Sommaire du Fascicule no. 6

The April meeting in Chicago

Youngs, J. W. T.

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The October meeting in Washington

Schafer, R. D.

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Review: R. L. Jeffery, Trigonometric series

Fine, N. J.

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The November meeting in Columbia

Youngs, J. W. T.

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The November meeting in Coral Gables

Roberts, John H.

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The November meeting in Los Angeles

Klee, V. L.

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Review: N. Bourbaki, Théorie des ensembles (Chapter III)

Bagemihl, F.

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The June meeting at Corvallis

Pierce, R. S.

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Review: S. G. Mikhlin, Integral equations and their applications to certain problems in mechanics, mathematical physics and technology

Heins, Albert E.

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Review: F. G. Tricomi, Integral equations

Heins, Albert E.

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Council and board of trustees—1957

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Inequalities of critical point theory

Pitcher, Everett

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p. 1-30

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Review: R. L. Goodstein, Mathematical logic

Rogers, Hartley

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p. 32-35

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Review: E. Artin, Geometric algebra

Schafer, Alice T.

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p. 35-37

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Review: Hassler Whitney, Geometric integration Theory

Federer, Herbert

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p. 38-41

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Review: S. Flügge, Handbuch der Physik, Band 1, Mathematische Methoden 1

Franklin, Philip

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p. 41-42

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The boundary of a simply connected domain

Piranian, George

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p. 45-55

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Research problems

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p. 59-61

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Report of the treasurer

Meder, Albert E.

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p. 62-64

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Review: J. W. S. Cassels, An introduction to Diophantine approximation

LeVeque, W. J.

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p. 65-68

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Review: Ivan Niven, Irrational numbers

Rosenbaum, R. A.

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p. 68-69

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Review: Ulf Grenander and Murray Rosenblatt, Statistical analysis of stationary time series

Darling, Donald A.

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p. 70-71

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Review: Ludwig Bieberbach, Einführung in die Theorie der Differentialgleichungen im reellen Gebiet

Coddington, Earl A.

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p. 71-73

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Review: Robert M. Thrall and Leonard Tornheim, Vector spaces and matrices

Nering, Evar D.

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p. 73-76

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Evolution by mutation

Muller, H. J.

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p. 137-160

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On 2-spheres in 3-manifolds

Whitehead, J. H. C.

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p. 161-166

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On isomorphisms of group algebras

Rudin, Walter

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p. 167-169

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A class of lattice ordered algebras

Goffman, Casper

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p. 170-173

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A proof and extension of Dehn's lemma

Shapiro, Arnold ; Whitehead, J. H. C.

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p. 174-178

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Research problems

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p. 178-179

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The April meeting in Stanford

Klee, Victor

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p. 181-182

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The April meeting in New York

Schafer, R. D. ; Green, John W.

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p. 183-189

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Review: S. Eilenberg and N. Steenrod, Foundations of algebraic topology

Spanier, E. H.

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p. 190-192

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Review: Carl Ludwig Siegel, Vorlesungen über Himmelsmechanik

Diliberto, Stephen P.

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p. 192-196

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Review: A. N. Kolmogorov and S. V. Fomin, Elements of the theory of functions and functional analysis, Vol. 1, Metric and Normed Spaces

Brown, Arlen

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p. 198-202

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Review: Norman Steenrod, The topology of fibre bundles

Milnor, John

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p. 202-203

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Review: S. Lefschetz, Differential equations: Geometric theory

Haas, Felix

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p. 203-206

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Review: Th. Schneider, Einführung in die transzendenten Zahlen

LeVeque, W. J.

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p. 206-210

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Review: Cornelius Lanczos, Applied analysis

Todd, John

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p. 210-211

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Review: Curt Meyer, Die Berechnung der Klassenzahl Abelscher Körper über quadratischen Zahlkörpern

Iwasawa, Kenkichi

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p. 211-212

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A survey of the theory of spectral operators

Dunford, Nelson

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p. 217-274

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Outline of an algorithm for integer solutions to linear programs

Gomory, Ralph E.

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p. 275-278

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On the nonexistence of elements of Hopf invariant one

Adams, J. F.

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p. 279-282

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On rapidly mixing transformations and an application to continued fractions

Kac, M. ; Kesten, Harry

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p. 283-287

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Representation of abstract Riesz potentials of the elliptic type

Balakrishnan, A. V.

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p. 288-289

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Abstract Cauchy problems of the elliptic type

Balakrishnan, A. V.

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p. 290-291

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Review: B. L. van der Waerden, Mathematische Statistik

Chung, K. L.

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p. 293-295

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Review: H. G. Eggleston, Convexity

Busemann, Herbert

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p. 295-296

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Review: L. Fox, The numerical solution of two-point boundary problems in ordinary differential equations

Wasow, Wolfgang

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p. 296-298

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Review: H. G. Eggleston, Problems in Euclidean Space: Application of convexity

Busemann, Herbert

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p. 298-299

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Review: Oskar Perron, Die Lehre von den Kettenbruchen. Vol. II. Analytisch-funktionen-theoretische Kettenbruche

Scott, W. T.

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p. 299-300

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Review: P. S. Aleksandrov, Combinatorial topology. Vol. 2. The Betti groups

Fan, Ky

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p. 300-301

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Totally ordered commutative semigroups

Clifford, A. H.

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p. 305-316

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Some problems on 3-dimensional manifolds

Papakyriakopoulos, C. D.

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p. 317-335

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Minimal sets: An introduction to topological dynamics

Gottschalk, W. H.

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p. 336-351

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Spline functions, convex curves and mechanical quadrature

Schoenberg, I. J.

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p. 352-357

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Integral representations for Markov transition probabilities

Kendall, David G.

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p. 358-362

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The radius of univalence of the error function

Kreyszig, Erwin ; Todd, John

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p. 363-364

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Functions whose partial derivatives are measures

Fleming, Wendell H.

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p. 364-366

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Locally trivial homology theories, and the Poincaré duality theorem

Griffiths, H. B.

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p. 367-370

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Solution of the Dirichlet problem for equations not necessarily strongly elliptic

Schechter, Martin

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p. 371-372

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Recursive equivalence types and combinatorial functions

Myhill, J.

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p. 373-376

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The Summer meeting in Cambridge

Green, J. W. ; Schafer, R. D.

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p. 377-381

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Review: George Springer, Introduction to Riemann surfaces

Jenkins, James A.

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p. 382-385

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Review: S. Hartman and J. Mikusinski, Teoria miary i calki Lebesgue'a

Leja, Stanislaw

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p. 385-386

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Review: Fumitomo Maeda, Kontinuierliche Geometrien

Halperin, Israel

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p. 386-390

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Review: Andrew H. Wallace, An introduction to algebraic topology

Fox, R. H.

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p. 391-392

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Brief Mention

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p. 393-394

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Representatives and committees of the Society

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p. 395-397

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Endowment fund and Special funds

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p. 398-400

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By-laws of the American Mathematical Society

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p. 401-408

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Index to volume 64

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p. 409-413

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