3270 



1C7 



3280 



3270 MULTIPLE INTEGRALS. 



Alaaia, C. Valori di alciini integrali. 

 Alat. pure appl., Citta di Castello, 2, 

 1902, (62-64). 



Biermaiin, Otto. Cber naherungs- 

 Tveise Cubuluren. MonHfte Math. 



Phys., Wien, 14. 1903, (211-225). 



Bromwicli, Thomas John I' Anson. 

 Note on double limits and on the inver- 

 sion of a repeated infinite integral. 

 London, Proc. Math. Soc, (Ser. 2.), 1, 

 1904, (176-201). 



Haxdy, Godfrey Harold. Notes on 

 ■some points in the integral calculus. XI, 

 XIL Mess. Math., Cambridge, 32, 1903, 

 <159-165, 187-192). 



Lorenz, Carl. Die eigentlichen 

 •dreifachen Integrale. MonHfte Math. 

 Phys., Wien, 13, 1902, (4-118). 



Tichomandritsklj, M. A. La formule 

 de Stokes. (Russe.) St. Peterburg, 

 Dne\aiik XI sjezda russ. jest, vrac., 

 1902, ^78-179). 



Weingaxten, J. Ueber eine Aufgabe 

 ■der Mechanik. [Tautochrone Curven.] 

 Arch. Math., Leipzig, (3. Reihe),5, 1903, 

 <l-4). 



3280 



CALCULUS OF 



VARIATIONS. 



Bliss, Gilbert Ames. The second 

 variation of a definite integral when one 

 •end-point is variable. New York, N.Y., 

 Trans. Amer. Math. Soc, 3, 1902, (132- 



141). 



Jacobi's criterion when 



both end-points are variable. Math. 

 Ann., Leipzig, 58, 1903, (70-80). 



Bolza, Oskar. Zur zweiten Variation 

 bei isoperimetrisclien Problemen. Math. 

 Ann., Leipzig, 57, 1903, (44-47 j. 



Ueber das isoperimetrische 



Problem au£ einer gegebenen Flache. 

 Math. Ami., Leipzig, 57, 1903, (48-52). 



Some instinictive examples 



in the calcxilus of variations. New 

 York, N.Y., Bull. Amer. Math. Soc, 

 (Ser. 2), 9, 1902, (1-10). 



^ Proof of the sufficiency of 



Jaeobi's condition for a pemianent sign 

 of the second variation in the so-called 



isoperimetric problems. New York, 

 N.Y., Trans. Amer. Math. Soc, 3, 1902, 

 (305-311). 



Bolza, Oskar. . . . Concerning the geo- 

 desic curvature and the isoperimetric 

 problem on a given surface and proof of 

 the sufficiency of Jacobi's condition for 

 a permanent sign of the second variation 

 in the so-called isoperimetric problems. 

 [Printed from V. 9 of the Decennial publi- 

 cations of the University of Chicago.] 

 Chicago (University of Chicago press), 



1902, (8 + 7). 28 cm. 



Gemet, Nadeschda. Untersuchung 

 zur Variationsrechnung. Ueber eine 

 neue Methode in der Variationsrechnung. 

 Diss. Gottingen (Druck v. W. F. Kaest- 

 ner), 1902, (77). 23 cm. 



Giddberg, Alf. Ueber die Maxima 

 und Minima der Integrale, die eine con- 

 tinuirliche Gruppegestatten. Kristiania, 

 Skr. Vid. selsk., 1, 7, 1902, 1902, (10). 



Hadamard, J. Sur une question de 

 caleul des variations. Paris, Bui. soc. 

 math., 30. 1902, (253-256). 



Sur les operations fonc- 



tionuelles. Paris, C.-R. Acad, sci., 136, 



1903, (351-353). 



Halm, Hans. Bemerkungen zur 

 VahatiousrechiiUng. Math. Ann., Leip- 

 zig, 58, 1903, (148-168). 



Zur Theorie der zweiten 



Variation einfacher Integrale. MonHfte 

 Math. Phys., Wien, 14, 1903, (3-57). 



Cber die Lagrange 'sche 



Multiplikatorenmethode in der Varia- 

 tionsrechnung. MonHfte Math. Phys., 

 Wien, 14, 1903, (325-342). 



Hedrick, E. R. On the sufficient con- 

 ditions in the calculus of variations. 

 New York, N.Y., BuU. Amer. Math. Soc, 

 (Ser. 2), 9, 1902, (11-24). 



Mayer, A[dolfJ. Ueber den Hilbert' 

 schen Unabhangigkeitssatz in der 

 Theorie des Maximums und Minimums 

 der eiufachen Integrale. Leipzig, Ber. 

 Ges. Wiss., math.-phys. Kl., 55, 1903, 

 (131-145). Matb. Ann., Leipzig, 58, 1903, 

 (235-248). 



Rethy, Moritz. Ueber das Prinzip der 

 Aktion mid liber die Klasse mechani- 

 scher Prinzipien, der es angehort. Math. 

 Ann., Leipzig, 58, 1903, (169-194). 



