dr Nathann Cohen
226. Higher Mathematics In Problems And Exercises - Part 1 by P.E. Danko; A.G. Popov; T.Ya. Kozhevnikova
227. Higher Mathematics In Problems And Exercises Part 2 by P.E. Danko; A.G. Popov; T.Ya. Kozhevnikova
228. Applied Finite Mathematics by Rupinder Sekhon
229. Systems of Linear Inequalities (Little Mathematics Library) by A. S. Solodovnikov.
230. Godels Incompleteness Theorem (Little Mathematics Library) by V. A. Uspensky
231. Commutative Normed Rings by I. Gelfand; D. Raikov; G. Shilov
232. Solid Analytical Geometry And Determinants by Dresden, Arnold
233. The Monte-Carlo Method (Little Mathematics Library) by I. M. Sobol
234. Solving Equations in Integers (Little Mathematics Library) by A. O. Gelfond
235. The Fundamental Theorem of Arithmetic (Little Mathematics Library) by L. A. Kaluzhnin
236. Areas and Logarithms (Little Mathematics Library) by A. I. Markushevich
237. Plotting Graphs (Little Mathematics Library) by G. E. Shilov
238. Fascinating Fractions (Little Mathematics Library) by N. M. Beskin
239. Complex Numbers and Conformal Mappings (Little Mathematics Library) by A. I. Markushevich
240. Elements of Game Theory (Little Mathematics Library) by Ye. S. Venttsel
241. Method of Coordinates (Little Mathematics Library) by A. S. Smogorzhevsky
242. Dividing A Line Segment in Given Ratio (Little Mathematics Library) by N. M. Beskin
243. Remarkable Curves (Little Mathematics Library) by A. I. Markushevich
244. Algebraic Equations of Arbitrary Degree (Little Mathematics Library) by A. G. Kurosh
245. Mathematical Analysis ( Advanced Topics) - Part 2 - Application Of Some Methods Of Mathematical And Functional Analysis by A. V. Efimov; Yu. G. Zolotarev; V. M. Terpigoreva
246. Elements Of Higher Mathematics - For High School Students by D. K. Faddeev; M. S. Nikulin; I. F. Sokolovsky
247. Analytic Geometry by V. A. Ilyin; E. G. Poznyak
248. Higher Geometry by Efimov, N. V.
249. Computational Mathematics - Worked Examples and Problems With Elements of Theory by N.V. Kopchenova; I. A. Maron
250. Higher Mathematics by V. S. Shipachev
251. The Matrix Cookbook by Kaare Brandt Petersen and Michael Syskind Pedersen
252. Straight Lines and Curves by N. Vasilyev; V. Gutenmacher
253. Measure, Integration & Real Analysis by Sheldon Axler
254. Combinatorics by Joy Morris
255. Algebra And Elements Of Mathematical Analyis by A.G. Mordkovich
256. Differential And Integral Calculus ( Higher Mathematics Vol. 2) by Ya.S. Bugrov; S.M. Nikolsky
257. Linear Algebra by Benjamin McKay
258. Functions Of A Complex Variable, Operational Calculus, and Stability Theory (Problems and Exercises) by M.L. Krasnov; A.I. Kiselev; G.I. Makarenko
259. Problems And Exercises In The Calculus Of Variations by M.L. Krasnov; G. I. Makarenko; A.I. Kiselev
260. Plane Trigonometry by Dresden, Arnold
261. Computational Methods Of Linear Algebra by V. N. Faddeeva
262. Linear Algebra Done Right by Sheldon Axler
263. Algebra Can Be Fun by Yakov Perelman
264. Linear Algebra by Jim Hefferon
265. A First Course in Linear Algebra by Kenneth Kuttler and the Lyryx Learning team
266. Linear Algebra Done Wrong by Sergei Treil
267. Elements of Abstract and Linear Algebra by Edwin H. Connell
268. Categories and Groupoids by P. J. Higgins
269. Notes on Combinatorics by Peter J. Cameron
270. Lecture Notes on Operator Algebras by John M. Erdman
271. Basic Concepts of Mathematics by Elias Zakon
272. forall x: Calgary (An Introduction to Formal Logic) by Open Logic Project
273. Proofs and Concepts: the fundamentals of abstract mathematics by Dave Witte Morris and Joy Morris
274. Logic and Proof by Jeremy Avigad and collaborators
275. Sets, Logic, Computation by Open Logic Project
276. An Introduction to Set Theory by William A. R. Weiss
277. Proofs and Types by Jean-Yves Girard, Yves Lafont, and Paul Taylor
278. Intuitionistic Type Theory by Per Martin-Lof
279. Homotopy Type Theory by The Univalent Foundations Program
280. Introduction to Category Theory and Categorical Logic by Thomas Streicher
281. Category Theory for Computing Science by Michael Barr and Charles Wells
282. Basic Concepts of Enriched Category Theory by G. M. Kelly
283. Abstract and Concrete Categories: The Joy of Cats by Jiri Adamek, Horst Herrlich, and George E. Strecker
284. Category Theory in Context by Emily Riehl
285. Notes on Finite Group Theory by Peter J. Cameron
286. Foundations of Module and Ring Theory by Robert Wisbauer
287. Fields and Galois Theory by J. S. Milne
288. Discrete Mathematics: An Open Introduction by Oscar Levin
289. Lecture Notes in Real Analysis by Eric Sawyer
290. Modern Real Analysis by William P. Ziemer, with contributions by Monica Torres
291. An Introduction to Functional Analysis
292. Functional Analysis: Lecture Notes by Jeffrey Schenker
293. Ordinary Differential Equation by Alexander Grigor'yan
294. Elementary Differential Equations by William F. Trench
295. Elementary Differential Equations With Boundary Value Problems by William F. Trench
296. Notes on Diffy Qs: Differential Equations for Engineers by Jiri Lebl
297. Notes on Partial Differential Equations by John K. Hunter
298. Introduction to Numerical Analysis by Doron Levy
299. Numerical Analysis (Second Edition) by L. Ridgway Scott
300. Lectures in Basic Computational Numerical Analysis by James M. McDonough
301. Fundamentals of Numerical Computation by Tobin A. Driscoll and Richard J. Braun
302. Toposes, Triples and Theories by Michael Barr and Charles Wells
303. Linear algebra notes by David A. Santos

Our mathematics books at russianmathbooks.com (commercial)

• Kiselev's Arithmetic.
• Berezanskaya: Arithmetic - Problems and Exercises.
• Kiselev's Algebra, Part I.
• Kiselev's Algebra, Part II.

More of our mathematics editions.

Machine_learning

1. Machine Learning by Tom Mitchell, Carnegie Mellon.
2. Pattern recognition and machine learning by Christopher Bishop (Microsoft Research)
3. An introduction to statistical learning by James, Witten, Hastie, Tibshirani, and Taylor
4. Probabilistic Machine Learning: An Introduction by Kevin Patrick Murphy
5. Probabilistic Machine Learning: Advanced Topics by Kevin Patrick Murphy
6. Understanding Machine Learning: From Theory to Algorithms by Shai Shalev-Shwartz and Shai Ben-David
7. Foundations of Machine Learning by Mehryar Mohri, Afshin Rostamizadeh, and Ameet Talwalkar
8. Information Theory, Inference, and Learning Algorithms by David J. C. MacKay
9. Foundations of Data Science by Avrim Blum, John Hopcroft, and Ravindran Kannan
10. Learning Theory from First Principles by Francis Bach

Physics

1. Problems in General Physics by Irodov
2. Fundamental Laws of Mechanics by Irodov
3. Handbook Of Physics by Yavorsky and Detlaf
4. Problems In General Physics by V. S. Wolkenstein
5. A Collection Of Questions And Problems In Physics by Sens
6. Basic Laws Of Electromagnetism by I. E. Irodov
7. Fundamentals of physics by Yavorski and Pinsky
8. Collected Problems In Physics by S. Kozel; E. Rashda; S. Slavatinskii 🔥🔥🔥🔥🔥
9. General Methods For Solving Physics Problems by B. S. Beliko
10. Basic Electricity And Electronics by V. S. Popov; S. A. Nikolaev
11. Selected Problems On Physics by S. P. Myasnikov, T. N. Osanova
12. Collection Of Problems In Classical Mechanics by G. L. Kotkin; V. G. Serbo
13. Lectures in analytical mechanics by Felix Gantmacher 🔥🔥🔥🔥🔥
14. Physics for Everyone - Book 1 - Physical Bodies by L. D. Landau, A. I. Kitaigorodsky
15. Elementary textbook on physics, Volumes I-III by Landsberg
16. Problems in undergraduate physics by Strelkov and Yakovlev
17. Physics - a general course, Volumes I-III by Savelyev 🔥🔥🔥🔥🔥
18. Electricity And Magnetism by A. N. Matveev
19. Questions And Answers In School Physics by L. V. Tarasov, A. Tarasova
20. Theoretical Mechanics by N. G. Chetaev
21. Basic Concepts Of Quantum Mechanics by L. V. Tarasov
22. Berkeley physics course, Part I, Mechanics by Charles Kittel
23. Berkeley physics course, Part II Electricity and Magnetism by Charles Kittel
24. Lectures In Analytical Mechanics by F. Gantmacher
25. Higher Mathematics for Beginners and Its Application to Physics – Yakov Zeldovich (1973)
26. Equations of Mathematical Physics – V. S. Vladimirov (1971)
27. A Collection of Problems on the Equations of Mathematical Physics – A. V. Bitsadze & D. F. Kalinichenko (1981)
28. Generalized Functions in Mathematical Physics – V. S. Vladimirov (1979)
29. Fun with Maths and Physics – Yakov Perelman → See our Entertaining Arithmetic translation (commercial, russianmathbooks.com).
30. Lectures In Analytical Mechanics by F. Gantmacher 🔥🔥🔥🔥🔥
31. Collected Problems in Physics S. Kozel; E. Rashda; S. Slavatinskii 🔥🔥🔥🔥🔥
32. Physics In Your Kitchen Lab by Kikoin
33. Collected papers of Landau 🔥🔥🔥🔥🔥
34. Science for Everyone – Aptitude Test Problems in Physics edited by Krotov
35. Problems In Elementary Physics by B. Bukhovtsev, V. Krivchenkov, G. Myakishev, and V. Shalnov
36. The Feynman Lectures on Physics 🔥🔥🔥🔥🔥
37. Mechanics And Theory Of Relativity by A. N. Matveev
38. Electrodynamics by Yu. V. Novozhilov, Yu. A. Yappa.
39. Laser Physics by L. V. Tarasov
40. Key Problems of Physics and Astrophysics by V. L. Ginzburg
41. A Physicist's ABC of Plasma Physics by L. A. Artsimovich
42. Chaos: Classical and Quantum by Predrag Cvitanovic and collaborators

Probability

1. Probability : a survey of the mathematical theory by John Lamperti 🔥🔥🔥🔥🔥
2. Probabilistic method by Alon and Spencer 🔥🔥🔥🔥🔥
3. An Introduction To Probability Theory and Its Applications volume 1 by William Feller
4. Lady Luck : the theory of probability
5. Probability and Statistics
6. The Calculus of Probabilities (1900) by A.A. Markov. Our edition (commercial), available at russianmathbooks.com.
7. Introduction To Mathematical Probability by J.V. Unspenskii
8. Probability and Stochastic Processes with Applications by Oliver Knill
9. Introduction to Probability by Charles M. Grinstead and J. Laurie Snell
10. Introduction to Probability for Data Science by Stanley H. Chan
11. Bayesian Data Analysis by Andrew Gelman and coauthors
12. Computer Age Statistical Inference: Algorithms, Evidence and Data Science by Bradley Efron and Trevor Hastie
13. Lecture Notes on Statistical Theory by Ryan Martin
14. Lectures on Statistics by William G. Faris
15. Lectures on Algebraic Statistics by Mathias Drton, Bernd Sturmfels, and Seth Sullivant
16. An Introduction to Stochastic Processes in Continuous Time by Flora Spieksma, adapting a text by Harry van Zanten
17. Markov Chains and Mixing Times by David A. Levin and Yuval Peres, with Elizabeth L. Wilmer
18. An Introduction to Measure Theory by Terence Tao
19. Applied Stochastic Processes in science and engineering by Matt Scott

Econometrics

1. Basic Econometrics by Riccardo (Jack) Lucchetti (2024)
2. A gentle introduction to matrix calculus by Jan Magnus 🔥🔥🔥🔥🔥
3. On the concept of matrix derivative by Jan Magnus 🔥🔥🔥🔥🔥

Optimization

1. Algorithms for optimization, MIT book by Mykel Kochenderfer, Tim Wheeler
2. Lectures on Modern Convex Optimization by Arkadii Nemirovski
3. Lecture Notes on Optimization
4. An introduction to optimization on smooth manifolds by Nicolas Boumal
5. Convex Optimization by Stephen Boyd and Lieven Vandenberghe

Information_theory

1. A first course in information theory by Raymond Yeung, Chinese University of Hong Kong
2. Essential Coding Theory (book draft) by Venkatesan Guruswami, Atri Rudra, and Madhu Sudan

Signal_processing

1. The Fourier Transform and its Applications
2. Basic Vector Space Methods in Signal and Systems Theory by C. Sidney Burrus
3. Introduction to Signal Processing by Sophocles J. Orfanidis
4. Foundations of Signal Processing by Martin Vetterli, Jelena Kovacevic, and Vivek K. Goyal
5. An Introduction to Statistical Signal Processing by Robert M. Gray and Lee D. Davisson

History

1. Sonia Kovalevsky : biography and autobiography
2. Sonya Kovalevsky - her recollections of childhood
3. games, gods and gambling
4. History of Mathematics
5. The Collected Mathematical Papers of James Joseph Sylvester: Volume IV by James Joseph Sylvester
6. The Collected Mathematical Papers of James Joseph Sylvester: Volume 2 by James Joseph Sylvester
7. Euclid's Elements by Euclid; web edition by David E. Joyce

Why Soviet Mathematics Education Was Different

During the 20th century the USSR produced an extraordinary number of mathematicians, physicists, and engineers.

Many of them were trained using textbooks designed with a radically different philosophy from modern textbooks:

• focus on deep conceptual understanding
• minimal distractions
• emphasis on logical reasoning
• strong problem-solving culture

Books like Kiselev's Arithmetic played a central role in this tradition.

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Support This Project

You can support this free collection by buying our English editions of classical Russian mathematics books at russianmathbooks.com, published by Northern Star Academic Press.

Publisher catalogue | Mathematics bundles

More about my work:

valeriy.ai