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 |
Isaak M. Jaglom |
Lidia I. Golovina 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
Individual evidence
- ^ Entry in the German National Library