Contents
Book Reviews: Comptes Rendus Critiques
Stationary and related stochastic processes : sample function properties and their applications, by Harald Cramer and M.R. Leadbetter. John Wiley and Sons, New York, 1967. 348 pages. $12.50.
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- 01 April 2019, pp. 159-160
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Class field theory, by E. Artin and J. Tate (éd.). W.A. Benjamin Inc., New York, 1968. 286 pages. $3. 95 (paper). $9. 50 (cloth).
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- 01 April 2019, p. 509
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Theory of Rank Tests, by J. Hajek and Z. Sidak. Academic Press, 1967. 297 pages. $8.00.
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- 01 April 2019, p. 340
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Other
Abstracts of Theses
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- 01 April 2019, pp. 170-172
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Book Reviews: Comptes Rendus Critiques
Differential und Integralrechnung I, by Hans Grauert and Ingo Lieb. Heidelberger Taschenbücher Nr. 26, Springer-Verlag Berlin-Heidelberg-New York, 1967. x + 200 pages.
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- 01 April 2019, pp. 515-516
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Books Received
Books Received
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- 01 April 2019, pp. 361-364
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Book Reviews: Comptes Rendus Critiques
An introduction to nonassociative algebras, by Richard D. Schafer. Academic Press, New York and London, 1966. x + 166 pages. $7.95.
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- 01 April 2019, p. 165
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Other
Solutions
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- 01 April 2019, pp. 306-309
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Book Reviews: Comptes Rendus Critiques
Topological groups, by L. S. Pontryagin. Second edition. Translated by Arlen Brown. Gordon and Breach, New York 1966. xiv + 543 pages. Ref. ed. $32.50, Prof. ed. $17.50.
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- 01 April 2019, pp. 154-155
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Linear Algebra, 3rd edition (Die Grundlehren der mathematischen Wissenschaften, Vol. 97), by W.H. Greub. Springer-Verlag, New York, Inc. 1967. ix + 434 pages. $9.80 U.S. - Multilinear Algebra (Die Grundlehren der mathematischen Wissenschaften, Vol. 136), by W.H. Greub. Springer-Verlag, New York, Inc. 1967. x + 224 pages. $8.00 U.S.
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- 01 April 2019, pp. 512-513
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Announcement
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- 01 April 2019, p. 525
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Research Article
A Remark on the Gibbs Phenomenon and Lebesgue Constants for a Summability Method of Melikov
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- 20 November 2018, pp. 301-303
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Let u = ∑uk be a given series and let
Melikov [4] has defined the n-th σ- transform of u by
where ε and θ are assumed to be non-negative. This is easily shown to be equivalent to
The method is a generalization of a method used by Kaufman [l], and of another one used by Melikov [5]. It reduces to the (n-l)th (C;l) mean when θ = 0 and ε = 0, and to the n-th (C;l) mean when θ = 1 and ε = 0.
Melikov [4] has defined the n-th σ- transform of u by
Book Reviews: Comptes Rendus Critiques
An introduction to the theory of numbers, by Ivan Niven and Herbert S. Zuckerman. John Wiley and Sons, New York, 1966. 2nd edition. 280 pages. $7.95.
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- 01 April 2019, pp. 157-158
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Éléments de mathématique, fascicule 22; Théorie des ensembles, Chapitre 4: Structures, by Nicolas Bourbaki. Hermann, Paris, 1966. Deuxième édition, 108 pages, broché. 36 francs.
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- 01 April 2019, pp. 155-156
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An introduction to the foundations and fundamental concepts of mathematics, by H. Eves and C.V. Newsom. Holt, Rinehart and Winston, revised edition, 1965. xi + 398 pages. $9.95.
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- 01 April 2019, pp. 324-325
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Darstellungen von Gruppen. Mit Berücksichtigung der Berdürfniese der modernen Physik. Zweite, überarbeitete Auflage. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, by H. Boerner. Band 74, Springer-Verlag, Berlin, Heidelberg, New York, 1967. xiv + 317 pages. DM58, $14.50 U.S.
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- 01 April 2019, pp. 517-518
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Lectures on Boolean algebras, by P.R. Halmos. Van Nostrand. iv + 147 pages. $2.95.
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- 01 April 2019, pp. 350-351
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Calculus for College Students, M.H. Protter and C.B. Morrey. Addison-Wesley, 1967. 730 pages. $10.75.
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- 01 April 2019, p. 513
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Other
Problems for Solution
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- 01 April 2019, p. 505
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Book Reviews: Comptes Rendus Critiques
A theory of sets, by Anthony P. Morse. Academic Press, New York, 1965. xxxii + 130 pages. $7.95.
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- 01 April 2019, pp. 354-355
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