This collection of reprinted 'Featured Reviews' published in Mathematical Reviews (MR) in 1995 and 1996 makes widely available informed reviews of some of the best mathematics published recently. 'Featured Reviews' were introduced in MR at the beginning of 1995 in part to provide some guidance to the current research-level literature. With the exponential growth of publications in mathematical research in the first half-century of MR, it had become essentially impossible for users of MR to identify the most important new research-level books and papers, especially in fields outside of the users' own expertise. This work identifies some of the qbestq new publications, papers, and books that are expected to have a significant impact on the area of pure or applied mathematics with which researchers are concerned. All of the papers reviewed here contain interesting new ideas or applications, a deep synthesis of existing ideas, or any combination of these. The volume is intended to lead the user to important new research across all fields covered by MR.Soc., Providence, RI, 1995. In this paper the authors deal with a problem closely related with the second part of what is known as Hilbert a#39;s sixteenth problem, posed by Hilbert in 1900. ... The most common object from which limit cycles can appear by deformation is an elementary polycycle, i.e., a set F C R2 ... The fixed point equation F(x) = x is written in the form (*) yj = A/(.v/, e), .v, = f, (xj, e), i = \, ..., m.

Title | : | Featured Reviews in "Mathematical Reviews" 1995-1996 |

Author | : | Donald G. Babbitt, Jane E. Kister |

Publisher | : | American Mathematical Soc. - |

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