README
Awesome Math Books
β If you find this repository useful, please consider starring it.
A curated collection of some of the best mathematics books ever written β spanning classical foundations, probability, analysis, geometry, and problem-solving texts used by mathematicians, scientists, engineers, and AI researchers.
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π Complete catalog of faithful English translations from original Russian editions: russianmathbooks.com β Northern Star Academic Press.
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The goal of this repository is simple:
β’ highlight timeless mathematical books
β’ avoid modern textbook bloat
β’ emphasize logical thinking and problem solving
Many of the greatest scientists and mathematicians were trained using books very different from modern textbooks.
This repository highlights those works.
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Featured Book
Kiselev's Arithmetic β A.P. Kiselev
The legendary mathematics textbook that trained generations of scientists in Russia, the USSR, and China.
For more than 125 years, Kiselev's books were among the most widely used mathematics textbooks in the world.
Over 80 million copies were printed.
The book is famous for its:
β’ crystal clear logical explanations
β’ rigorous yet intuitive approach
β’ focus on true mathematical understanding
For the first time ever, the book is now available in a modern English translation.
All formats and full details: russianmathbooks.com/books/kiselev-arithmetic/
- Hardcover collector's edition: Amazon
- Paperback: Amazon
- Ebook (PDF, Gumroad): valeman.gumroad.com/l/arithmetic
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Kiselev's Algebra, Parts I and II β A.P. Kiselev
The legendary Russian algebra textbook (first published 1888) β the official algebra textbook in Russian and USSR schools for over 70 years, used by tens of millions of students. Now available in English for the first time as a faithful translation from the original Russian edition.
Part I (Grades 6β8, ages 12β15): 6 chapters, 126 sections, 239 exercises. Covers relative numbers and operations, monomials, polynomials and algebraic fractions, ratios and proportions, equations of the first degree (one and two unknowns), systems of equations, powers and roots, and quadratic equations.
Part II (Grades 8β10, ages 14β17): 12 chapters + Supplements, 187 sections. Covers functions and their graphical representation, quadratic equations and systems, inequalities, approximate calculations, powers and roots with arbitrary exponents, logarithms, progressions, complex numbers, algebraic equations, number theory, binomial theorem, and continued fractions.
Every rule is derived, not dictated. Every method is built from a real problem. The structure: define β prove β apply β practise.
Full details: Part I Β· Part II
- Part I (available now): russianmathbooks.com Β· Gumroad
- Part II: russianmathbooks.com Β· Gumroad
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Probability Classic
The Calculus of Probabilities (1900) β A.A. Markov
The foundational probability text written by the father of Markov chains.
This book laid the groundwork for:
β’ stochastic processes
β’ Markov chains
β’ probabilistic modeling
β’ modern machine learning theory
This is the first ever English translation of Markov's original work.
Full details: russianmathbooks.com/books/markov-calculus-of-probabilities/
Direct purchase: Gumroad
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Classical Mathematics Bundle
Multiple curriculum bundles available β Kiselev's Complete School Mathematics, the full Kiselev curriculum (Arithmetic + Algebra I + II), and the Arithmetic Masters Collection.
All bundles: russianmathbooks.com/bundles/
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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:
β’ focus on deep conceptual understanding
β’ minimal distractions
β’ emphasis on logical reasoning
β’ strong problem-solving culture
Books like Kiselev's Arithmetic played a central role in this tradition.
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Support This Project
If you find this repository useful, you can support the project by checking out my translations of classical Russian mathematics textbooks at russianmathbooks.com β Northern Star Academic Press.
More about my work:
https://valeriy.ai
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[Table of Contents]()
* Math
* Machine_learning
* Physics
* Econometrics
* Optimization
* Information_theory
* Signal_processing
* History
* Probabiltity
Math
1. Probability - First Steps by E.S. Wentzel π₯π₯π₯π₯π₯
2. Applied Problems in Probability Theory by Wentzel and Ovcharov
3. Principles of Mathematical Analysis by Walter Rudin
4. What is mathemaricsv2.pdf) by Richard Courand and Herbert Robbins
5. Introduction to matrix analysis by Richard Bellman
6. Combinatorial mathematics for recreation Vilenkin
7. Challenhing mathematical problems with elementary solutions, Volume I, Combinatorial Analysis and Probability Theory Yaglom & Yaglom
8. Collection ofproblems in probability theory by Meshalkin
9. Algebra by Gelfand and Shen
10. Kolmogorov Complexity and Algorirhmic Randomness by Shen, Uspensky, Vereschagin
11. Mathematical Analysis β 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) β 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 β Elementary Mathematics by M. Vygodsky
16. Foundations of The Theory of Probability by A.N. Kolmogorov π₯π₯π₯π₯π₯
17. Operations research pdf by Elena Wentzel
18. Measure, Lebesgue Integrals and Hilbert Space β Kolmogorov and Fomin by Kolmorogov and Fomin pdf
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 β 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 π₯π₯π₯π₯π₯
31. Fundamentals of Linear Algebra and Analytical Geometry pdf by Bugrov, Nikolsky
32. Higher Mathematics ( Part 1) β 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
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 β 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 π₯π₯π₯π₯π₯
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.) π₯π₯π₯π₯π₯
67. High School Mathematics Part 2 by G. N. Yakovlev ( Ed.) π₯π₯π₯π₯π₯
68. Solving Problems In Algebra And Trigonometry
by V. Litvinenko; A. Mordkovich
69. Fundamentals Of Mathematical Analysis, Part I](https://archive.org/details/v.-a.-ilyin-e.-g.-poznyak-fundamentals-of-mathematical-analysis-part-1-mir-1982) 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
78. Theory of matrice, Volume I by Gantmacher π₯π₯π₯π₯π₯
79. Theory of matrice, Volume II by Gantmacher π₯π₯π₯π₯π₯
80. Elements Of Applied Mathematics YA. B. Zeldovich, A. D. Myskis
81. Computational Mathematics by B. P. Demidovich; I. A. Maron
82. A Course Of Mathematical Analysis by A. Ya. Khinchin π₯π₯π₯π₯π₯
83. Geometric Transformations 1 by I. M. Yaglom
84. Problems In Plane Geometry ( Science For Everyone)
by I. F. Sharygin
85. Trigonometric Functions - Problem Solving Approach
by A. Panchishkin, E. Shavgulidze
86. Measure And Derivative A Unified Approach by G.E. Shilov; B.L. Gurevich
87. Higher Algebra by A. Kurosh
88. Mathematical Logic by Yu. L. Ershov, E. A. Palyutin
89. Problems And Exercises In Integral Equations
by M. Krasnov, A. Kiselev, G. Makarenko
91. Continued Fractions by A. Ya. Khinchin
92. Elements Of Number Theory by I. M. Vinogradov
93. Vector Analysis by M.L. Krasnov; A.I. Kiselev; G.I. Makarenko.
94. Differentiation Explained ( Little Mathematics Library) by V. G. Boltyansky
95. Generalized Functions Vol 1 Properties And Operations by I. M. Gelfand; G. E. Shilov
96. Geometry by E. Z. Shuvalova
97. Problems In Elementary Mathematics by Lidsky, Ovsyannikov, Tuliakov and Shabunin
99. 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
100. Introduction To Topology
by Yu. Borisovich; N. Bliznyakov; Ya. Izrailevich; T. Fomenko
101. Challenging Mathematical Problems With Elementary Solutions Vol. 1 by A. M. Yaglom; I. M. Yaglom
102. mathematics can be fun-1 by Yakov Perelman β See also the new English translation of his Entertaining Arithmetic.
103. Worked Problems In Applied Mathematics by N. N. Lebedev; I. P. Skalskaya; Y. S. Uflyand pdf
104. Selected Problems On Discrete Mathematics by G. P. Gavrilov; A. A. Sapozhenko
105. Mistakes in Geometric Proofs by Dubnov
106. Mathematical Problems And Puzzles from the Polish Mathematical Olympiads (Popular Lectures in Mathematics Vol 10) by Straszewicz
107. One Hundred Problems In Elementary Mathematics (Popular Lectures in Mathematics Vol. 7) by Steinhaus
108. Mathematical Foundations of Statistical Mechanics by A. I. Khinchin.
109. A Problem Book In Algebra by Krechmar
110. Algebra by Serg Lange
111. Interpretations Of Probability by Khrennikov (2003)
112. Applied Probability by Paul Pfeiffer
113. Introduction to probability by John Freund
114. Probability by Leo Breiman
115. A Treatise of Probability by John Maynard Keynes
116. Geometrical probability by Kendall & Moran
117. Problems In Linear Algebra by I. V. Proskuryakov
118. Linear Algebra by V. V. Voyevodin
119. Linear algebra with applications by Keith Nicholson
120. Calculus by Spivak
121. Introductory Calculus Textbook Collection by Michael Spivak
122. MATHEMATICS FOR MACHINE LEARNING by Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong
123. Fundamentals Of Linear Algebra And Analytical Geometry by Bugrov and Nikolsky
124. An Algebra for Secondary Schools by Earle Raymond Hedrick (1908)
125. Linear Algebra with Elements of Analytic Geometry by A.S. Solodovnikov, G.A. Toropova
126. Pure mathematics, Part I by Frank Gerrish
127. Pure mathematics, Part II by Frank Gerrish
128. Calculus of a Single Variable
129. The Colossal Book Of Mathematics by Martin Gardner
130. Calculus Made Easy by Silvanus P. Thompson
131. Book Of Proof by Richard H. Hammack
132. Problems In Higher Mathematics by V. P. Minorsky
133. Complete solutions manual for Stewart's calculus
134. Methods Of Solving Problems In High School Mathematics by A. G. Tsypkin; A. I. Pinsky
135. Trigonometric Functions - a problem solving approach by Panchishkin and Shavgulidze
136. Vector Analysis by M.L. Krasnov; A.I. Kiselev; G.I. Makarenko.
137. 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
138. 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
139. Introductory Mathematics Books by Israel M. Gelfand - Collection
by Israel M. Gelfand
140. Problems in the calculus, with formulas and suggestions by Leib, David D. (David Deitch) (1915)
141. Linear Algebra A Course for Physicists and Engineers by Arak M. Mathai, Hans J. Haubold
142. A history of mathematics](https://archive.org/details/historyofmathema0000boye_v7s4) by Boyer, Carl
143. Fourier series by Tolstov
144. Problems In Elementary Mathematics For Home Study by N. Antonov; M. Vygodsky; V. Nikitin; A. Sankin
145. Introduction to algebra by Kostrikin, A. I. (AlekseΔ Ivanovich)
146. Selected Problems And Theorems In Elementary Mathematics by D. O. Shklyarsky, N. N. Chentsov, I. M. Yaglom
147. Introduction To Physics ( 2nd Ed.)
by A. Kitaigorodsky
148. Problems in geometry by Modenov
149. A Brief Course In Analytic Geometry by Yefimov
150. Lectures On The Theory Of Functions Of A Complex Variable by Yu. V. Sidorov, M. V. Fedoryuk, M. I. Shabunin
151. Problems in Mathematical Statistics by G. I. Ivchenko, Yu. I. Medvedev, A. V. Chistyakov
152. Lectures In Geometry Semester I Analytic Geometry by M. Postnikov
153. Lectures In Geometry: Semester II - Linear Algebra And Differential Geometry by M. Postnikov
154. Elementary real and complex analysis by Shilov
155. 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
156. Optimal control by Alekseev, Tikhomirov and Fomin.
157. An Introduction To Information Theory by Reza, Fazlollah M.
158. The Essence of Mathematics Through Elementary Problems by Alexandre Borovik and Tony Gardiner;
159. Advanced Problems in Mathematics Preparing for University by Stephen Siklos
160. Concrete Mathematics by Donald Knuth
161. Sequences, Combinations, Limits (Library of School Mathematics by S.I. Gelfand; M.L. Gerver; N.N. Konstantinov; A. G. Kushnirenko; A.A. Kirillov
162. Problems In Differential Geometry And Topology
by A. S. Mishchenko, Yu. P. Solovyev, A. T. Fomenko
163. 250 problems in elementary number theory by SierpiΕski, WacΕaw, 1882-)
164. Theory Of Markov Processes by Dynkin
165. Markov processes theorems and problems Dynkin and Yushkevich
166. 166. Problems In Descriptive Geometry Arustamov
167. Mathematics Its Contents Methods And Meaning Vol 1 2 and 3
by Aleksandrov, Kolmogorov and Lavren'iev
168. Solving Problems In Algebra And Trigonometry by V. Litvinenko; A. Mordkovich
169. Linear Algebra Problem Book by Paul Halmos
170. Higher Mathematics for Beginners and Its Application to Physics β Yakov Zeldovich (1973)
171. A Course Of Mathematical Analysis Vol 1 by S. M. Nikolsky (MIPT core mathematical analysis textbook) π₯π₯π₯π₯π₯
172. [[A Course Of Mathematical Analysis Vol 1]](https://archive.org/details/nikolsky-a-course-of-mathematical-analysis-vol-2-mir) by by S. M. Nikolsky (MIPT core mathematical analysis textbook) π₯π₯π₯π₯π₯
173. Problems In Elementary Mathematics) by V. Lidsky, L. Ovsyannikov, A. Tuliakov and M. Shabunin. A problem-solving companion that ranges across calculus, algebra, and geometry. Offers clear solutions and is perfect for deepening mathematical intuition.
174. [A Course of Higher Mathematics β V.I. Smirnov (Vol. 1β5)](https://archive.org/details/ACourseOfHigherMathematics) One of the most rigorous and comprehensive advanced math textbooks. Topics include analysis, differential equations, and complex function theory. Excellent for math majors and graduate students.
175. The Man Who Counted β Malba Tahan) A mathematical Arabian Nights: enjoy fables packed with number theory, logic, and elegant problem-solving.
176. The Universal History of Numbers β Georges Ifrah A global, epic journey through how human beings invented and evolved number systemsβbrilliant and sweeping.
177. Zero: The Biography of a Dangerous Idea β Charles Seife
A deep dive into the philosophical and mathematical impact of the number zero, from ancient India to modern physics.
178. A History of Pi β Petr Beckmann
A quirky, passionate account of Ο through the agesβthis cult classic blends math with snark and drama.
179. π The Triumph of Numbers β I. B. Cohen
A concise but rich account of how numerical thinking reshaped economics, science, and society.
180. 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
181. Mathematical Analysis For School Students by Lev Pontryagin
182. Elementary Mathematics ( Selected Topics And Problem Solving) by G. Dorofeev; M. Potapov; N. Rozov
183. Worked Problems In Applied Mathematics by N. N. Lebedev; I. P. Skalskaya; Y. S. Uflyand
184. Apostol's Calculus,Volume 1, Caltech core math textbook by Tom M. Apostol
185. Apostol's Calculus,Volume 2, Caltech core math textbook by Tom M. Apostol
186. General Topology by John Kelley
187. A history of probability and statistics and their applications before 1750 by Andres Hald
188. The rise of statistical thinking, 1820-1900
189. Problems In Plane Geometry by Sharygin
190. Probability Theory And Mathematical Statistics by Klimov
191. Love And Mathematics Sofya Kovalevskaya by Pelageya Kochina
192. Probability : a survey of the mathematical theory by John Lamperti
193. Probabilitic method by Alon and Spencer
194. An Introduction to The Theory of Numbers by Hardy and Wright (1938)
195. Introduction to number theory by Morten Risager
196. Course of pure mathematics by Hardy (1921)
197. Mishchenko, Fomenko A Course Of Differential Geometry And Topology
198. Number systems by S.V. Fomin
199. Problems In Mathematical Analysis the iconic book elite Chinese students called Jimmy.
200. Trigonometry by Gelfand and Saul π₯π₯π₯π₯π₯
201. Algebra by Gelfand and Shen π₯π₯π₯π₯π₯
202. Elements Of Applied Mathematics by Zeldovich and Myskis
203. Higher Math for Beginners by Zeldovich and Yaglom
204. Mathematical Analysis For Engineers Vol 1 by M. Krasnov; A. Kiselev; G. Makarenko; E. Shikin
205. Mathematical Analysis For Engineers Vol 2 by M. Krasnov; A. Kiselev; G. Makarenko; E. Shikin
206. Limit Distributions For Sums Of Independent Random Variables by B. V. Gnedenko; A. N. Kolmogorov π₯π₯π₯π₯π₯
207. Random Walks by E. B. Dynkin; V. A. Uspenskii
208. Three Pearls Of Number Theory by A. Y. Khinchin π₯π₯π₯π₯π₯
209. Eight Lectures on Mathematical Analysis by A. Ya. Khinchin
210. Mathematical Foundations of Quantum Statistics by A. Ya. Khinchin
211. Mathematical Problems: An Anthology (Pocket Mathematical Library) by E. B. Dynkin; S. A. Molchanov et al.
212. Generalized Functions Vol 2 Spaces Of Fundamental And Generalized Functions by I. M. Gelfand; G. E. Shilov
213. Generalized Functions Vol 3 Theory Of Differential Equations by I. M. Gelfand; G. E. Shilov
214. Generalized Functions Vol 4 Applications Of Harmonic Analysis by I. M. Gelfand; N. Ya. Vilenkin
215.Generalized Functions Vol 5 Integral Geometry And Representation Theory by I. M. Gelfand; M. I. Graev; N. Ya. Vilenkin
216. Calculus of Rational Functions (Little Mathematics Library) by G. E. Shilov
Arithmetic by A.P. Kiselev (first modern English translation β one of the bestselling math textbooks ever written, 125+ years in print) π₯π₯π₯π₯π₯ Β· Buy on Gumroad <a href="https://russianmathbooks.com/books/kiselev-arithmetic/" target="_blank"><img src="https://img.shields.io/badge/Get_the_Book-Arithmetic_by_Kiselev-orange?style=for-the-badge" alt="Get Arithmetic by Kiselev"></a>
Algebra, Part I by A.P. Kiselev (first modern English translation β the official Soviet algebra textbook for decades, 126 sections, 6 chapters) π₯π₯π₯π₯π₯ Β· Buy on Gumroad <a href="https://russianmathbooks.com/books/kiselev-algebra-part-i/" target="_blank"><img src="https://img.shields.io/badge/Get_the_Book-Algebra_by_Kiselev-orange?style=for-the-badge" alt="Get Algebra by Kiselev"></a>
Algebra, Part II by A.P. Kiselev (12 chapters plus Supplements, 187 sections: functions, quadratic systems, inequalities, logarithms, progressions, complex numbers, binomial theorem, continued fractions)
Planimetry by A.P. Kiselev (proof-based Euclidean geometry β 6 chapters, 269 sections: basic concepts, triangles, circles, similarity, regular polygons, areas)
Stereometry by A.P. Kiselev (three-dimensional geometry: polyhedra, Platonic solids, cylinders, cones, the ball, Cavalieri's principle)
Calculus by A.P. Kiselev (first complete English translation β single-variable differential and integral calculus, proof-based, with classical applications)
1001 Problems in Mental Arithmetic by S.A. Rachinsky (the village schoolteacher whose pupils appear in Bogdanov-Belsky's 1895 painting "Mental Arithmetic")
Arithmetic by A. Malinin & K. Burenin (Imperial Russian arithmetic textbook β 11 chapters, 301 sections covering numeration, operations, divisibility, fractions, ratios, proportions, percentage, interest, Diophantine problems)
Entertaining Arithmetic by Ya.I. Perelman (the classic of Russian popular mathematics β puzzles, riddles, and curiosities)
Systematic Course of Arithmetic by A.P. Kiselev (the definitive expanded arithmetic β 264 articles in 7 divisions, with Euclid's proof of the infinitude of primes and limits of sequences presented at school level)
221. Problems and Exercises in Elementary Algebra by A.P. Kiselev (the companion problem collection to Kiselev's Algebra β hundreds of sequenced problems mirroring the chapter structure of Parts I and II)
222. Collection of Problems in Geometry, Part I: Planimetry by N.A. Rybkin (the problem set used alongside Kiselev's geometry for over a century β 970 problems in 16 sections, first complete English translation)
223. Arithmetic β Problems and Exercises by E.S. Berezanskaya (the iconic companion to Kiselev's Arithmetic β 2,354 problems in 8 chapters, used side-by-side in Russian classrooms for 70+ years)
224. Algebra by A.N. Barsukov (the Soviet school's standard algebra β ten editions, ~10 million copies; includes the slide-rule chapter almost never found in Western texts)
225. Solutions to Rachinsky's 1001 Problems by V. Manokhin (every problem fully worked, with 12 corrections to errors in the original 1899 answer key)
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
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 π₯π₯π₯π₯π₯
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 π₯π₯π₯π₯π₯
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 π₯π₯π₯π₯π₯
18. Electricity And Magnetism by A. N. Matveev
19. Questions And Answers In School Physics by L. V. Tarasov, A. Tarasova
20. Theoretical Mechanicsby 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 β Yakov Zeldovich (1973)
26. Equations of Mathematical Physics β V. S. Vladimirov (1971)
27. A Collection of Problems on the Equations of Mathematical Physics β A. V. Bitsadze & D. F. Kalinichenko (1981)
28. Generalized Functions in Mathematical Physics β V. S. Vladimirov (1979)
29. Fun with Maths and Physics β Yakov Perelman β See Entertaining Arithmetic translation.
30. Lectures In Analytical Mechanics by F. Gantmacher π₯π₯π₯π₯π₯
31. Collected Problems in Physics S. Kozel; E. Rashda; S. Slavatinskii π₯π₯π₯π₯π₯
32. Physics In Your Kitchen Lab by Kikoin
33. Collected papers of Landau π₯π₯π₯π₯π₯
34. Science for Everyone β 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 π₯π₯π₯π₯π₯
Probability
1. Probability : a survey of the mathematical theory by John Lamperti π₯π₯π₯π₯π₯
2. Probabilitic method by Alon and Spencer π₯π₯π₯π₯π₯
3. An Introduction To Probability Theory and Its Applications volume 1 by by Feller William
4. Lady Luck : the theory of probability
5. Probability and Statistics
6. The Calculus of Probabilities (1900) by A.A. Markov (first-ever English translation of the foundational text by the father of Markov Chains) π₯π₯π₯π₯π₯ Β· Buy on Gumroad
<a href="https://russianmathbooks.com/books/markov-calculus-of-probabilities/" target="_blank"><img src="https://img.shields.io/badge/Get_the_Book-Markov's_Calculus_of_Probabilities-orange?style=for-the-badge" alt="Get Markov's Calculus of Probabilities"></a>
Econometrics
1. Basic Econometrics by Riccardo (Jack) Lucchetti (2024)
2. A gentle introduction to matrix calculus by Jan Magnus π₯π₯π₯π₯π₯
3. On the concept of matrix derivative by Jan Magnus π₯π₯π₯π₯π₯
Optimization
1. Algorithms for optimization, MIT book by Mykel Kochenderfer, Tim Wheeler
2. Lectures on Modern Convex Optimizaion by Arkadii Nemirovski
Information_theory
1. A first course in information theory by Raymond Yeung, Chinese Univeristy of Hong Kong
Signal_processing
1. The Fourier Transform and its Applications
History
1. Sonia Kovalevsky : biography and autobiography
2. Sonya Kovalevsky - her recollections of childhood
3. games, gods and gambling
4. History of Mathematics
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