The Center and Cyclicity Problems: A Computational Algebra Approach (Paperback)
  • The Center and Cyclicity Problems: A Computational Algebra Approach (Paperback)
zoom

The Center and Cyclicity Problems: A Computational Algebra Approach (Paperback)

(author), (author)
£54.99
Paperback 330 Pages / Published: 16/04/2009
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket

Using a computational algebra approach, this comprehensive text addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The book gives the main properties of ideals in polynomial rings and their affine varieties followed by a discussion on the theory of normal forms and stability of differential equations. It contains numerous examples, pseudocode displays of all the computational algorithms, historical notes, nearly two hundred exercises, and an extensive bibliography, making it a suitable graduate textbook as well as research reference.

Publisher: Birkhauser Boston Inc
ISBN: 9780817647261
Number of pages: 330
Weight: 1080 g
Dimensions: 235 x 155 x 18 mm
Edition: 2009 ed.


MEDIA REVIEWS

From the reviews:

"This book treats in detail the problem of computing the center conditions and the cyclicity ... . The book is written very clearly and ... entirely self-contained. This makes it quite approachable for beginning researchers as well as a reference for those who know the area well. ... furnished with a large number of exercises and examples, together with pseudo-code for the computations. An appendix gives some of these routines in Mathematica. Altogether an ideal book for those wishing to start research in this area." (Colin J. Christopher, Mathematical Reviews, Issue 2010 h)

"The primary object in this interesting book is to study small-amplitude periodic solutions of planar polynomial autonomous systems which concerns the Poincare center (center-focus) problem and the cyclicity problem (the local 16th Hilbert problem). ... the book is designed for the use as a primary textbook in an advanced graduate course ... . The book is of interest not only for those working in the field of differential equations, but also for researches from the field of computational algebra and symbolic computation ... ." (Alexander Grin, Zentralblatt MATH, Vol. 1192, 2010)

You may also be interested in...

Calculus
Added to basket
£42.99
Hardback
How to Think About Analysis
Added to basket
The Calculus Lifesaver
Added to basket
Introductory Real Analysis
Added to basket
Schaums Outline of Tensor Calculus
Added to basket
Maths for Chemistry
Added to basket
£31.99
Paperback
Limits, Limits Everywhere
Added to basket
Schaum's Outline of Calculus
Added to basket
Visual Complex Analysis
Added to basket
Div, Grad, Curl, and All That
Added to basket
Calculus for the Ambitious
Added to basket
Calculus Late Transcendentals
Added to basket
The Golden Ticket
Added to basket
£21.00
Hardback
Differential Equations For Dummies
Added to basket
Maths for Science
Added to basket
£37.99
Paperback
An Introduction to Manifolds
Added to basket

Please sign in to write a review

Your review has been submitted successfully.