Basics of mathematical Sciences
The basic doctrines of the mathematical sciences (originally the basic doctrines of the mathematical sciences in individual presentations with special consideration of the areas of application ) are a traditional and respected series of mathematical monographs and textbooks published by Springer Verlag . They have been published since 1921 under the editorship of Richard Courant , who at that time was the advisor to Springer Verlag for the mathematics division and was backed by David Hilbert in Göttingen, the leading German mathematician. The transition of the leading role of the German mathematics publishers from Teubner to Springer is also reflected in the development. Because of the yellow color of its bindings, it is also called the yellow series .
history
The best-known volumes from the early years include the lectures on functional theory by Adolf Hurwitz and Courant, the lectures on mathematical physics by Courant and Hilbert, the two-volume algebra by Bartel Leendert van der Waerden , Ludwig Bieberbach's theory of differential equations, several lecture volumes by Felix Klein ( including his history of mathematics in the 19th century , elementary mathematics from a higher point of view or higher geometry ), the descriptive geometry by David Hilbert and Stefan Cohn-Vossen , the lectures on differential geometry by Wilhelm Blaschke or Konrad Knopp's infinite series. Here Abraham Fraenkel published the introduction to set theory , David Hilbert and Paul Bernays published the fundamentals of mathematics , the tasks and theorems from analysis by George Pólya and Gábor Szegő , the topology by Pawel Alexandrow and Heinz Hopf , the Foundations of Potential Theory by Oliver Kellogg , the theory of groups of finite order by Andreas Speiser , the absolute differential calculus by Tullio Levi-Civita , the Ricci calculus by Jan Schouten , the geometry lectures by Moritz Pasch and John von Neumann Mathematical Foundations of Quantum Mechanics . Besides Courant, co-editors in the early years were Max Born , Carl Runge , Blaschke (in 1935 Courant, Blaschke, van der Waerden and Friedrich Karl Schmidt ).
After the Second World War, the authorship became considerably international and most of the texts appeared in English. In addition, the individual volumes are mostly special monographs and less textbooks, for which Springer Verlag has other series such as Graduate Texts in Mathematics .
Well-known monographs and textbooks in the series after 1945 were Carl Ludwig Siegel , Jürgen Moser Lectures on Celestial Mechanics , Lars Hörmander Analysis of Linear Partial Differential Operators (4 volumes), Herbert Federer Geometric Measure Theory , Jürgen Neukirch Algebraic Number Theory , John Horton Conway and Neil Sloane Sphere packings, lattices and groups , Henry McKean and Kiyoshi Ito Diffusion processes and their sample paths , André Weil Basic Number Theory , Igor Schafarewitsch Basic Algebraic Geometry and Topological Vector Spaces by Gottfried Köthe .
Works on physics also appeared in the series, for example the textbook on the theory of relativity by Arthur Eddington and the mathematical tools of the physicist by Erwin Madelung before the war and then the computational methods of quantum theory by Siegfried Flügge .
In 1968, Beno Eckmann and Bartel Leendert van der Waerden were the editors and co-editors were Joseph Doob , Erhard Heinz , Friedrich Hirzebruch , Eberhard Hopf , Heinz Hopf , Wilhelm Maak , Saunders MacLane , Wilhelm Magnus , David Mumford , Michail Michailowitsch Postnikow , Friedrich Karl Schmidt , Dana Scott , Karl Stein .
The editors in 2013 were: Alain Chenciner , John Coates , SRS Varadhan (editor-in-chief) and for the individual series Marcel Berger , Pierre de la Harpe , Nigel Hitchin , Antti Kupiainen , Gilles Lebeau , Fang-Hua Lin , Shigefumi Mori , Ngô Bảo Châu , Marina Ratner , Denis Serre , Neil Sloane , Anatoli Moissejewitsch Werschik (Vershik) and Michel Waldschmidt . In 2018 the same except for Ratner and Berger, who have since passed away.
Around 350 volumes had appeared by 2013.
List of all volumes
Some of the volumes are English translations (mostly with revision) of volumes previously published in German in the series.
- 1. Wilhelm Blaschke : Lectures on Differential Geometry and Geometric Basics of Einstein's Theory of Relativity I: Elementary Differential Geometry, 1921 (with appendix by Kurt Reidemeister )
- 2. Konrad Knopp : Theory and Applications of Infinite Series, 1922
- 3. Adolf Hurwitz , Richard Courant : Lectures on General Function Theory and Elliptic Functions, 1922 (Lecture by Hurwitz, addendum to Geometric Function Theory by Courant)
- 4. Erwin Madelung : The Physicist's Mathematical Aids, 1922
- 5. Andreas Speiser : The theory of groups of finite order: with applications to algebraic numbers and equations, as well as to crystallography, 1923
- 6. Ludwig Bieberbach : Theory of differential equations: Lectures from the entire field of ordinary and partial differential equations, 1923
- 7. Wilhelm Blaschke : Lectures on differential geometry and geometric foundations of Einstein's theory of relativity II: Affine differential geometry, 1923
- 8. Béla Kerékjártó : Lectures on Topology 1, 1923
- 9. Abraham Fraenkel : Introduction to Set Theory, 1923
- 10. Jan Schouten : The Ricci Calculus, 1924
- 11. Carl Runge , Hermann König : Lectures on Numerical Computing, 1924
- 12. Richard Courant , David Hilbert : Methods of Mathematical Physics I, 1924
- 13. Niels Erik Nörlund : Lectures on calculus of differences, 1924
- 14. Felix Klein : Elementary Mathematics from a Higher Point of View I: Arithmetic, Algebra, Analysis, 1924 (editors Ernst Hellinger and Fr. Seyfarth; the first edition was published by Teubner in 1911)
- 15. Felix Klein : Elementary mathematics from a higher point of view from II: Geometry, 1925 (editor Hellinger, additions Seyfarth)
- 16. Felix Klein : Elementary Mathematics from a Higher Point of View III: Precision and Approximation Mathematics 1925 (editor CH Müller, additions Seyfarth)
- 17. Edmund Taylor Whittaker : Analytical Dynamics of Points and Rigid Bodies 1924
- 18. Arthur Eddington : Theory of Relativity in Mathematical Treatment, 1925
- 19. George Pólya , Gábor Szegő : Exercises and theorems from Analysis II
- 20. George Pólya , Gábor Szegő : Exercises and theorems from Analysis I, 1925
- 21. Arthur Schoenflies : Introduction to the Analytical Geometry of Plane and Space, 1925
- 22. Felix Klein : Lectures on higher geometry (editor Wilhelm Blaschke)
- 23. Moritz Pasch : Lectures on modern geometry, 1926
- 24. Felix Klein : Lectures on the Development of Mathematics in the 19th Century, I, 1926 (edited by Otto Neugebauer , Richard Courant )
- 25. Felix Klein : Lectures on the Development of Mathematics in the 19th Century, II (The Basic Concepts of Invariant Theory and Their Penetration in Mathematical Physics), 1927
- 26. Felix Klein : Lectures on non-Euclidean geometry, 1928 (editor Walther Rosemann )
- 27. David Hilbert , Wilhelm Ackermann : Fundamentals of Theoretical Logic, 1928
- 28. Tullio Levi-Civita : The absolute differential calculus and its applications in geometry and physics, 1928
- 29. Wilhelm Blaschke : Lectures on differential geometry and geometrical foundations of Einstein's theory of relativity III: differential geometry of circles and spheres, 1929
- 30. Leon Lichtenstein : Fundamentals of hydromechanics, 1929
- 31. Oliver Kellogg : Foundations of Potential Theory, 1929
- 32. Kurt Reidemeister : Lectures on the basics of geometry, 1930
- 33. Bartel Leendert van der Waerden : Modern algebra . Using lectures by Emil Artin and Emmy Noether , Volume 1, 1930
- 34. Bartel Leendert van der Waerden : Modern Algebra , Volume 2, 1931
- 35. Max Herzberger : Radiation Optics, 1931
- 36. Bartel Leendert van der Waerden : The group-theoretic methods in quantum mechanics, 1932
- 37.David Hilbert , Stefan Cohn-Vossen : Illustrative Geometry, 1932
- 38. John von Neumann : Mathematical foundations of quantum mechanics, 1932
- 39. Felix Klein : Lectures on the hypergeometric function, 1933
- 40.David Hilbert , Paul Bernays : Fundamentals of Mathematics, Volume 1, 1934
- 41. Ernst Steinitz : Lectures on the theory of the polyhedra including the elements of topology (Ed. Hans Rademacher ), 1934
- 42. Christian Juel : Lectures on projective geometry with special consideration of the v. Staudt's imaginary theory, 1934
- 43. Otto Neugebauer : Lectures on the history of the ancient mathematical sciences, 1934
- 44. Jakob Nielsen : Lectures on elementary mechanics, 1935
- 45. Pawel Alexandrow , Heinz Hopf : Topology I, 1935
- 46. Rolf Nevanlinna : Unique analytical functions, 1936
- 47. Gustav Doetsch : Theory and Applications of the Laplace Transformation, 1937
- 48. Richard Courant , David Hilbert : Methods of Mathematical Physics, Volume 2, 1937
- 49. Wilhelm Blaschke , Gerrit Bol : Geometry of tissues: topological questions of differential geometry, 1938
- 50.David Hilbert , Paul Bernays : Fundamentals of Mathematics, Volume 2, 1939
- 51. Bartel Leendert van der Waerden : Introduction to Algebraic Geometry, 1939
- 52. Wilhelm Magnus , Fritz Oberhettinger : Formulas and sentences for the special functions of mathematical physics, 1943
- 53.Siegfried Flügge : Calculation Methods of Quantum Theory I, 1947
- 54. Gustav Doetsch : Tables for Laplace Transformation and Instructions for Use, 1947
- 55. Wilhelm Magnus , Fritz Oberhettinger : Application of the elliptical functions in physics and technology, 1949
- 56. Otto Toeplitz : The development of infinitesimal calculus: an introduction to infinitesimal calculus according to the genetic method, 1949
- 57. Georg Hamel : Theoretical Mechanics, 1949
- 58.Wilhelm Blaschke , Hans Reichardt : Introduction to Differential Geometry, 1950
- 59. Helmut Hasse : Lectures on Number Theory, 1950
- 60. Lothar Collatz : Numerical treatment of differential equations, 1951
- 61. Wilhelm Maak : Almost Periodic Functions, 1951, 2nd edition 1967
- 62. Robert Sauer : Initial Value Problems in Partial Differential Equations, 1952
- 63. Martin Eichler : Quadratic forms and orthogonal groups, 1952
- 64. Rolf Nevanlinna : Uniformization, 1953
- 65. László Fejes Tóth : Positionings in the plane, on the sphere and in space, 1953
- 66. Ludwig Bieberbach : Theory of ordinary differential equations: presented on the basis of function theory, 1953
- 67. Paul F. Byrd , Morris D. Friedman : Handbook of Elliptic Integrals for Engineers and Scientists, 1954
- 68. Georg Aumann : Real functions, 1954
- 69. Arnold Schmidt : Mathematical laws of logic I, lectures on propositional logic
- 70. Günther Ludwig : The basics of quantum mechanics, 1954
- 71. Josef Meixner , Friedrich Wilhelm Schäfke : Mathieusche functions and spheroid functions with applications to physical and technical problems, 1954
- 72. Georg Nöbeling : Fundamentals of analytical topology, 1954
- 73. Hans Hermes : Introduction to Association Theory, 1955
- 74. Hermann Boerner : Representations of groups: with consideration of the needs of modern physics, 1955
- 75. Tibor Radó , Paul V. Reichelderfer : Continuous Transformations in Analysis, with an Introduction to Algebraic Topology, 1955
- 76. Francesco Tricomi : Lectures on Orthogonal Series, 1955
- 77. Heinrich Behnke , Friedrich Sommer : Theory of the functions of a complex variable, 1955
- 78. Paul Lorenzen : Introduction to Operative Logic and Mathematics, 1955
- 79.Walter Saxer : Versicherungsmathematik I, 1955
- 80. Günter Pickert : Projective planes, 1955
- 81. Theodor Schneider : Introduction to the transcendent numbers, 1956
- 82.Wilhelm Specht : Group Theory, 1956
- 83. Ludwig Bieberbach : Introduction to the theory of differential equations in the real domain, 1956
- 84. Fabio Conforto : Abelian functions and algebraic geometry, 1956 (editor Wolfgang Gröbner )
- 85. Carl Ludwig Siegel : Lectures on celestial mechanics, 1956
- 86. Hans Richter : Probability Theory, 1956
- 87. Bartel Leendert van der Waerden : Mathematical Statistics, 1957
- 88. Claus Müller : Basic problems of the mathematical theory of electromagnetic oscillations 1957
- 89. Albert Pfluger : Theory of Riemann surfaces, 1957
- 90. Fritz Oberhettinger : Tables for Fourier Transformation, 1957
- 91. Karl Prachar : Prime number distribution, 1957
- 92. Fritz Rehbock : Descriptive Geometry, 1957
- 93. Hugo Hadwiger : Lectures on content, area and isoperimetry, 1957
- 94. Paul Funk : Calculus of Variations and their application in physics and technology, 1962
- 95. Fumitomo Maeda : Continuous Geometries, 1958
- 96. Friedrich Bachmann : Structure of geometry on the concept of reflection, 1959
- 97. Werner H. Greub : Lineare Algebra, 1958
- 98.Walter Saxer : Actuarial Mathematics, Part 2, 1958
- 99. John Cassels : An Introduction to the Geometry of Numbers, 1959
- 100. Werner von Koppenfels , Friedemann Stallmann : Practice of conformal mapping, 1959
- 101. Hanno Rund : The Differential Geometry of Finsler Spaces, 1959
- 102. Rolf Nevanlinna , Frithiof Nevanlinna : Absolute Analysis, 1959
- 103. Kurt Schütte : Theory of Proof, 1960
- 104. Kai Lai Chung : Markov chains with stationary transition probabilities, 1960
- 105. Willi Rinow : The inner geometry of the metric spaces, 1961
- 106. Heinrich Scholz , Gisbert Hasenjaeger : Basic features of mathematical logic, 1961
- 107. Gottfried Köthe : Topological Linear Spaces I
- 108. Eugene Dynkin : The Foundations of the Theory of Markoff Processes, 1961
- 109. Hans Hermes : Enumerability, decidability, computability: introduction to the theory of recursive functions, 1961
- 110. Alexander Dinghas : Lectures on Function Theory , 1961
- 111. Jacques-Louis Lions : Equations différentielles opérationnelles et probèmes aux limites, 1961
- 112. Dietrich Morgenstern , István Szabó : Lectures on theoretical mechanics, 1961
- 113. Herbert Meschkowski : Hilbert spaces with a core function, 1961
- 114. Saunders MacLane : Homology 1963
- 115. Edwin Hewitt , Kenneth A. Ross : Abstract Harmonic Analysis I: Structure of topological groups, integration theory, group representations, 1963
- 116. Lars Hörmander : Linear Partial Differential Operators, 1963
- 117. Timothy O'Meara : Introduction to Quadratic Forms, 1963
- 118. Friedrich Wilhelm Schäfke : Introduction to the theory of the special functions of mathematical physics, 1963
- 119. Theodore E. Harris : The Theory of Branching Processes, 1963
- 120. Lothar Collatz : Functional Analysis and Numerical Mathematics, 1964
- 121/122 Eugene Dynkin : Markov Processes 1965
- 123. Kōsaku Yosida : Functional Analysis, 1965
- 124. Dietrich Morgenstern : Introduction to probability theory and mathematical statistics, 1964
- 125. Itō Kiyoshi , Henry McKean : Diffusion Processes and Their Sample Paths, 1965
- 126. Olli Lehto , Kaarlo Virtanen : Quasiconformal maps, 1965 (2nd edition Quasiconformal mappings in the plane 1973)
- 127. Hans Hermes : Enumerability, Decidability, Computability, 1965
- 128. Hel Braun , Max Koecher : Jordan Algebras 1966
- 129. Otton Marcin Nikodým : The Mathematical Apparatus of Quantum Theories, based on the theory of Boolean lattices, 1966
- 130. Charles B. Morrey : Multiple Integrals in the Calculus of Variations 1966
- 131. Friedrich Hirzebruch : Topological Methods in Algebraic Geometry 1966
- 132. Tosio Kato : Perturbation Theory of Linear Operators, 1966
- 133. Otto Haupt , Hermann Künneth : Geometrical Orders, 1967
- 134.Bertram Huppert : Finite Groups I, 1967
- 135. Handbook of Automatic Computation Ia: Heinz Rutishauser : Description of Algol 60 (editors Friedrich L. Bauer , Rutishauser, Alston Scott Householder , FWJ Olver, Klaus Samelson , Eduard Stiefel )
- 136.Werner H. Greub : Multilinear Algebra 1967
- 137. Handbook of Automatic Computation I b: Albert A. Grau , Ursula Hill , Hans Langmaack : Translation of Algol 60
- 138. Wolfgang Hahn : Stability of Motion, 1967
- 139. Gustav Doetsch , Friedrich Wilhelm Schäfke , Horst Tietz : Mathematical tools of the engineer I (functional transformation, function theory, special functions, ed. Of the series Robert Sauer , István Szabó ), 1967
- 140. Lothar Collatz , Rüdiger Nicolovius, Willi Törnig : Mathematical Tools of the Engineer II (Törnig: Initial value problems in ordinary and partial differential equations, Collatz / Nicolovius: Boundary and eigenvalue problems in ordinary and partial differential equations and integral equations), 1969
- 141. Mathematical tools of the engineer III ( Friedrich L. Bauer , Josef Stoer : Algebra, Robert Sauer : Geometrie und Tensorkalkül , Tatomir Angelitch : Tensorkalkül plus applications, Roland Bulirsch , Heinz Rutishauser : Interpolation and approximated quadrature, Georg Aumann , approximation of functions, Roland Burlisch / Josef Stoer: Representation of functions in calculators, Hans Paul Künzi : Linear and non-linear optimization, Klaus Samelson : Calculators) 1968
- 142. Mathematical tools of the engineer IV ( Wolfgang Hahn : stability of movement in systems with a finite number of degrees of freedom, Dietrich Morgenstern , Volker Mammitzsch : probability calculation and mathematical statistics, Wolfgang Zander , theorems and formulas of mechanics and electrical engineering - mechanics, Klaus Pöschl electrical engineering), 1970
- 143. Issai Schur : Lectures on invariant theory, 1968
- 144. André Weil : Basic Number Theory 1967
- 145. Paul Leo Butzer , Hubert Berens : Semi-Groups of Operators and Approximation 1967
- 146. François Treves : Locally convex spaces and linear partial differential equations, 1967
- 147. Klaus Lamotke : Semisimpliziale Algebraische Topologie, 1968
- 148. K. Chandrasekharan : Introduction to analytic number theory, 1968
- 149. Leo Sario , Kōtarō Oikawa : Capacity Functions, 1969
- 150. Marius Iosifescu , Radu Theodorescu : Random Processes and Learning, 1969
- 151. Petr Mandl : Analytical treatment of one-dimensional Markov processes, 1968
- 152. Edwin Hewitt , Kenneth A. Ross : Abstract Harmonic Analysis II: Structure and analysis for compact groups, analysis on locally compact Abelian groups, 1970
- 153. Herbert Federer : Geometric Measure Theory, 1969
- 154. Ivan Singer : Bases in Banach Spaces I. 1970
- 155. Claus Müller : Foundations of the Mathematical Theory of Electromagnetic Waves, 1969
- 156.Bartel Leendert van der Waerden : Mathematical Statistics, 1969
- 157. Yuri Wassiljewitsch Prokhorov (Prokhorov), Juri Anatoljewitsch Rosanow (Yuri Anatolievich Rozanov): Probability Theory, 1969
- 158. Corneliu Constantinescu , Aurel Cornea : Potential Theory on Harmonic Spaces, 1972
- 159. Gottfried Köthe : Topological Vector Spaces I, 1969
- 160. Matest Mendelejewitsch Agrest , Michail Sacharowitsch Maximow : Theory of Incomplete Cylindrical Functions and Their Applications, 1971
- 161. Nam P. Bhatia , George P. Szegö : Stability Theory of Dynamical Systems, 1970
- 162. Rolf Nevanlinna : Analytic Functions, 1970
- 163. Josef Stoer , Christoph Witzgall : Convexity and Optimization in Finite Dimensions I, 1970
- 164. Leo Sario , Mitsuru Nakai : Classification Theory of Riemann Surfaces, 1970
- 165. Dragoslav Mitrinović , Petar Vasić : Analytic Inequalities, 1970
- 166. Alexander Grothendieck , Jean Dieudonné : Élements d'Géometrie Algébrique I: Le langage des schémas, 1971
- 167. K. Chandrasekharan : Arithmetical Functions, 1970
- 168. Viktor Pawlowitsch Palamodow (V. Palamodov): Linear Differential Operators with Constant Coefficients, 1970
- 169. Hans Rademacher : Topics in analytic number theory, 1973
- 170. Jacques-Louis Lions : Optimal Control of Systems Governed by Partial Differential Equations, 1971
- 171. Ivan Singer : Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces, 1970
- 172. Hans Bühlmann : Mathematical Methods in Risk Theory, 1970
- 173. Fumitomo Maeda , Shuichiro Maeda : Theory of Symmetric Lattices, 1970
- 174. Eduard Stiefel , Gerhard Scheifele: Linear and Regular Celestial Mechanics, 1971
- 175. Ronald Larsen : An Introduction to the Theory of Multipliers, 1971
- 176. Hans Grauert , Reinhold Remmert : Analytische Stellenalgebren, 1971
- 177/178 Siegfried Flügge : Practical Quantum Mechanics I, II, 1971
- 179. Jean Giraud : Cohomologie non-abélienne 1971
- 180. Naum Samoilowitsch Landkof : Foundations of Modern Potential Theory, 1972
- 181./182/183 Jacques-Louis Lions , Enrico Magenes : Non-Homogeneous Boundary-Value-Problems and Applications I, II, III, 1972, 1973
- 184. Murray Rosenblatt : Markov Processes. Structure and Asymptotic Behavior, 1971
- 185.Wojciech Rubinowicz : Sommerfeld polynomial method, 1972
- 186. James H. Wilkinson , Christian Reinsch : Handbook of Automatic Computation III: Linear Algebra, 1971
- 187. Carl Ludwig Siegel , Jürgen Moser : Lectures on Celestial Mechanics, 1971
- 188/189 Garth Warner : Harmonic Analysis on Semi-Simple Lie Groups I, II, 1972
- 190./191 Carl Faith : Algebra: Rings, Modules and Categories I, II, 1973
- 192. Malcev : Algebraic Systems 1973
- 193. George Pólya , Gábor Szegő : Problems and Theorems in Analysis I, 1972
- 194. Jun-Ichi Igusa : Theta Functions, 1972
- 195. Sterling K. Berberian : Baer * Rings, 1972
- 196. Krishna B. Athreya , Peter E. Ney : Branching Processes, 1972
- 197. Walter Benz : Lecture on the geometry of algebras: geometries by Möbius, Laguerre-Lie, Minkowski in uniform and basic geometric treatment, 1973
- 198. Steven A. Gaal : Linear analysis and representation theory, 1973
- 199. Johannes CC Nitsche : Lectures on Minimal Areas, 1975
- 200. Albrecht Dold : Lectures on Algebraic Topology, 1972
- 201. Anatole Beck : Continuous flows in the plane, 1974
- 202. Leopold Butterer : Introduction to mathematical statistics, 1974
- 203. Bruno Schoeneberg : Elliptic modular functions: an introduction, 1974
- 204. Vasile-Mihai Popov : Hyperstability of Control Systems, 1973
- 205. Sergei Michailowitsch Nikolski : Approximation of functions of several variables and imbedding theorems, 1975
- 206. Michel André : Homologie des algèbres commutatives, 1974
- 207. William F. Donoghue : Monotone matrix functions and analytic continuation, 1974
- 208. Howard Elton Lacey : The isometric theory of classical Banach spaces, 1974
- 209. Gerhard Ringel : Map Color Theorem, 1974
- 210. Anatoli Skorochod , Iossif Iljitsch Gichman (II Gikhman): The Theory of Stochastic Processes I, 1974
- 211. W. Wistar Comfort , Stylianos Negrepontis : The Theory of Ultrafilters, 1974
- 212. Robert Massey Switzer : Algebraic topology, homotopy and homology, 1975
- 213. Igor Schafarewitsch : Basic Algebraic Geometry, 1974
- 214.Bartel Leendert van der Waerden : Group Theory and Quantum Mechanics, 1974
- 215. Helmut H. Schaefer : Banach lattices and positive operators, 1974
- 216. George Pólya , Gábor Szegő : Problems and Theorems in Analysis II, 1976
- 217. Bo Stenström : Rings of quotients: an introduction to methods of ring theory, 1975
- 218. Anatoli Skorochod , Iossif Iljitsch Gichman (II Gikhman): The Theory of Stochastic Processes II, 1975
- 219. Georges Duvaut , Jacques-Louis Lions : Inequalities in mechanics and physics, 1976
- 220. Alexander Alexandrowitsch Kirillov : Elements of the theory of representations, 1976
- 221. David Mumford : Algebraic Geometry 1: Complex Projective Varieties, 1976
- 222. Serge Lang : Introduction to Modular Forms, 1976
- 223. Jöran Bergh , Jörgen Löfström : Interpolation spaces: an introduction, 1976
- 224. David Gilbarg , Neil S. Trudinger : Elliptic partial differential equations of second order, 1977
- 225. Kurt Schütte : Proof Theory, 1977
- 226. Max Karoubi : K-Theory. An Introduction, 1978
- 227. Hans Grauert , Reinhold Remmert : Theory of Stein's spaces, 1977
- 228. Irving Segal , Ray Kunze : Integrals and Operators, 1978
- 229. Helmut Hasse : Number Theory 1980
- 230. Wilhelm Klingenberg : Lectures on closed geodesics, 1978
- 231. Serge Lang : Elliptic Curves, Diophantine Analysis, 1978
- 232. Anatoli Skorochod , Iossif Iljitsch Gichman (II Gikhman): The Theory of Stochastic Processes III, 1979
- 233. Daniel W. Stroock , SR Srinivasa Varadhan : Multidimensional Diffusion Processes, 1979
- 234. Martin Aigner : Combinatorial Theory, 1979
- 235. Eugene Dynkin , Alexander Adolfowitsch Juschkewitsch : Controlled Markov Processes, 1979
- 236. Hans Grauert , Reinhold Remmert : Theory of Stein Spaces, 1979
- 237. Gottfried Köthe : Topological Vector Spaces II, 1979
- 238. Colin C. Graham , O. Carruth McGehee : Essays in commutative harmonic analysis, 1979
- 239./240 Peter DTA Elliott : Probabilistic Number Theory, Part 1 (Mean Value Theorems), 1979, Part 2 (Central Limit Theorems), 1980
- 241. Walter Rudin : Function theory in the unit ball 1980
- 242./243 Bertram Huppert , Norman Blackburn : Finite Groups II, III, 1982
- 244. Daniel S. Kubert , Serge Lang : Modular Units, 1981
- 245. Issaak Pawlowitsch Kornfeld (Cornfeld), Sergei Fomin , Jakow Sinai : Ergodic Theory, 1982
- 246. Mark Neumark , Alexander Isaakowitsch Stern: Theory of Group Representations, 1982
- 247./248 Michio Suzuki : Group Theory, Vol. 1,2, 1982
- 249. Kai Lai Chung : Lectures from Markov processes to Brownian motion, 1982
- 250. Wladimir Arnold : Geometrical methods in the theory of ordinary differential equations, 1983
- 251. Shui-Nee Chow , Jack K. Hale : Methods of Bifurcation Theory, 1982
- 252. Thierry Aubin : Nonlinear analysis on manifolds, Monge-Ampère equations, 1982
- 253. Bernard Dwork : Lectures on p-adic differential equations, 1982
- 254. Eberhard Freitag : Siegel module functions, 1983
- 255. Serge Lang : Complex Multiplication, 1983
- 256. Lars Hörmander : The analysis of linear partial differential operators, Part 1: Distribution theory and Fourier analysis, 1983
- 257. Lars Hörmander : The analysis of linear partial differential operators, Part 2: Differential operators with constant coefficients, 1983
- 258. Joel Smoller : Shock Waves and reaction-diffusion Equations, 1982
- 259. Peter Duren : Univalent Functions, 1983
- 260. Mark Iossifowitsch Freidlin , Alexander Wentzell : Random perturbations of dynamical systems, 1984
- 261. Siegfried Bosch , Ulrich Güntzer , Reinhold Remmert : Non-Archimedean analysis: a systematic approach to rigid analytic geometry, 1984
- 262. Joseph L. Doob : Classical potential theory and its probabilistic counterpart, 1984
- 263. Mark Alexandrowitsch Krasnoselski , Petr Petrowitsch Zabrejko : Geometrical Methods of Nonlinear Analysis, 1984
- 264. Jean-Pierre Aubin , Arrigo Cellina : Differential inclusions: set-valued maps and viability theory, 1984
- 265. Hans Grauert , Reinhold Remmert : Coherent Analytic Sheaves, 1984
- 266. Georges de Rham : Differentiable manifolds: forms, currents, harmonic forms, 1984
- 267. Enrico Arbarello , Maurizio Cornalba , Phillip Griffiths , Joe Harris : The Geometry of Algebraic Curves, Volume 1, 1985
- 268. Enrico Arbarello , Maurizio Cornalba , Phillip Griffiths (with contribution by Joe Harris): Geometry of Algebraic Curves, Volume 2, 2011
- 269. Pierre Schapira : Microdifferential systems in the complex domain, 1985
- 270.Winfried Scharlau : Quadratic and Hermitian Forms, 1985
- 271. Richard S. Ellis : Entropy, large deviations, and statistical mechanics, 1985
- 272. Peter DTA Elliott : Arithmetic functions and integer products, 1985
- 273. Nikolai Kapitonowitsch Nikolski : Treatise on the shift operator: spectral function theory, 1985
- 274. Lars Hörmander : The analysis of linear partial differential operators III: Pseudo-Differential Operators, 1985
- 275. Lars Hörmander : The analysis of linear partial differential operators IV: Fourier Integral Operators, 1985
- 276. Thomas M. Liggett : Interacting Particle Systems, 1985
- 277. William Fulton , Serge Lang : Riemann-Roch Algebra, 1985
- 278. Michael Barr , Charles Frederick Wells : Toposes, triples and theories, 1985
- 279. Errett Bishop , Douglas Bridges : Constructive Analysis 1985
- 280. Jürgen Neukirch : Class Field Theory, 1986
- 281. Chandrasekharan, K .: Elliptic Functions, 1985
- 282. Pierre Lelong , Lawrence Gruman : Entire Functions of Several Complex Variables, 1986
- 283. Kunihiko Kodaira : Complex manifolds and deformation of complex structures, 1986
- 284. Robert Finn : Equilibrium Capillary Surfaces, 1986
- 285. Juri Dmitrijewitsch Burago , VA Zalgaller : Geometric Inequalities, 1988
- 286. Anatoly Nikolajewitsch Andrianow : Quadratic Forms and Hecke Operators, 1986
- 287. Bernard Maskit : Kleinian Groups, 1987
- 288. Jean Jacod , AN Shiryaev : Limit theorems for stochastic processes, 1987
- 289. Yuri Manin : Gauge theory and complex geometry, 1988
- 290. John Horton Conway , Neil Sloane : Sphere packings, lattices and groups, 1988
- 291. Alexander J. Hahn , Timothy O'Meara : The classical groups and K-theory, 1989
- 292. Masaki Kashiwara , Pierre Schapira : Sheaves on manifolds, 1990
- 293. Daniel Revuz , Marc Yor : Continuous martingales and Brownian motion, 1991
- 294. Max-Albert Knus : Quadratic and hermitian forms over rings, 1991
- 295./296 Ulrich Dierkes , Stefan Hildebrandt , Albrecht Küster , Ortwin Wohlrab : Minimal Surfaces, Part 1, 2, 1992
- 297. Leonid Pastur , Alexander Figotin : Spectra of random and almost-periodic operators, 1992
- 298. Nicole Berline , Ezra Getzler , Michèle Vergne : Heat kernels and Dirac operators, 1992
- 299. Christian Pommerenke : Boundary behavior of conformal maps, 1992
- 300. Peter Orlik , Hiroaki Terao : Arrangements of hyperplanes, 1992
- 301. Jean-Louis Loday : Cyclic Homology, 1992
- 302. Herbert Lange , Christina Birkenhake : Complex abelian varieties, 1992
- 303. Ronald A. DeVore , George G. Lorentz : Constructive Approximation, 1993
- 304. George G. Lorentz , Manfred von Golitschek , Yuly Makovoz : Constructive Approximation: Advanced Problems, 1996
- 305./306 Jean-Baptiste Hiriart-Urruty , Claude Lemaréchal : Convex analysis and minimization algorithms, Part 1, 2, 1993
- 307. Albert S. Schwarz : Quantum field theory and topology, 1993
- 308. Albert S. Schwarz : Topology for Physicists, 1994
- 309. Alejandro Ádem , Richard James Milgram : Cohomology of finite groups, 1994
- 310./311 Mariano Giaquinta , Stefan Hildebrandt : Calculus of variations 1,2, 1996
- 312. Kai Lai Chung , Zhongxin Zhao : From Brownian motion to Schrödinger's equation, 1995
- 313. Paul Malliavin : Stochastic Analysis, 1997
- 314. David R. Adams , Lars Inge Hedberg : Function spaces and potential theory, 1996
- 315. Peter Bürgisser , Michael Clausen , M. Amin Shokrollahi : Algebraic Complexity Theory 1997
- 316. Edward B. Saff , Vilmos Totik : Logarithmic potentials with external fields, 1997
- 317. Ralph Tyrrell Rockafellar , Roger J.-B. Wets : Variational Analysis, 1998
- 318. Shoshichi Kobayashi : Hyperbolic complex spaces 1998
- 319. Martin R. Bridson , André Haefliger : Metric spaces of non-positive curvature, 1999
- 320. Claude Kipnis , Claudio Landim : Scaling limits of interacting particle systems, 1999
- 321. Geoffrey Grimmett : Percolation, 1999
- 322. Jürgen Neukirch : Algebraic Number Theory, 1999
- 323. Jürgen Neukirch , Alexander Schmidt , Kay Wingberg : Cohomology of Number Fields, 2000
- 324. Thomas M. Liggett : Stochastic interacting systems: contact, voter and exclusion processes, 1999
- 325. Constantine M. Dafermos : Hyperbolic conservation laws in continuum physics, 2000
- 326. Michel Waldschmidt : Diophantine approximation on linear algebraic groups: transcendence properties of the exponential function in several variables, 2000
- 327. Jacques Martinet : Perfect lattices in Euclidean spaces, 2003
- 328. Marius van der Put , Michael F. Singer : Galois theory of linear differential equations, 2003
- 329. Jacob Korevaar : Tauberian Theory: A Century of Developments, 2004
- 330./331 Boris Mordukhovich : Variational analysis and generalized differentiation, Vol. 1, 2, 2006
- 332. Masaki Kashiwara , Pierre Schapira : Categories and sheaves, 2006
- 333. Geoffrey Grimmett : The random-cluster model, 2006
- 334. Edoardo Sernesi : Deformations of algebraic schemes, 2006
- 335. Colin Bushnell , Guy Henniart : The local Langlands' conjecture for GL (2), 2006
- 336. Peter M. Gruber : Convex and discrete geometry, 2007
- 337. Wladimir Gilelewitsch Masja , Tatjana Olegowna Schaposchnikowa : Theory of Sobolev Multipliers with application to differential and integral operators, 2009
- 338. Cedric Villani : Optimal transport: old and new, 2009
- 339. Ulrich Dierkes , Stefan Hildebrandt , Friedrich Sauvigny : Minimal Surfaces, Part 1, 2010 (new version of No. 295/296 in three volumes)
- 340. Ulrich Dierkes , Stefan Hildebrandt , Anthony J. Tromba : Minimal Surfaces, Part 2, Regularity of minimal surfaces, 2010
- 341. Ulrich Dierkes , Stefan Hildebrandt , Anthony J. Tromba : Minimal Surfaces, Part 3: Global analysis of minimal surfaces, 2010
- 342. Vladimir Gilelevich Masja : Sobolev spaces: with applications to elliptic partial differential equations, 2011
- 343. Hajer Bahouri , Jean-Yves Chemin , Raphaël Danchin : Fourier analysis and nonlinear partial differential equations, 2011
- 344. Peter Schneider : p-Adic Lie groups, 2011
- 345. Tomasz Komorowski , Claudio Landim , Stefano Olla : Fluctuations in Markov processes: time symmetry and martingale approximation, 2012
- 346. Jean-Louis Loday , Bruno Vallette : Algebraic Operads, 2012
- 347. Camille Laurent-Gengoux , Anne Pichereau , Pol Vanhaecke : Poisson Structures, 2013
- 348. Dominique Bakry , Ivan Gentil , Michel Ledoux : Analysis and Geometry of Markov Diffusion Operators, 2014
- 349. Peter Bürgisser , Felipe Cucker : Condition: the geometry of numerical algorithms, 2013
- 350. Junjirō Noguchi , Jörg Winkelmann : Nevanlinna theory in several complex variables and diophantine approximation, 2014
- 351. Anton Bovier , Frank den Hollander : Metastability. A Potential-Theoretic Approach, 2015
- 352. Scott Armstrong , Tuomo Kuusi , Jean-Christophe Mourrat : Quantitative Stochastic Homogenization and Large-Scale Regularity, 2019
- 353. Nicolas Lerner : Carleman Inequalities: An Introduction and More, 2019
- 354. Barry Simon : Loewner's Theorem on Monotone Matrix Functions, 2019
- 355. Edwin Beggs , Shahn Majid : Quantum Riemannian Geometry, 2020
- 356. Daniel Barlet , Jon Ingolfur Magnússon : Complex analytic cycles, I, 2020
- 357. David Mond , Juan J. Nuño-Ballesteros : Singularities of Mappings: The Local Behavior of Smooth and Complex Analytic Mappings, 2020
literature
Volker Remmert / Ute Schneider : A Discipline and its Publishers - Disciplinary Culture and the Publication of Mathematics in Germany, 1871–1949, Bielefeld 2010 [Mainzer Historische Kulturwissenschaften 4]
Web links
Individual evidence
- ↑ 2013 according to the publisher only in English