Mathematician:Oskar Bolza

Mathematician

German mathematician best known for his research in the calculus of variations, particularly influenced by Karl Weierstrass's $1879$ lectures on the subject.

Nationality

German

History

• Born: 12 May 1857 in Bad Bergzabern, Palatinate (now Germany)
• Died: 5 July 1942 in Freiburg im Breisgau, Germany

Publications

• 1886: Über die Reduction hyperelliptischer Integrale erster Ordnung und erster Gattung auf elliptische, insbesondere über die Reduction durch eine Transformation vierten Grades
• 1900: The elliptic $s$-functions considered as a special case of the hyperelliptic $s$-functions

• 1901: New proof of a theorem of Osgood's in the calculus of variations
• 1902: Proof of the sufficiency of Jacobi's condition for a permanent sign of the second variation in the so-called isoperimetric problems
• 1904: Lectures on the Calculus of Variations
• 1906: Weierstrass' theorem and Kneser's theorem on transversals for the most general case of an extremum of a simple definite integral
• 1907: Existence proof for a field of extremals tangent to a given curve

Sources

• John J. O'Connor and Edmund F. Robertson: "Oskar Bolza": MacTutor History of Mathematics archive

• 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.33$: Weierstrass ($\text {1815}$ – $\text {1897}$)