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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Contents of Volume 32, Number 4
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Manifolds of functions defined by systems of algebraic differential equations
J. F. Ritt
Trans. Amer. Math. Soc. 32 (1930), 569-598
DOI: https://doi.org/10.1090/S0002-9947-1930-1501554-4
The foundations of a theory of the calculus of variations in the large in $m$-space. II
Marston Morse
Trans. Amer. Math. Soc. 32 (1930), 599-631
DOI: https://doi.org/10.1090/S0002-9947-1930-1501555-6
A converse of the Jordan-Brouwer separation theorem in three dimensions
R. L. Wilder
Trans. Amer. Math. Soc. 32 (1930), 632-657
DOI: https://doi.org/10.1090/S0002-9947-1930-1501556-8
On the zeros of certain rational functions
Morris Marden
Trans. Amer. Math. Soc. 32 (1930), 658-668
DOI: https://doi.org/10.1090/S0002-9947-1930-1501557-X
The behavior of bounds and oscillations of sequences of functions under regular transformations
Ralph Palmer Agnew
Trans. Amer. Math. Soc. 32 (1930), 669-708
DOI: https://doi.org/10.1090/S0002-9947-1930-1501558-1
Some differential and algebraic consequences of the Einstein field equations
K. W. Lamson
Trans. Amer. Math. Soc. 32 (1930), 709-722
DOI: https://doi.org/10.1090/S0002-9947-1930-1501559-3
Generalized differentiation
Emil L. Post
Trans. Amer. Math. Soc. 32 (1930), 723-781
DOI: https://doi.org/10.1090/S0002-9947-1930-1501560-X
Integral surfaces of pairs of partial differential equations of the third order
Ernest P. Lane
Trans. Amer. Math. Soc. 32 (1930), 782-793
DOI: https://doi.org/10.1090/S0002-9947-1930-1501561-1
On the overconvergence of sequences of polynomials of best approximation
J. L. Walsh
Trans. Amer. Math. Soc. 32 (1930), 794-816
DOI: https://doi.org/10.1090/S0002-9947-1930-1501562-3
On Birkhoff’s Pfaffian systems
Lucien Feraud
Trans. Amer. Math. Soc. 32 (1930), 817-831
DOI: https://doi.org/10.1090/S0002-9947-1930-1501563-5
On certain identities in theta functions
Claiborne G. Latimer
Trans. Amer. Math. Soc. 32 (1930), 832-846
DOI: https://doi.org/10.1090/S0002-9947-1930-1501564-7
The consistency and ultimate distribution of optimum statistics
Harold Hotelling
Trans. Amer. Math. Soc. 32 (1930), 847-859
DOI: https://doi.org/10.1090/S0002-9947-1930-1501565-9
The notion of the Green’s function in the theory of integro-differential equations. II
J. D. Tamarkin
Trans. Amer. Math. Soc. 32 (1930), 860-868
DOI: https://doi.org/10.1090/S0002-9947-1930-1501566-0
Analytic functions in the irregular field of all numerical functions
E. T. Bell
Trans. Amer. Math. Soc. 32 (1930), 869-878
DOI: https://doi.org/10.1090/S0002-9947-1930-1501567-2
The theorem of Dedekind in the ideal theory of Zolotarev
H. T. Engstrom
Trans. Amer. Math. Soc. 32 (1930), 879-887
DOI: https://doi.org/10.1090/S0002-9947-1930-1501568-4
Polynomials of best approximation on an infinite interval
James M. Earl
Trans. Amer. Math. Soc. 32 (1930), 888-904
DOI: https://doi.org/10.1090/S0002-9947-1930-1501569-6
Elementary properties of the $t_ \nu$-functions
W. E. Maier
Trans. Amer. Math. Soc. 32 (1930), 905-911
DOI: https://doi.org/10.1090/S0002-9947-1930-1501570-2
On division algebras
O. C. Hazlett
Trans. Amer. Math. Soc. 32 (1930), 912-925
DOI: https://doi.org/10.1090/S0002-9947-1930-1501571-4
On the structure of connected and connected IM Kleinen point sets
G. T. Whyburn
Trans. Amer. Math. Soc. 32 (1930), 926-943
DOI: https://doi.org/10.1090/S0002-9947-1930-1501572-6
Errata: “Algebraic combinations of exponentials” [Trans. Amer. Math. Soc. 31 (1929), no. 4, 654–679; 1501505]
J. F. Ritt
Trans. Amer. Math. Soc. 32 (1930), 944
DOI: https://doi.org/10.1090/S0002-9947-1930-1500508-1
Errata: “Algebras which do not possess a finite basis” [Trans. Amer. Math. Soc. 26 (1924), no. 4, 395–426; 1501287]
J. H. M. Wedderburn
Trans. Amer. Math. Soc. 32 (1930), 944
DOI: https://doi.org/10.1090/S0002-9947-1930-1500507-X