Edit Profile (opens in new tab) Bolza, Oskar Compute Distance To: Compute Author ID: bolza.oskar Published as: Bolza, O.; Bolza, Oskar; Bolza; Bolza, Oscar more...less External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 67 Publications since 1885, including 12 Books 1 Contribution as Editor Biographic References: 4 Publications Co-Authors: 5 Co-Authors with 2 Joint Publications 9 Co-Co-Authors all top 5 Co-Authors 65 single-authored 1 Gauß, Carl Friedrich 1 Maschke, Heinrich 1 Moore, Eliakim Hastings 1 Townsend, Edgar Jerome 1 Waldo, C. A. 1 White, Henry Seely all top 5 Serials 17 Mathematische Annalen 10 American Journal of Mathematics 8 Bulletin of the American Mathematical Society 6 Transactions of the American Mathematical Society 3 Rendiconti del Circolo Matematico di Palermo 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Nachrichten von der Königlichen Gesellschaft der Wissenschaften und der Georg-Augusts-Universität zu Göttingen 1 Annali di Matematica Pura ed Applicata. III. Serie 1 Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse all top 5 Fields 18 Calculus of variations and optimal control; optimization (49-XX) 6 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 3 Number theory (11-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 236 times in 227 Documents Cited by ▼ Year ▼ Lectures on the calculus of variations. JFM 35.0373.01Bolza, Oskar 43 1904 Vorlesungen über Variationsrechnung. JFM 61.0546.04Bolza, O. 37 1933 On binary sextics with linear transformations into themselves. JFM 19.0488.01Bolza 33 1887 Lectures on the calculus of variations. (Vorlesungen über Variationsrechnung.) JFM 40.0428.01Bolza, Oskar 21 1909 Lectures on the calculus of variations. Unabridged and corrected reprint of the 1904 original published by University of Chicago Press. Zbl 0098.07301Bolza, Oskar 14 1961 On binary sextics with linear transformations into themselves. JFM 19.0119.04Bolza 13 1887 Darstellung der rationallen ganzen Invarianten der Binärform sechster Ordnung durch die Nullwerte der zugehörigen \(\vartheta\)-Functionen. JFM 19.0122.02Bolza 10 1887 Über den “Anormalen Fall” beim Lagrangeschen und Mayerschen Problem mit gemischten Bedingungen und variablen Endpunkten. JFM 44.0447.02Bolza, O. 9 1913 On the reduction of hyperelliptic integrals of the first order and second kind to elliptic integrals by a transformation of the fourth degree. (Ueber die Reduction hyperelliptischer Integrale erster Ordnung und erster Gattung auf elliptische durch eine Transformation vierten Grades.) JFM 19.0477.01Bolza, O. 9 1886 Representation of the rational integral invariants of the binary forma of the sixth order by zero arguments of the corresponding \(\vartheta\) functions. (Darstellung der rationalen ganzen Invarianten der Binärformen sechster Ordnung durch die Nullwerte der zugehörigen \(\vartheta\)-Functionen.) JFM 19.0488.03Bolza 6 1887 Lectures on the calculus of variations. 2nd edition. Zbl 0098.07203Bolza, Oskar 6 1960 Mathematical papers read at the International Mathematical Congress held in connection with the world’s Columbian exposition, Chicago, 1893. Edited by the committee of the congress. JFM 27.0027.04 3 1896 A fifth necessary condition for a strong extremum of the integral \(\int_{x_0}^{x_1}F(x,y,y')\,dx\). JFM 37.0397.01Bolza, O. 3 1906 A theorem on single-valued mapping and its application in the calculus of variations. (Ein Satz über eindeutige Abbildung und seine Anwendung in der Variationsrechnung.) JFM 37.0401.01Bolza, O. 3 1907 The partial differential equations for the hyperelliptic \(\theta\)- und \(\sigma\)-functions. JFM 30.0407.01Bolza, O. 2 1899 On the first and second logarithmic derivatives of hyperelliptic \(\sigma\)-functions. JFM 26.0509.01Bolza, O. 2 1895 Heinrich Maschke: His life and work. JFM 39.0039.06Bolza, O. 2 1908 The determination of the conjugate points for discontinuous solutions in the calculus of variations. JFM 39.0441.02Bolza, O. 2 1908 Some instructive examples in the calculus of variations. JFM 33.0383.01Bolza, O. 2 1902 On the theory of substitution-groups and its applications to algebraic equations. JFM 22.0176.03Bolza, O. 2 1891 Vorlesungen über Variationsrechnung. Umgearb. u. stark verm. dtsch. Ausg. d. ”Lectures on the calculus of variations” desselb. Verf. Zbl 0007.21202Bolza, Oskar 2 1933 Gauß und die Variationsrechnung. (C. F. Gauß. Werke. Herausgegeben von der Gesellschaft der Wiss. zu Gött. Bd. 10, Abt. 2, 5. Abhandlung.). JFM 48.1271.03Bolza, O. 1 1922 Zur Erinnerung an Heinrich Maschke. JFM 39.0039.05Bolza, O. 1 1908 Lagrange’s multiplier rule in the calculus of variations for the case of mixed conditions and the accompanying limit equations for variable and end points. (Die Lagrangesche Multiplikatorenregel in der Variationsrechnung für den Fall von gemischten Bedingungen und die zugehörigen Grenzgleichungen bei variabeln Endpunkten.) JFM 38.0406.01Bolza, O. 1 1907 Weierstraß’ theorem and Kneser’s theorem on transversales for the most general case of an extremum of a simple definite integral. JFM 37.0399.01Bolza, O. 1 1906 The determination of the constants in the problem of the brachistochrone. JFM 35.0730.03Bolza, O. 1 1904 Proof of the sufficiency of Jacobi’s condition for a permanent sign of the second variation in the so-called isoperimetric problems. JFM 33.0382.01Bolza, O. 1 1902 On the construction of intransitive groups. JFM 21.0141.02Bolza, O. 1 1889 Darstellung der rationalen ganzen Invarianten der Binärform sechster Ordnung durch die Nullwerte der zugehörigen \(\vartheta\)-Functionen. JFM 19.0122.01Bolza 1 1887 On binary forms of the sixth order with linear transformations into themselves. (Ueber Binärformen sechster Ordnung mit linearen Substitutionen in sich.) JFM 19.0488.02Bolza 1 1887 Der singuläre Fall der Reduktion hyperelliptischer Integrale erster Ordnung auf elliptische durch eine Transformation dritten Grades. Zbl 0012.10801Bolza, Oskar 1 1935 Vorlesungen über Variationsrechnung. JFM 59.1147.01Bolza, O. 1 1933 Lectures on the calculus of variations. Reprint of the 1904 original published by the University of Chicago Press. Zbl 1422.49001Bolza, Oskar 1 2018 Lectures on the calculus of variations. Reprint of the 1904 original published by the University of Chicago Press. Zbl 1422.49001Bolza, Oskar 1 2018 Lectures on the calculus of variations. Unabridged and corrected reprint of the 1904 original published by University of Chicago Press. Zbl 0098.07301Bolza, Oskar 14 1961 Lectures on the calculus of variations. 2nd edition. Zbl 0098.07203Bolza, Oskar 6 1960 Der singuläre Fall der Reduktion hyperelliptischer Integrale erster Ordnung auf elliptische durch eine Transformation dritten Grades. Zbl 0012.10801Bolza, Oskar 1 1935 Vorlesungen über Variationsrechnung. JFM 61.0546.04Bolza, O. 37 1933 Vorlesungen über Variationsrechnung. Umgearb. u. stark verm. dtsch. Ausg. d. ”Lectures on the calculus of variations” desselb. Verf. Zbl 0007.21202Bolza, Oskar 2 1933 Vorlesungen über Variationsrechnung. JFM 59.1147.01Bolza, O. 1 1933 Gauß und die Variationsrechnung. (C. F. Gauß. Werke. Herausgegeben von der Gesellschaft der Wiss. zu Gött. Bd. 10, Abt. 2, 5. Abhandlung.). JFM 48.1271.03Bolza, O. 1 1922 Über den “Anormalen Fall” beim Lagrangeschen und Mayerschen Problem mit gemischten Bedingungen und variablen Endpunkten. JFM 44.0447.02Bolza, O. 9 1913 Lectures on the calculus of variations. (Vorlesungen über Variationsrechnung.) JFM 40.0428.01Bolza, Oskar 21 1909 Heinrich Maschke: His life and work. JFM 39.0039.06Bolza, O. 2 1908 The determination of the conjugate points for discontinuous solutions in the calculus of variations. JFM 39.0441.02Bolza, O. 2 1908 Zur Erinnerung an Heinrich Maschke. JFM 39.0039.05Bolza, O. 1 1908 A theorem on single-valued mapping and its application in the calculus of variations. (Ein Satz über eindeutige Abbildung und seine Anwendung in der Variationsrechnung.) JFM 37.0401.01Bolza, O. 3 1907 Lagrange’s multiplier rule in the calculus of variations for the case of mixed conditions and the accompanying limit equations for variable and end points. (Die Lagrangesche Multiplikatorenregel in der Variationsrechnung für den Fall von gemischten Bedingungen und die zugehörigen Grenzgleichungen bei variabeln Endpunkten.) JFM 38.0406.01Bolza, O. 1 1907 A fifth necessary condition for a strong extremum of the integral \(\int_{x_0}^{x_1}F(x,y,y')\,dx\). JFM 37.0397.01Bolza, O. 3 1906 Weierstraß’ theorem and Kneser’s theorem on transversales for the most general case of an extremum of a simple definite integral. JFM 37.0399.01Bolza, O. 1 1906 Lectures on the calculus of variations. JFM 35.0373.01Bolza, Oskar 43 1904 The determination of the constants in the problem of the brachistochrone. JFM 35.0730.03Bolza, O. 1 1904 Some instructive examples in the calculus of variations. JFM 33.0383.01Bolza, O. 2 1902 Proof of the sufficiency of Jacobi’s condition for a permanent sign of the second variation in the so-called isoperimetric problems. JFM 33.0382.01Bolza, O. 1 1902 The partial differential equations for the hyperelliptic \(\theta\)- und \(\sigma\)-functions. JFM 30.0407.01Bolza, O. 2 1899 Mathematical papers read at the International Mathematical Congress held in connection with the world’s Columbian exposition, Chicago, 1893. Edited by the committee of the congress. JFM 27.0027.04 3 1896 On the first and second logarithmic derivatives of hyperelliptic \(\sigma\)-functions. JFM 26.0509.01Bolza, O. 2 1895 On the theory of substitution-groups and its applications to algebraic equations. JFM 22.0176.03Bolza, O. 2 1891 On the construction of intransitive groups. JFM 21.0141.02Bolza, O. 1 1889 On binary sextics with linear transformations into themselves. JFM 19.0488.01Bolza 33 1887 On binary sextics with linear transformations into themselves. JFM 19.0119.04Bolza 13 1887 Darstellung der rationallen ganzen Invarianten der Binärform sechster Ordnung durch die Nullwerte der zugehörigen \(\vartheta\)-Functionen. JFM 19.0122.02Bolza 10 1887 Representation of the rational integral invariants of the binary forma of the sixth order by zero arguments of the corresponding \(\vartheta\) functions. (Darstellung der rationalen ganzen Invarianten der Binärformen sechster Ordnung durch die Nullwerte der zugehörigen \(\vartheta\)-Functionen.) JFM 19.0488.03Bolza 6 1887 Darstellung der rationalen ganzen Invarianten der Binärform sechster Ordnung durch die Nullwerte der zugehörigen \(\vartheta\)-Functionen. JFM 19.0122.01Bolza 1 1887 On binary forms of the sixth order with linear transformations into themselves. (Ueber Binärformen sechster Ordnung mit linearen Substitutionen in sich.) JFM 19.0488.02Bolza 1 1887 On the reduction of hyperelliptic integrals of the first order and second kind to elliptic integrals by a transformation of the fourth degree. (Ueber die Reduction hyperelliptischer Integrale erster Ordnung und erster Gattung auf elliptische durch eine Transformation vierten Grades.) JFM 19.0477.01Bolza, O. 9 1886 all cited Publications top 5 cited Publications all top 5 Cited by 295 Authors 8 Enolskiĭ, Viktor Zelikovich 6 Malmendier, Andreas 5 Massa, Enrico 5 Pagani, Enrico M. 4 Ball, John MacLeod 4 Bliss, Gilbert Ames 4 Hestenes, Magnus Rudolph 4 Morse, Marston 4 Shaska, Tanush 3 Ahlbrandt, Calvin D. 3 Belokolos, Eugene D. 3 Busemann, Herbert 3 Cardona, Gabriel 3 Carstensen, Carsten 3 Kalaba, Robert E. 3 Luria, Gianvittorio 3 Mednykh, Il’ya Aleksandrovich 3 Trélat, Emmanuel 2 Bao, Z. B. 2 Bartels, Sören 2 Berwald, Ludwig 2 Bolza, Oskar 2 Bonnard, Bernard 2 Bruno, Danilo 2 Clingher, Adrian 2 Dierkes, Ulrich 2 Fedorov, Yuri N. 2 Hölder, Ernst 2 Kagramanova, Valeria 2 Kudryashov, Nikolaĭ Alekseevich 2 Kunz, Jutta 2 Lämmerzahl, Claus 2 Lercier, Reynald 2 Mayer, Walther 2 Mizel, Victor J. 2 Namikawa, Yukihiko 2 Pejsachowicz, Jacobo 2 Ritzenthaler, Christophe 2 Rohde, Steve M. 2 Rund, Hanno 2 Sinelshchikov, Dmitry I. 2 Ueno, Kenji 2 Zeidan, Vera Michel 1 Akama, Yohji 1 Akhmedov, Anar 1 Akin-Ojo, R. 1 Akriche, Mouadh 1 Amdursky, Vardy 1 Andrews, Graham 1 Anton, Howard 1 Anzaldo-Meneses, Alfonso 1 Arcuri, Phillip A. 1 Argudo, David 1 Ayano, Takanori 1 Baaziz, Houria 1 Bahar, Leon Y. 1 Barbosa, Joan Lucas 1 Batista, Milan 1 Bellman, Richard Ernest 1 Bennewitz, Christer 1 Bernatska, Julia 1 Bertolini, Fernando 1 Bertram, Günter 1 Beshaj, Lubjana 1 Borisov, Lev A. 1 Boxall, John L. 1 Braden, Harry W. 1 Braeger, Noah 1 Brock, Friedemann 1 Brunnett, Guido H. 1 Brusch, Richard G. 1 Bujalance, Emilio 1 Bukhshtaber, Viktor Matveevich 1 Buser, Peter 1 Caillau, Jean-Baptiste 1 Campos, L. M. B. C. 1 Cao, Jin 1 Caponio, Erasmo 1 Carathéodory, Constantin 1 Carlson, Dean A. 1 Castillo, Enrique F. 1 Castorena, Abel 1 Cavoti, Carlos R. 1 Cerf, Max 1 Chipalkatti, Jaydeep V. 1 Chorlay, Renaud 1 Chrastinová, Veronika 1 Clarke, Bertrand S. 1 Cléry, Fabien 1 Cochell, Gary G. 1 Cocke, William J. 1 Conway, John Horton 1 Corona, Dario 1 Costa Gonzáles, Antonio Félix 1 Couveignes, Jean-Marc 1 Crouch, Peter E. 1 de Cesar, Mauro Oliveira 1 De Franchis, Michele 1 De Tommasi, Domenico 1 do Carmo, Manfredo Perdigão ...and 195 more Authors all top 5 Cited in 120 Serials 14 Transactions of the American Mathematical Society 13 Mathematische Annalen 12 Journal of Optimization Theory and Applications 8 Archive for Rational Mechanics and Analysis 7 Journal of Mathematical Analysis and Applications 5 Mathematische Zeitschrift 5 Journal of Elasticity 4 Archive for History of Exact Sciences 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Manuscripta Mathematica 4 Historia Mathematica 4 Rendiconti del Circolo Matematico di Palermo 3 Letters in Mathematical Physics 3 Acta Mathematica 3 Siberian Mathematical Journal 3 Calculus of Variations and Partial Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 International Journal of Geometric Methods in Modern Physics 2 Acta Mechanica 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of the Franklin Institute 2 Theoretical and Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Journal of Algebra 2 Journal of Differential Equations 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Applied Mathematics Letters 2 Differential Geometry and its Applications 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Bulletin of the American Mathematical Society 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Annals of Science 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 International Journal of Engineering Science 1 International Journal of Systems Science 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Physics 1 Physica A 1 Physics of Fluids 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Arkiv för Matematik 1 Bulletin of Mathematical Biology 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Boletim da Sociedade Brasileira de Matemática 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Journal of Computational and Applied Mathematics 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Metroeconomica 1 Michigan Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 OR Spektrum 1 Systems & Control Letters 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Physica D 1 Computers & Operations Research 1 Mathematical and Computer Modelling 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Aequationes Mathematicae 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Continuum Mechanics and Thermodynamics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Finance and Stochastics ...and 20 more Serials all top 5 Cited in 44 Fields 60 Calculus of variations and optimal control; optimization (49-XX) 51 Algebraic geometry (14-XX) 22 Mechanics of particles and systems (70-XX) 19 Number theory (11-XX) 18 Mechanics of deformable solids (74-XX) 17 Differential geometry (53-XX) 15 Functions of a complex variable (30-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Systems theory; control (93-XX) 11 Partial differential equations (35-XX) 10 History and biography (01-XX) 9 Fluid mechanics (76-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Numerical analysis (65-XX) 7 Group theory and generalizations (20-XX) 7 Ordinary differential equations (34-XX) 6 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Special functions (33-XX) 4 Quantum theory (81-XX) 3 Commutative algebra (13-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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