Overview
This volume of the EMS is devoted to applications ofsingularity theory in mathematics and physics. The authorsArnol'd, Vasil'ev, Goryunov and Lyashkostudy bifurcationsets arising in various contexts such as the stability ofsingular points of dynamical systems, boundaries of thedomains of ellipticity and hyperbolicity of partialdifferentail equations, boundaries of spaces of oscillatinglinear equations with variable coefficients and boundariesof fundamental systems of solutions.The book also treats applications of the following topics:functions on manifolds with boundary, projections ofcomplete intersections, caustics, wave fronts, evolvents,maximum functions, shock waves, Petrovskij lacunas andgeneralizations of Newton's topological proof that Abelianintegralsare transcendental.The book contains descriptions of numberous very recentresearch results that have not yet appeared in monographform. There are also sections listing open problems,conjectures and directions offuture research. It will be ofgreat interest for mathematicians and physicists, who usesingularity theory as a reference and research aid.
Full Product Details
Author: V.I. Arnol'd ,
J.S. Joel ,
V.I. Arnol'd ,
V.V. Goryunov
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 1993 ed.
Volume: 39
Dimensions:
Width: 15.50cm
, Height: 1.50cm
, Length: 23.50cm
Weight: 1.160kg
ISBN: 9783540533764
ISBN 10: 3540533761
Pages: 238
Publication Date: 15 April 1993
Audience:
College/higher education
,
Professional and scholarly
,
Postgraduate, Research & Scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: In Print
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.
Reviews
V.I. Arnol'd, V.V. Goryunov, O.V. Lyashko, V.A. Vasil'ev, and V.I. Arnol'd (eds.) Dynamical Systems VIII The book contains a huge amount of information from all the branches of Singularity Theory, presented in a very attractive way, with lots of inspiring pictures. -ZENTRALBLATT MATH
V.I. Arnola (TM)d, V.V. Goryunov, O.V. Lyashko, V.A. Vasila (TM)ev, and V.I. Arnola (TM)d (eds.) <p>Dynamical Systems VIII <p> The book contains a huge amount of information from all the branches of Singularity Theory, presented in a very attractive way, with lots of inspiring pictures. <p>a ZENTRALBLATT MATH
V.I. Arnol'd, V.V. Goryunov, O.V. Lyashko, V.A. Vasil'ev, and V.I. Arnol'd (eds.) Dynamical Systems VIII The book contains a huge amount of information from all the branches of Singularity Theory, presented in a very attractive way, with lots of inspiring pictures. --ZENTRALBLATT MATH
