International Review of Cytology, Volume 195: A Survey of Cell Biology

GO International Review of Cytology, Volume 195: A Survey of Cell Biology


Author: Kwang W. Jeon
Type: eBook
Language: English
Released: 1999
Publisher: Academic Press
Page Count: 345
Format: pdf
ISBN-10: 0123645999
ISBN-13: 9780123645999
Tags:International Review of Cytology, Volume 195: A Survey of Cell Biology, tutorials, pdf, djvu, chm, epub, ebook, book, torrent, downloads, rapidshare, filesonic, hotfile, fileserve


Description:
In the last three decades, advances in methods for investigating polynomial ideals and their varieties have provided new possibilities for approaching two long-standing problems in the theory of differential equations: the PoincarГ© center problem and the cyclicity problem (the problem of bifurcation of limit cycles from singular trajectories). Using a computational algebra approach, this work addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The text first lays the groundwork for computational algebra and gives the main properties of ideals in polynomial rings and their affine varieties; this isВ followed by a discussionВ regarding the theory of normal forms and stability of differential equations. The center and cyclicity problems are then explored in detail. The book contains numerous examples, pseudocode displays of all the computational algorithms, historical notes, nearly two hundred exercises, and an extensive bibliography. Completely self-contained, it is thus suitableВ mainly as a textbook for a graduate course in the subject but also as a reference for researchers.