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Volume 18 - December 1973

Contents

Page 3 of 3

Book Reviews

  • C. G. C. Pitts, Introduction to Metric Spaces (Oliver & Boyd, 1972), £1.50.

  • R. A. Rankin
  • Published online by Cambridge University Press:
    20 January 2009, p. 165
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Front matter

  • PEM volume 18 issue 3 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Research Article

  • Some triple equations involving inverse finite Mellin transforms

  • John Tweed
  • Published online by Cambridge University Press:
    20 January 2009, pp. 317-319
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  • In this paper we investigate some triple equations involving the inverse of the finite Mellin transform MR which is defined by the equation

    This transformation is one of four which were first introduced by D. Naylor in his paper (1) and some of its properties have been listed by the author in paper (2), where its relationship to the Mellin transform is discussed in detail.

Book Reviews

  • J. Duncan, The Elements of Complex Analysis (Wiley, 1968), 313 pp., £4·25; paper, £2·25.

  • D. Martin
  • Published online by Cambridge University Press:
    20 January 2009, p. 85
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Research Article

  • Unconditional convergence and bases

  • I. Tweddle
  • Published online by Cambridge University Press:
    20 January 2009, pp. 321-324
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  • The recent papers (6), (7) of J. T. Marti have revived interest in the concept of extended bases, introduced in (1) by M. G. Arsove and R. E. Edwards. In the present note, two results are established which involve this idea. The first of these, which is given in a more general setting, restricts the behaviour of the coefficients for an extended basis in a certain type of locally convex space. The second result extends the well-known weak basis theorem (1, Theorem 11).

Book Reviews

  • G. H. Fullerton, Mathematical Analysis (Oliver and Boyd, 1972), 152 pp., £1·75.

  • Freda E. Alexander
  • Published online by Cambridge University Press:
    20 January 2009, pp. 85-86
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Back matter

  • PEM volume 18 issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. b1-b2
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Book Reviews

Research Article

  • Osculating primes to curves of intersection in 4-space, and to certain curves in n-space

  • R. H. Dye
  • Published online by Cambridge University Press:
    20 January 2009, pp. 325-338
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  • An irreducible curve in S4, projective 4-space, may arise as the complete intersection of three given irreducible threefolds. At a simple point P on such a curve there is an osculating solid, and we would like to have its equation. This solid, necessarily containing the tangent line to the curve at P, belongs to the net spanned by the tangent solids at P to the threefolds. We seek the appropriate linear combination of the known equations for these tangent solids.

Front matter

  • PEM volume 18 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Book Reviews

  • R. G. Meadows and R. Delbourgo, Advanced Pure Mathematics (Penguin, 1971), 128 pp., £2

  • G. Bonsall
  • Published online by Cambridge University Press:
    20 January 2009, p. 86
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  • R. Tyrell Rockafellar, Convex Analysis (Princeton University Press, 1970), xviii+451 pp.

  • J. D Pryce
  • Published online by Cambridge University Press:
    20 January 2009, p. 339
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Front matter

  • PEM volume 18 issue 1 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Book Reviews

  • Morris Kline, Mathematical Thought from Ancient to Modern Times (Oxford University Press, 1973), xvii+1238 pp., £12.

  • Robert Schlapp
  • Published online by Cambridge University Press:
    20 January 2009, pp. 340-341
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Front matter

  • PEM volume 18 issue 4 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Back matter

  • PEM volume 18 issue 4 Back matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. b1-b5
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Page 3 of 3