Dynamical Systems VIII

Singularity Theory II. Applications

V.I. Arnol'd, J.S. Joel, V.I. Arnol'd , V.V. Goryunov

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Russian

Springer Verlag
01 June 1993

Mathematics & Sciences; Differential calculus & equations

Series: Encyclopaedia of Mathematical Sciences

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.

Contributions by: V.I. Arnol'd, V.V. Goryunov, O.V. Lyashko
Edited by: V.I. Arnol'd
Translated by: J.S. Joel
Imprint: Springer Verlag
Country of Publication: Germany
Volume: v.39
Dimensions: Height: 235mm, Width: 155mm, Spine: 15mm
Weight: 1.160kg
ISBN: 9783540533764
ISBN 10: 3540533761
Series: Encyclopaedia of Mathematical Sciences
Pages: 248
Publication Date: 01 June 1993
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active

Reviews for Dynamical Systems VIII: Singularity Theory II. Applications

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