University books in mathematics

University books for mathematics is a series of books that was published from 1953 to 1990 by Heinrich Grell , Karl Maruhn and Willi Rinow at Deutscher Verlag der Wissenschaften Berlin ( ISSN 0073-2842 ).  

The series has published works on both the fundamentals of mathematics and specialty areas . Well-known scientists are among the authors. In addition to books by German-speaking authors, translations from foreign languages ​​such as Russian, Polish, Hungarian, Romanian and French have been included. The target group were students and scientists of mathematics and related sciences.

From 1954 onwards, the small supplementary series was published ( ISSN  0439-2973 ), the majority of which were included in the mathematical student library .

Licensed editions of some of the titles have been published by Harri Deutsch Verlag , Frankfurt am Main, R. Oldenbourg Verlag , Munich, and Johann Ambrosius Barth Verlag , Leipzig.

Titles of university books in mathematics

No.	author	title	year	Remarks
1	Vladimir I. Smirnov	Higher Mathematics Course Part 1	1953	ISBN 3-326-00028-6  (16th ed., 1990)
2	Vladimir I. Smirnov	Higher Mathematics Course Part 2	1955	ISBN 3-326-00029-4  (17th edition, 1990)
3	Vladimir I. Smirnov	Higher Mathematics Course Part 3/1	1955	ISBN 3-326-00666-7  (12th edition, 1991)
4th	Vladimir I. Smirnov	Course of higher mathematics part 3/2	1955	ISBN 3-326-00047-2  (13th edition, 1987)
5	Vladimir I. Smirnov	Higher Mathematics Course Part 4	1958
5a	Vladimir I. Smirnov	Course of higher mathematics part 4/1	1988	ISBN 3-326-00366-8
5b	Vladimir I. Smirnov	Course of higher mathematics part 4/2	1989	ISBN 3-326-00367-6
6th	Vladimir I. Smirnov	Higher Mathematics Course Part 5	1962	ISBN 3-326-00667-5  (11th edition, 1991)
7th	Pawel S. Alexandrow Alexei I. Markuschewitsch Alexander J. Chintschin (Red.)	Encyclopedia of Elementary Mathematics Volume 1: Arithmetic	1954
8th	Pawel S. Alexandrow Alexei I. Markuschewitsch Alexander J. Chintschin (Red.)	Encyclopedia of Elementary Mathematics Volume 2: Algebra	1956
9	Pawel S. Alexandrow Alexei I. Markuschewitsch Alexander J. Chintschin (Red.)	Encyclopedia of Elementary Mathematics Volume 3: Analysis	1958
10	Pawel S. Alexandrow Alexei I. Markuschewitsch Alexander J. Chintschin (Red.)	Encyclopedia of Elementary Mathematics Volume 4: Geometry	1969
11	Pawel S. Alexandrow Alexei I. Markuschewitsch Alexander J. Chintschin (Red.)	Encyclopedia of Elementary Mathematics Volume 5: Geometry	1971
14th	Georgy P. Tolstov	Fourier series	1955
15th	Modest M. Smirnov	Exercises on the partial differential equations of mathematical physics	1955
16	Alexei I. Markushevich	Sketches on the history of analytical functions	1955
17th	Anatoly D. Myshkis	Linear differential equations with a trailing argument	1955
18th	Rudolf Kochendörffer	Introduction to Algebra	1955
19th	Leonid W. Kantorowitsch Vladimir I. Krylov	Approximate methods of higher analysis	1956
20th	Vyacheslav V. Stepanov	Differential equations textbook	1956
21st	Viktor D. Kupradze	Boundary value problems of vibration theory and integral equations	1956
22nd	Ivan M. Vinogradov	Elements of number theory	1955
23	Pavel S. Alexandrov	Introduction to set theory and the theory of real functions	1956
24	Isaak M. Jaglom Vladimir G. Boltjansky	Convex figures	1956
25th	Ivan I. Privalov	Boundary properties of analytical functions	1956
26th	Ott-Heinrich Keller	Analytical geometry and linear algebra	1957
27	Frigyes Riesz Béla Szőkefalvi-Nagy	Lectures on functional analysis	1956
28	André Lichnerowicz	Linear algebra and linear analysis	1956
29	Lew S. Pontryagin	Basic features of the combinatorial topology	1956
30th	Wilhelm Specht	Elementary proofs of the prime number theorems	1956
31	Gennady M. Golusin	Geometric function theory	1957
32	Nikolai M. Günter Rodion O. Kusmin	Collection of exercises for higher mathematics Volume 1	1957
33	Nikolai M. Günter Rodion O. Kusmin	Collection of exercises for higher mathematics Volume 2	1957	ISBN 3-326-00027-8  (8th edition, 1986)
34	Hans Reichardt	Lectures on vector and tensor calculus	1957
35	Alexander P. North	Elementary introduction to Lobachevskian geometry	1958
36	Felix R. Gantmacher	Matrix calculation part 1: general theory	1958
37	Felix R. Gantmacher	Matrix calculation part 2: Special questions and applications	1959
38	Werner Kramer	Descriptive geometry	1959
39	Andrei N. Tikhonov Alexander A. Samarsky	Differential equations in mathematical physics	1959
40	Marek Fisz	Probability calculation and mathematical statistics	1958	ISBN 3-326-00079-0  (11th edition, 1989)
41	Alexander O. Gelfond	Difference calculation	1958
42	Pyotr K. Raschewski	Riemannian geometry and tensor analysis	1959
43	Vladimir V. Golubev	Lectures on differential equations in complexes	1958
44	Edmund Landau	Diophantine equations with finitely many solutions	1959	new ed. by Arnold Walfisz
45	Mark A. Neumark	Normalized algebras	1959
46	Otakar Borůvka	Basics of groupoid and group theory	1960
47	Israel M. Gelfand Georgi J. Schilow	Generalized Functions (Distributions) Part 1: Generalized Functions and Computing with Them	1960
48	Israel M. Gelfand Georgi J. Schilow	Generalized Functions (Distributions) Part 2: Linear Topological Spaces. Spaces of basic functions and generalized functions	1962
49	Israel M. Gelfand Georgi J. Schilow	Generalized functions (distributions) Part 3: Some questions about the theory of differential equations	1964
50	Israel M. Gelfand Naum J. Wilenkin	Generalized Functions (Distributions) Part 4: Some Applications of Harmonic Analysis. Gelfandian space triple	1964
51	Nikolai V. Efimov	Higher geometry	1960
52	Hanfried Lenz	Fundamentals of elementary mathematics	1962
53	Grigory J. Ljubarski	Applications of group theory in physics	1962
54	Alfréd Rényi	Probability calculation. With an appendix on information theory	1962
55	Nikola Obreschkoff	Distribution and calculation of the zeros of real polynomials	1963
56	Fritz Rühs	Function theory	1962
57	Mark A. Neumark	Linear representations of the Lorentz group	1963
58	Solomon G. Michlin	Lectures on linear integral equations	1962
59	Gheorghe Marinescu	Espaces vectoriels pseudotopologiques et théorie des distributions	1963
60	Helmut Boseck	Introduction to the theory of linear vector spaces	1965
61	Gregor M. Fichtenholz	Differential and integral calculus Volume 1	1964	ISBN 3-326-00398-6  (13th edition, 1989)
62	Gregor M. Fichtenholz	Differential and integral calculus Volume 2	1964	ISBN 3-326-00399-4  (10th edition, 1990)
63	Gregor M. Fichtenholz	Differential and integral calculus Volume 3	1964	ISBN 3-335-00324-1  (12th edition, 1992)
64	Nicolae Dinculeanu	Vector measures	1966
65	Wolfgang Tutschke	Fundamentals of function theory	1967
66	Lothar Berg	Asymptotic representations and developments	1968
67	Otakar Borůvka	Linear differential transformations of the 2nd order	1967
68	Rolf Klötzler	Multi-dimensional calculus of variations	1969
69	Sergei N. Chernikov	Linear inequalities	1971
70	Ivan S. Beresin	Numerical methods part 1	1970
71	Ivan S. Beresin	Numerical methods part 2	1970
72	Sergei M. Ermakov	The Monte Carlo Method and Related Questions	1975
73	Manfred Herrmann Ludwig Stammler Ulrich Sterz	Geometry on varieties	1975
74	Vasily S. Vladimirov	Equations of mathematical physics	1972
75	Rolf Sulanke Peter Wintgen	Differential geometry and fiber bundle	1972
76	Hans Triebel	Higher Analysis	1972
77	Cabiria Andreian Cazacu	Theory of the functions of several complex variables	1975
78	Andrei N. Kolmogorov Sergei W. Fomin	Real functions and functional analysis	1975
79	Willi Rinow	Topology textbook	1975
80	Arno Langenbach	Monotonous potential operators in theory and application	1976
81	Kurt light white	Convex sets	1980
82	Wolfgang Tutschke	Partial complex differential equations in one and in several complex variables	1977
83	Vladimir I. Arnold	Ordinary differential equations	1979	ISBN 3-326-00637-3  (2nd edition, 1991) Table of contents
84	Arno Langenbach	Lectures on higher analysis	1984
85	Pavel S. Alexandrov	Introduction to set theory and general topology	1984
86	Felix R. Gantmacher	Matrix theory	1986	contents
87	Arkadi L. Onishchik Rolf Sulanke	Algebra and Geometry Part 1: An Introduction	1986	ISBN 3-326-00020-0
88	Arkadi L. Onishchik Rolf Sulanke	Algebra and Geometry Part 2: Modules and Algebras	1988	ISBN 3-326-00193-2 Table of Contents
90	Vladimir I. Arnold	Geometric methods in the theory of ordinary differential equations	1987	ISBN 3-326-00011-1 Table of Contents
91	Albert N. Shiryaev	probability	1988	ISBN 3-326-00195-9
92	Mark A. Neumark	Normalized algebras	1990	ISBN 3-326-00191-6 Table of Contents

Small supplementary series

Explanations:

Year: Indication of the year of inclusion in the small supplementary series. If the title has already been published, the edition from which the title was recorded and the year of the 1st edition are given.

Comments: Indication of the number of the title in the mathematical student library (MSB).

No.	author	title	year	Remarks
1	Nikolai N. Vorobyov	The Fibonacci Numbers	1971 (2nd edition, 1st edition 1954)	MSB 19
2	Pavel S. Alexandrov	Introduction to group theory	1965 (5th edition, 1st edition 1954)	MSB 1
3	Ilya S. Sominsky	The method of complete induction	1965 (6th edition, 1st edition 1954)	MSB 8
4th	Pavel P. Korovkin	Inequalities	1965 (4th edition, 1st edition 1954)	MSB 9
5	Alexander O. Gelfond	The resolution of equations in whole numbers (Diophantine equations)	1968 (4th edition, 1st edition 1954)	MSB 22
6th	Alexander G. Kurosch	Algebraic equations of any degree	1965 (3rd edition, 1st edition 1954)	MSB 21
8th	Boris W. Gnedenko Alexander J. Chintschin	Elementary introduction to probability theory	1965 (5th edition, 1st edition 1955)	MSB 10
9	Isidore P. Natanson	Simplest maximum and minimum tasks	1965 (3rd edition, 1st edition 1955)	MSB 15
10	Alexei I. Markushevich	Areas and logarithms	1965 (2nd edition, 1st edition 1955)	MSB 43
11	Alexei I. Markushevich	Recursive sequences	1968 (2nd edition, 1st edition 1955)	MSB 25
12	Isidore P. Natanson	Summing of infinitely small quantities. Introduction to integral calculus	1969 (3rd edition, 1st edition 1955)	MSB 16
13	Yevgeny B. Dynkin	Math Conversations Part 1: Multicolor Problems	1955	MSB 18
14th	Yevgeny B. Dynkin	Mathematical Conversations Part 2: Problems from number theory	1965 (2nd edition, 1st edition 1956)	MSB 20
15th	Yevgeny B. Dynkin Vladimir A. Uspensky	Mathematical conversations Part 3: Problems from the calculus of probability: random walks (Markoff chains)	1956	MSB 26
16	Alexei I. Markushevich	Complex numbers and conforming figures	1965 (2nd edition, 1st edition 1956)	MSB 42
17th	Igor R. Shafarevich	On the resolution of equations of a higher degree (Sturm's method)	1965 (2nd edition, 1st edition 1956)	MSB 23
18th	Vladimir G. Scherwatow	Hyperbolic functions	1969 (2nd edition)
19th	Jakov S. Dobnow	Errors in geometric proofs	1965 (2nd edition, 1st edition 1958)	MSB 17
20th	Emil Donath	The strange points and lines of the flat triangle	1968	MSB 44
21st	Tiberiu Roman	Regular and semi-regular polyhedra	1968	MSB 45 ISBN 3-326-00192-4  (2nd edition, 1986)
22nd	Ilya M. Sobol	The Monte Carlo method	1971	MSB 50
23	Lev A. Kaloujnine	Prime decomposition	1971	MSB 59
24	Nikolai N. Vorobyov	Divisibility criteria	1972	MSB 52
25th	Wladimir G. Boltjanski Israel Z. Gochberg	Theorems and problems of combinatorial geometry	1972	MSB 51
26th	Lidia I. Golovina Isaak M. Jaglom	Complete induction in geometry	1973	MSB 75
27	Aleksandr S. Solodovnikov	Systems of linear inequalities	1973	MSB 74
28	Isabella G. Bashmakova	Diophantine and Diophantine equations	1974	MSB 80
29	Herbert Pieper	Numbers from prime numbers. An introduction to number theory	1974	MSB 81
30th	Klaus-Dieter Drews	Linear systems of equations and linear optimization tasks	1975	MSB 89
31	Lothar Berg	Second order difference equations with applications	1979	MSB 97
32	Gerschon I. Drinfeld	Squaring the circle and transcending π	1980	MSB 101

Web links

• Title of the university books for mathematics in the OPAC of the German National Library

Individual evidence

1. ^ Entry in the German National Library