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Dynamical Systems VIII: Singularity Theory II. Applications: 39 (Encyclopaedia of Mathematical Sciences, 39) - Hardcover

 
9783540533764: Dynamical Systems VIII: Singularity Theory II. Applications: 39 (Encyclopaedia of Mathematical Sciences, 39)
Hardcover
ISBN 10: 3540533761 ISBN 13: 9783540533764
Publisher: Springer, 1993

Synopsis

This book is devoted to applications of singularity theory in mathematics and physics, covering a broad spectrum of topics and problems. "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

"synopsis" may belong to another edition of this title.

Review

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

Synopsis

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.

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Publisher
Springer
Publication date
1993
Language
English
ISBN 10 
3540533761
ISBN 13 
9783540533764
Binding
Hardcover
Number of pages
238
Editor
Arnol'd V.I.