Encyclopedia of Mathematical Sciences
The encyclopedia of the mathematical sciences including their applications was an encyclopedia project of the mathematical sciences (in the broadest sense) including applications that was published by BG Teubner Verlag in Leipzig from 1898 to 1935.
Emergence
The idea for the project arose on a trip to the Harz Mountains by Felix Klein , Heinrich Weber and Wilhelm Franz Meyer in 1894. Leading mathematicians and physicists from the turn of the century to the 1920s took part, coordinated in particular by Felix Klein. Participation was international. B. also contributions from Italy, England and France. The academies in Munich, Leipzig, Göttingen and Vienna (not Berlin) were involved. In France there was a French edition at the same time (published 1904 to 1916 by Gauthier-Villars, editor Jules Molk ), some of the articles (especially on real analysis) of which were taken over into the German encyclopedia. The articles in the encyclopedia still provide valuable information on the history of mathematics today. Some of the articles are classics, e.g. B. that of Wolfgang Pauli on the theory of relativity , of Tatjana and Paul Ehrenfest on statistical mechanics and that of Max Dehn and Poul Heegaard on topology . The original plan to write the most concise overview articles possible, however, already partially dissolved with the contributions of Alfred Pringsheim , who brought his own research on the theory of functions to the encyclopedia. Ludwig Boltzmann gave a little insight into the organization .
In addition to mathematics (volumes 1, 2 and for geometry 3), z. B. Physics , mechanical engineering , hydrodynamics , geodesy and astrophysics are dealt with (mechanics in rows 4, physics in 5, geophysics and astrophysics in row 6). Arnold Sommerfeld supervised the physics volumes, in which famous theoretical physicists such as Hendrik Antoon Lorentz collaborated and in which quantum theory was also dealt with (Smekal 1925).
The volumes of the encyclopedia also contain the beginning of the triumphant advance of vector notation, as Karin Reich explained.
From 1939 until the 1950s, the project of a new encyclopedia was started, which was then abandoned. Although it was limited to pure mathematics, due to the great increase in mathematical knowledge (especially in the period after the Second World War) and the shift in the focus of mathematical research to countries other than German-speaking Central Europe, the time for such a project was up. In the 1970s, a similar project, the Matematicheskaya entsiklopediya, began in the Soviet Union under the direction of Ivan Matwejewitsch Vinogradow, from the 1990s in an expanded and updated English version as the Encyclopaedia of Mathematics at Kluwer Verlag (later Springer ), but without the broad term of Applications that Felix Klein in particular contributed to the encyclopedia project.
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- Vol. 1-1: Hermann Schubert Fundamentals of Arithmetic (1898), Arthur Schoenflies Set Theory (1898), Eugen Netto Kombinatorik (1898), Rational Functions of a Variable (1899), Rational Functions of Several Variables (1899), Alfred Pringsheim Irrational Numbers and Convergence infinite processes (1898), Georg Landsberg algebraic structures - arithmetic theory of algebraic quantities (1899), Wilhelm Franz Meyer invariant theory (1899), Carl Runge separation and approximation of roots (1899), Otto Hölder Galois theory with applications (1899), Anders Wiman Finite groups of linear substitutions (1899), Heinrich Burkhardt Finite discrete groups (1898), Karl Theodor Vahlen Rational function of roots, symmetrical and affect functions (1899), Eduard Study Theory of general and higher complex quantities (1898).
- Vol. 1-2: Paul Bachmann Low Number Theory (1900), Analytical Number Theory (1900), Theodor Vahlen Arithmetic Theory of Forms (1900), David Hilbert Algebraic Number Fields (1900), Circle Division Fields (1900), Heinrich Weber Complex Multiplication (1900) , Emanuel Czuber Probability Calculation (1900), Julius Bauschinger Equalization Calculation (1900), Interpolation (1901), Ladislaus von Bortkiewicz Applications of Probability Calculation to Statistics (1901), Georg Bohlmann Life Insurance Mathematics (1901), Dmitri Fjodorowitsch Seliwanow (Demetrius F. Seliwanoff) Difference Calculation (1901), Rudolf Mehmke Numerical Calculation (1902), Wilhelm Ahrens Mathematical Games (1902), Vilfredo Pareto Economics (1902), Alfred Pringsheim Infinite Processes in Complexes (1904).
- Vol. 2-1-1 Aurel Voss Differential and Integral Calculus (1899), Georges Brunel Certain Integrals (1899), Alfred Pringsheim Fundamentals of General Function Theory (1899), Ernest Vessiot Ordinary Differential Equations - Elementary Integration Methods (1900), Paul Painlevé Ordinary Differential Equations - Existence of the solutions (1900), Eduard von Weber partial differential equations (1900), Arnold Sommerfeld boundary value problems in the theory of partial differential equations (1900), Ludwig Maurer / Heinrich Burkhardt Continuous transformation groups (1900), Maxime Bôcher boundary value problems in ordinary differential equations (1900) , Adolf Kneser Calculus of Variations (1900), Ernst Zermelo / Hans Hahn Further development of the calculus of variations in recent years (1904), Heinrich Burkhardt , Wilhelm Franz Meyer Potential Theory (1900), Heinrich Burkhardt Trigonometric Interpolation - mathematical treatment of periodic natural phenomena (1904).
- Vol. 2-1-2: Albert Wangerin theory of spherical functions and related functions (1904), Salvatore Pincherle functional operators and equations (1905), Heinrich Burkhardt trigonometric series and integrals (1914).
- Vol. 2-2: William Fogg Osgood General Theory of Analytical Functions of One and Several Complex Variables (1901), Wilhelm Wirtinger Algebraic Functions and Their Integrals (1901), Robert Fricke Elliptical Functions (1913, using templates from James Harkness , Wilhelm Wirtinger ), Automorphic functions including the elliptic module functions (1913), Emil Hilb differential equations in complex areas, nonlinear differential equations (1916), Adolf Krazer , Wilhelm Wirtinger Abelian functions and general theta functions (1920).
- Vol. 2-3-1: Alfred Pringsheim , Georg Faber Algebraische Analysis (1908), Carl Runge , Friedrich Adolf Willers Numerical and graphical quadrature of ordinary and partial differential equations (1915), Ludwig Bieberbach more recent investigations into functions of complex variables (1920), Leon Lichtenstein Newer Developments in Potential Theory (1918), Heinrich Wilhelm Ewald Jung Arithmetic Theory of the Algebraic Functions of Two Independent Variables (1921), Kurt Hensel Arithmetic Theory of Algebraic Functions (1921).
- Vol. 2-3-2: Niels Erik Nörlund Recent studies on difference equations (1922), Harald Bohr , Harald Cramér The recent development of analytical number theory (1922), Emil Hilb , Marcel Riesz Recent studies on trigonometric series (1922), Emil Hilb / Otto Szasz General Series Development (1922), Ernst Hellinger , Otto Toeplitz Integral Equations and Equations with Infinitely Many Unknowns (1927), Leon Lichtenstein Newer development of the theory of partial differential equations of the second order of the elliptical type (1924), and: Émile Borel , Arthur Rosenthal (Editor, edited by Rosenthal): Recent studies on functions of real variables: Maurice Frechet function sequences , Paul Montel integration and differentiation, Ludovic Zoretti The point sets.
- Vol. 3-1-1: Federigo Enrique's principles of geometry (1907), Hans von Mangoldt The concepts of line and surface (1906), Max Dehn / Poul Heegaard Analysis Situs (1907), Gino Fano's contrast between analytical and synthetic geometry historical development in the 19th century (1907), Gino Fano: Continuous geometric groups - The group theory as a geometrical classification principle (1907), Arthur Schoenflies Projective Geometry (1909), Ernst Steinitz Configurations of Projective Geometry (1910), Emil Müller The Different Coordinate Systems ( 1910), Erwin Papperitz Descriptive Geometry (1909).
- Vol. 3-1-2: Julius Sommer elementary geometry from the standpoint of modern analysis (1914), Max Zacharias elementary geometry and elementary non-Euclidean geometry in synthetic treatment (1913), Hermann Rothe , Alfred Lotze , Christian Betsch systems of geometrical analysis (Lotze from p . 1425, Betsch from p. 1550), Gustav Berkhan , Wilhelm Franz Meyer Newer triangular geometry (1914), Ernst Steinitz polyhedra and spatial divisions (1916), Heinrich Tietze / Leopold Vietoris relationships between the various branches of topology (1929).
- Vol. 3-2-1: Friedrich Dingeldey Kegelschnitte und Kegelschnittsysteme (1903), Ernst Otto Staude 2nd order surfaces and their systems and penetration curves (1904), Hieronymus Zeuthen Abzählende Methode (1905), Luigi Berzolari General Theory of Higher Planar Algebraic Curves (1906), Gustav Kohn level curves of the third and fourth order (1908), Gino Loria Special level algebraic curves of higher than 4th order (1914), Guido Castelnuovo , Enrique's basic properties of algebraic surfaces (1908), The algebraic surfaces from the standpoint of birational transformations (1914),
- Vol. 3-2-2a: Corrado Segre Multi-Dimensional Spaces (1912), Luigi Berzolari / Karl Rohn Algebraic Space Curves and Developable Surfaces (1926), Konrad Zindler Algebraic Line Geometry (1921).
- Vol. 3-2-2b: Special algebraic surfaces: Wilhelm Franz Meyer third order surfaces (1928), fourth and higher order surfaces (1930), Luigi Berzolari Algebraic Transformations and Correspondences (1932).
- Vol. 3-3: Differential geometry: Hans von Mangoldt application of differential and integral calculus to curves and surfaces (1902), Reinhold von Lilienthal The curves drawn on a surface (1902), special surfaces (1903), Georg Scheffers special transcendent curves ( 1903), Heinrich Liebmann contact transformations (1914), Geometric theory of differential equations (1914), Aurel Voss mapping and development of two surfaces on top of each other (1903), Erich Salkowski Dreifach orthogonale surface systems (1920), Roland Weitzenböck more recent work on algebraic invariant theory - differential invariants (1921 ), Ludwig Berwald Differential Invariants in Geometry - Riemann Manifolds and Their Generalizations (1923).
- Vol. 4-1: Aurel Voss Foundation of Mechanics (1901), Lebrecht Henneberg The graphic statics of a rigid body (1903), Arthur Schoenflies Kinematik (1902), Heinrich Emil Timerding Geometric foundation of the mechanics of a rigid body, Paul Stäckel Elementary dynamics of Point systems and rigid bodies (1905), Giuseppe Jung Geometry of the masses (1903).
- Vol. 4-2 Philipp Furtwängler The mechanics of the simplest physical apparatus and test arrangements (1904), Gilbert Walker Spiel und Sport (1900), Richard von Mises Dynamic Problems of Mechanical Engineering (1911), Georg Prange The general integration methods of analytical mechanics (1933) , Otto Fischer Physiological Mechanics (1904), Karl Heun Approaches and General Problems in System Mechanics (1914).
- Vol. 4-3 The Mechanics of Deformable Bodies. Max Abraham Geometric Basic Concepts (1901), Augustus Edward Hough Love Hydrodynamics (1901), Philipp Forchheimer Hydraulics (1905), Martin Fürchtegott Grübler Hydraulic Motors and Pumps (1907), Alexei Nikolajewitsch Krylow , Conrad Müller The theory of the ship (1906/7) , Carl Cranz Ballistics (1903), Sebastian Finsterwalder Aerodynamik (1902), Gyözö Zemplén (G. von Zemplén) Special remarks on discontinuous movements in liquids (1905).
- Vol. 4-4: Mechanics of deformable bodies. Conrad Müller , Anton Aloys Timpe The basic equations of the mathematical elasticity theory (1906), Orazio Tedone General theorems of the mathematical elasticity theory (1906), Orazio Tedone, Anton Aloys Timpe Special remarks on the statics of elastic bodies (1906), Horace Lamb oscillations of elastic systems - especially acoustics (1906), Theodore von Kármán Strength Problems in Mechanical Engineering (1910), Hans Reissner Theory of Earth Pressure (1909), Martin Grüning , Karl Wieghardt Theory of Building Constructions (1912, 1914), Theodore von Kármán / August Föppl Physical Basics of Strength Theory (1913) , Ernst Hellinger General approaches to the mechanics of the continua (1913), Paul Ehrenfest , Tatjana Ehrenfest Conceptual foundations of the statistical conception of mechanics (1909–1911).
- Vol. 5-1: Carl Runge Maß und Messen (1902), Jonathan Zenneck Gravitation (1901), George Hartley Bryan General Foundation of Thermodynamics (1910), EW Hobson , Hermann Diesselhorst Wärmeleitung (1904), Ludwig Prandtl / Moritz Schröter Technical Thermodynamics (1905), Friedrich Willy Hinrichsen , Leonhard Mamlock (and Eduard Study ) Chemical Atomistics (1905), Ludwig Boltzmann , Josef Nabl Kinetic Theory of Matter (1905), Arthur Schoenflies , Theodor Liebisch , Otto Mügge Crystallographie (1905), Hermann Minkowski Capillarity (1906), Karl Ferdinand Herzfeld Physical and Electro-Chemistry (1920), Heike Kamerlingh Onnes , Willem Hendrik Keesom The equation of state (1911).
- Vol. 5-2: Arnold Sommerfeld , Richard Reiff electricity and optics - standpoint of action at a distance, elementary laws (1902), Hendrik Antoon Lorentz Maxwell's electromagnetic theory (1902), advanced training of Maxwell's theory - electron theory (1903), Richard Gans electrostatics and magnetostatics ( 1906), Friedrich Pockels The relationship between electrostatic and magnetostatic state changes on the one hand and elastic and thermal on the other hand (1906), Peter Debye Stationary and quasi-stationary fields (1909), Max Abraham Electromagnetic Waves (1906), Rudolf Seeliger Electron Theory of Metals (1921), Wolfgang Pauli Theory of Relativity (1920).
- Vol. 5-3: Albert Wangerin Optik - older theory, Wilhelm Wien theory of radiation (1909), Hendrik Antoon Lorentz theory of magneto-optical phenomena (1909), Max von Laue / Paul Sophus Epstein wave optics (1915), Epstein special diffraction problems (1915 ), Max Born Atomic Theory of the Solid State - Dynamics of Crystal Lattices (1922), Carl Runge Series Laws in the Spectra of the Elements (1925), Adolf Kratzer The Laws of the Band Spectra (1925), Adolf Smekal General Fundamentals of Quantum Statistics and Quantum Theory (1925) .
- Vol. 6-1: Carl Reinhertz Lower Geodesy (1905), Paolo Pizzetti Higher Geodesy (1906), Sebastian Finsterwalder Photogrammetrie (1905), Philipp Furtwängler / Robert Bourgeois Cartography (1909), Heinrich Meldau Nautik (1909), George Howard Darwin , Sydney Samuel Hough Movement of the Hydrosphere (1908), Friedrich Robert Helmert Gravity and the Mass Distribution of the Earth (1910), Felix Exner , Wilhelm Trabert Dynamic Meteorology (1912), E. von Schweidler Atmospheric Electricity (1915), Victor Conrad Dynamic Geology (1922 ), Adolf Schmidt Earth Magnetism (1917), Willy Möbius Optics of the Atmosphere (1921).
- Vol. 6-2-1: Carl Wilhelm Wirtz Geographical Location Determination - Nautical Astronomy (1904), Ernst Anding About Coordinates and Time (1905), Fritz Cohn Reduction of astronomical observations - spherical astronomy in the narrower sense (1905), theory of astronomical angle measuring instruments , the observation methods and their errors (1907), Édouard Caspari theory of clocks (1905), Azeglio Bemporad special treatment of the influence of the atmosphere (1907), Friedrich Karl Ginzel chronology (1910), theory of eclipses (1907) (with Alexander Wilkens ) , Gustav Herglotz orbit determination of the planets and comets (1906), Gustav von Niessl determination of the meteor orbits in the solar system (1907), Josef von Hepperger determination of the orbit of double stars and satellites (1910), Ernest William Brown theory of the earth's moon (1914, additions by Albert von Brunn ), Karl Sundman Theory of Planets (1915), Edmund Taylor Whittaker principles of perturbation theory and general theory of trajectories in dynamic n Systems (1912), Edvard Hugo von Zeipel Development of the Disturbance Function (1912), Heinrich Samter Special Disturbance of Planets and Comets / Numerical Treatment of Special Cases of the Three-Body Problem / Multiple Fixed Star Systems (1922), Kurt Laves Die Satellites (1916, meaning moons of the Planets), Julius Bauschinger Determination and Connection of the Astronomical Constants (1919), Rotation of the Celestial Bodies, Precession and Nutation of the Rigid Earth (1923), Samuel Oppenheim Comets (1922), Cuno Hoffmeister Relationship between Comets and Shooting Stars (1922), Friedrich Hayn Die Libration of the moon (1923).
- Vol. 6-2-2: Samuel Oppenheim The theory of the equilibrium figures of the heavenly bodies (1922), Critique of Newton's law of gravitation, Friedrich Kottler Gravitation and Relativity (1922), Hermann Kobold Stellar Astronomy (1924), Robert Emden Thermodynamics of the heavenly bodies (1925), Adolf Hnatek The Spectral Analysis of the Stars (1928), Josef Hopmann , Bernhard Sticker Astronomical Colorimetry (1930), Erich Schoenberg Photometry of the Stars (1932), Hans Kienle Cosmogony (1933).
Digitized edition
- Digitized edition of the German version at SUB Göttingen [1] :
- Mathematics volumes:
- Geometry volumes:
- Mechanics volumes:
- Physics volumes:
- Volumes on geophysics, astronomy:
Encyclopédie des sciences mathématiques pures et appliquées
The French edition of the Encyclopedie was published by Gauthiers-Villars. At the International Congress of Mathematicians in Paris in 1900, the publisher and Teubner agreed on a French edition that was created at the same time, but was not intended to be a mere translation, but was edited by leading French mathematicians. A reprint was published by Éditions Jacques Gabay in the 1990s. In addition to Jules Molk, Paul Appell was also the editor of some volumes . It was published from 1904 to 1916 in 8 volumes, each with partial volumes. After individual chapters had already been affected by the First World War, the entire edition was canceled in 1916 due to the war. As in the German edition, the partial volumes were partly published in continuation issues.
The cooperation between the author of the German edition and the French author took place by letter. First of all, the author of the German original sent supplementary suggestions with his text to the French author, who supplemented and edited and sent the text back to the original author, etc. Molk also organized a newsletter in which comments could be placed on all articles. In a few cases (as in Paul Langevin's adaptation of Max Abraham) a completely new text was created. Some of the contributions in the German edition, especially in analysis, were originally written by French mathematicians.
- Volume 1, Arithmétique et Algèbre
- Part 1, Arithmétique 1904–1909: Hermann Schubert , Jules Tannery , Jules Molk , Principes fondamentaux de l´arithmétique, Eugen Netto , Henri Vogt : Analyze combinatoire et théorie des déterminants, Alfred Pringsheim , Jules Molk: Nombres irrationels et notion de limite, Algorithmes illimités, Eduard Study , Élie Cartan Nombres complexes, Alfred Pringsheim, Maurice Fréchet Algorithmes illimités de nombres complexes, Arthur Schoenflies , René Baire Théorie des ensembles, Heinrich Burkhardt , Henri Vogt: Sur les groupes finis discontinus (the last chapter was not fully published due to the First World War)
- Part 2: Algèbre, 1907–1912: Eugen Netto , Raymond Le Vavasseur Fonctions rationelles, Georg Landsberg , József Kürschák , Jacques Hadamard Propriétés générales des corps et des variétes algébriques, Wilhelm Franz Meyer , Jules Drach Théorie des formes et des invariants
- Part Volume 3: Théorie des nombres 1906-1915: Paul Bachmann , Edmond Maillet Propositions élémentaires de la théorie of nombres, Theodor Vahlen , Eugène Cahen Théorie arithmétique des formes, Paul Bachmann , Jacques Hadamard , Edmond Maillet Propositions transcend antes de la théorie of nombres, David Hilbert , Henri Vogt Théorie des corps de nombres algébriques, Heinrich Weber , Eugène Cahen Multiplication complexe (the last chapter is incomplete due to the war)
- Volume 4: Calcul des probabilités, 1906–1911, Emanuel Czuber , Jean Le Roux Calcul des probabilités, Julius Bauschinger , Dmitri Fjodorowitsch Seliwanow , Henri Andoyer Calcul des différences et interpolation, Julius Bauschinger, Henri Andoyer Theory of Erurs, Rudolf Mehmke , Maurice the Elder 'Ocagne Calculs numériques, Ladislaus von Bortkiewicz , François Oltramare: Statistique, Georg Bohlmann , H. Poterin du Motel: Technique de l´assurance sur la vie, Vilfredo Pareto Économie mathématique
- Volume 2, Analysis
- Volume 1: Fonctions de variables réelles, 1909–1912, Alfred Pringsheim , Jules Molk Principes fondamentaux de la théorie des fonctions, Part 2 with Émile Borel as editor: Recherches contemporaines de la théorie des fonctions, therein: Ludovic Zoretti Les ensembles de points, Paul Montel Intégration et dérivation, Maurice Fréchet Développements en séries, part 3: Aurel Voss , Jules Molk Calcul differentiel
- Part 2: Fonctions de variable complexes 1911–1912, Alfred Pringsheim , Georg Faber , Jules Molk Analyze algébrique, William Fogg Osgood , Pierre Boutroux , Jean Chazy Fonctions analytiques (incomplete due to the First World War)
- Volume 3: Equations différentielles ordinaires, 1910, Paul Painlevé Existence de l´intégrale générale, détermination d´une intégrale particuliére par ses valeurs initiales, Ernest Vessiot Méthodes d´intiresgration élémentaires: étude des éesquations au déquations
- Volume 4: Equations aux dérivées partielles 1913–1916, Eduard von Weber , Gaston Floquet : Propriétés générales des systémes d'équations aux dérivées partielles. Equations linéaires du premier ordre, Eduard von Weber, Édouard Goursat Equations non linéaires du premier ordre. Equations du ordre plus grand que un, Heinrich Burkhardt , Ludwig Maurer , Ernest Vessiot Groupes de transformations continus (unfinished)
- Volume 5: Développement en séries, 1912–1914, Salvatore Pincherle Equations et opérations fonctionelles, Heinrich Burkhardt , Ernest Esclangon Interpolation trigonométriques, Albert Wangerin , Armand Lambert : Fonctions sphériques, Paul Appell , Armand Lambert: Généronatisations diverses des fiques
- Volume 6: Calcul des variations. Complements. 1913-1916. Adolf Kneser , Ernst Zermelo , Hans Hahn , Maurice Lecat Calcul des variations
- Volume 3: Geometry
- Volume 1: Fondements de la géométrie, 1911–1915, 1955, Federigo Enriques Principes de la géométrie, Arthur Schoenflies Notes sur la géométrie non-archimédienne, Hans von Mangoldt , Ludovic Zoretti Les notions de la ligne et de surface, Gino Fano , Sauveur Carrus : Exposé parallèle du développement de la géométrie synthétique et de la géométrie analytique pendant le 19e siècle, Hieronymus Georg Zeuthen , Mario Pieri Géométrie énumérative, Gino Fano, Élie Cartan La théorie des groupes continus et la géométrie
- Volume 2: Géométrie descriptive et élémentaire 1913, Arthur Schoenflies , Arthur Tresse Géométrie projective, Ernst Steinitz , Émile Merlin : Configurations (unfinished)
- Volume 3: Géométrie algébrique plan, 1911–1915, Friedrich Dingeldey , Eugène Fabry Coniques, Systèmes de coniques, Luigi Berzolari Théorie générale des courbes planes algébriques (unfinished)
- Volume 4: Géométrie algébrique dans l'espace 1914, Otto Staude , Auguste Grévy Quadriques
- Volume 4, Mécanique
- Volume 1: Mécanique - Généralités, Historique 1915: Aurel Voss , Eugène Cosserat , François Nicolas Cosserat : Principes de la mécanique rationelle, Paul Ehrenfest , Tatjana Ehrenfest , Émile Borel : Mécanique statistique
- Volume 2: Mécanique générale 1916: Heinrich Timerding , Lucien Lévy : Fondaments géométriques de la statique, Giuseppe Jung , Emmanuel Carvallo Géométrie des masses, Arthur Schoenflies , Gabriel Koenigs : Cinématique
- Volume 5: Systèmes déformables 1914, Max Abraham , Paul Langevin Notions géométriques fondamentales, Augustus Edward Hough Love , Paul Appell , Henri Béghin Hydrodynamique (partie élémentaire), AEH Love, Paul Appell, Henri Beghin, Henri Villat Dévloppements concernant l´Hydrodynamique,
- Part Volume 6: Ballistique, Hydraulique, 1913: Carl Cranz , Emmanuel Vallier Ballistique extérieure, Carl Cranz, Camille Benoit : intérieure Ballistique, François Gossot , Roger Liouville : Développements concernant quelques recherches de ballistique Executees en France, Philipp Forchheimer , Auguste Boulanger Hydraulique (due of the First World War, the last article remained unfinished).
- Volume 5: Physique, published in four volumes in 1915/16, volume 2 (Physique), volume 4 (Principes physique de l'optique, Arnold Sommerfeld et al.) 1915, unfinished
- Volume 6: Volume 1 Géodésie was published in 1915 (co-editor Charles Lallemand (1857–1938)), planned volume 2 Géophysique 1916
- Volume 7: Astronomy, Part 1: Astronomie sphérique 1913–1916, co-editor Henri Andoyer
- Volume 8: Register
New edition from 1939 by Teubner
From 1939 the Academies of Sciences in Göttingen, Berlin, Vienna and Heidelberg and the BGTeubner publishing house planned a new edition. The editors were Helmut Hasse , Erich Hecke , Max Deuring and Emanuel Sperner . The following volumes have been published:
- Arnold Schmidt Basic mathematical research, 1950
- Hans Hermes , Heinrich Scholz Mathematical Logic 1952
- Hans Hermes, Gottfried Köthe Theory of Associations 1939
- Friedrich Bachmann Development of the number system in 1939
- Philipp Furtwängler , edited by Helmut Hasse, Wolfram Jehne : General theory of algebraic numbers 1953
- Max Deuring The class field of complex multiplication 1958
- Loo-Keng Hua Estimation of Exponential Sums and their Application in Number Theory 1959
- Ott-Heinrich Keller Geometry of Numbers 1954
- Günter Pickert normal form matrices, Lineare Algebra 1953
- Wilhelm Specht Algebraic equations with real or complex coefficients, 1958
- Wilhelm Magnus General Group Theory 1939
- Hermann Boerner's theory of representation of finite groups 1967
- Wilhelm Maak representation theory of infinite groups and almost periodic functions 1953
- Wolfgang Krull Basic concepts of the theory of operator groups and ideal theory, theory of polynomial ideals and elimination theory 1939
The volumes are available online as digital copies in the Göttingen State and University Library (SUB Göttingen) of the Georg-August-Universität Göttingen.
A presentation of the theory of algebras (then called hypercomplex numbers) by Richard Brauer , who emigrated to Canada during the Nazi era , which was available in manuscript in 1936 and was actually already accepted for publication, never appeared.
See also
literature
- Walther von Dyck: Encyclopedia of the Mathematical Sciences. Lecture on behalf of Felix Klein at the International Congress of Mathematicians in Rome 1908, DMV annual report.
- Hélène Gispert: Les Débuts de l'histoire des mathématiques sur les scènes internationales et le cas de l'entreprise encyclopédique de Felix Klein et Jules Molk. Historia Mathematica, Volume 26, 1999, pp. 344-360.
- Hélène Gispert, Jean-Luc Verley (editor): L'Encyclopédie des sciences mathématiques pures et appliquées, (1904–1916), traduire ou adapter l'entreprise de Felix Klein. Springer-France, 2000 (contributions from Gispert, Catherine Goldstein , Renate Tobies, among others ).
- Hélène Gispert: The German and French Editions of the Burkhardt – Molk Encyclopedia: Images of the Mathematical Sciences at the Dawn of the Twentieth Century. In: Amy Dahan, Umberto Bottazzini (Eds.): Changing Images of Mathematics in History. Reading, UK: Harwood Academic, 1999.
- David E. Rowe : Klein, Hilbert, and the Göttingen Mathematical Tradition, Osiris (2) 5 (1989), 186-213.
- Jules Tannery: L'Encyclopédie des sciences mathématiques. Bulletin des sciences mathématiques 35 (1911), 296-297.
- Paul Tannery: Encyclopédie des sciences pures et appliquées, notes historiques (1904–1906). Mémoires scientifiques, Paris-Toulouse, 1930.
Web links
Individual evidence
- ↑ Encyclopédie des sciences mathématiques pures et appliquées. A detailed comparison of the German and French editions by Hélène Gispert and Catherine Goldstein is in preparation (2004).
- ^ Ludwig Boltzmann : Journey of a German professor to the Eldorado. In: Popular Writings. Johann Ambrosius Barth, Leipzig 1905, pp. 403-435, there pp. 405-407.
- ↑ Karin Reich: The role of Arnold Sommerfeld in the discussion about vector calculation, presented using the sources in the estate of the mathematician Rudolf Mehmke. From: Joseph W. Dauben (Ed.) History of Mathematics: states of the art. San Diego 1996, pp. 319-341.
- ^ Nabl, 1876–1953, assistant to Boltzmann.
- ↑ Jean Dhombres : Vicissitudes in Internationalization: International Networks in Mathematics until the 1920s. In: Christophe Charle, Jürgen Schriewer, Peter Wagner (eds.): Transnational intellectual networks. Campus Verlag, 2004, 81–114.
- ^ Jean Dhombres: National conditions of mathematical culture in Germany and France in the years around 1900. In: Lothar Jordan, Bernd Kortländer: National borders and international exchange. Niemeyer, Tübingen 1995, pp. 312-333.
- ^ Raymond Le Vavasseur, received his doctorate from the Sorbonne in 1893 (Sur le système d'équations aux dérivées partielles simultanées auxquelles satisfait la série hypergéométrique à deux variables). Published in 1908 in the Annales de l´université de Lyon on number theory and in 1904 on group theory. During this time he was maitre de conférences at the University of Lyon.
- ↑ Actuarial mathematician at the life insurance company Compagnie L'Union in Paris; he died in 1913.
- ^ Gallica.
- ^ Gallica.
- ^ Gallica.
- ^ Gallica.
- ^ BNF, Gallica.
- ^ Armand Lambert (1880-1944), astronomer, head of the Service Méridien of the Paris Observatory. Murdered in Auschwitz.
- ^ Sauveur Carrus (* 1873), received his doctorate in Paris in 1906 (Familles de surfaces à trajectoires orthogonales planes) and was then in Lille from 1907 to 1909. Was an examiner at the Ecole Polytechnique and later Professor of Analysis in Algiers. 1931/32 published a two-volume analysis textbook ( Cours de Calcul Différentiel et Intégral. Méthode de formation au raisonnement mathématique, Eyrolles, Paris).
- ↑ Auguste-Clément Grévy (born July 1, 1865 in Paris - 1930), studied at the Ecole Normale Superieure and received his doctorate in 1894 under Gabriel Koenigs in Paris with a thesis on the iteration of complex functions (described in Daniel Alexander A history of complex dynamics, Aspects of Mathematics, 1994 - according to Alexander his four works from 1892 to 1897 are almost his entire contribution to mathematical research). Wrote textbooks on algebra (Paris, Vuibert 1905), trigonometry (1929), arithmetic (1917) and geometry ( Géométrie théorique et pratique, Complements de géométrie 1905). From 1897 until his death he was a teacher at the Lycée Saint-Louis .
- ↑ Lucien Lévy (1853–1912), professor of mathematics at the Lycée Louis-le-Grand , examiner at the Ecole Polytechnique, father of Paul Lévy .
- ^ Fascicule 1, Gallica.
- ^ Fascicule 2, Gallica.
- ^ Gallica.
- ^ Frédéric Marie Emmanuel Vallier (born December 23, 1849 in Versailles), artillery officer, corresponding member of the Academie des Sciences, author of several books on ballistics.
- ↑ Camille Benoît (born October 27, 1856 in Maule), officer of the artillery (from February 1917 first lieutenant). As general in 1931 published Histoire Militaire de L'Afrique Occidentale Française .
- ^ Hubert Cassien Fernand François Gossot (1853-1935), General.
- ^ Roger Liouville, examiner at the Ecole Polytechnique. Studied differential equations and mechanics and posthumously published the work of Pierre-Henri Hugoniot on shock waves.
- ↑ Volume 4-1 in Ed. Gabay.
- ^ Encyclopedia of Mathematical Sciences, including its applications . State and University Library Göttingen (SUB Göttingen). Retrieved March 27, 2019.