Singularity theory and some problems of functional analysis
著者
書誌事項
Singularity theory and some problems of functional analysis
（American Mathematical Society translations, ser. 2,
American Mathematical Society, c1992
大学図書館所蔵 件 / 全54件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Translated from Russian
Includes bibliographical references
内容説明・目次
内容説明
The emergence of singularity theory marks the return of mathematics to the study of the simplest analytical objects: functions, graphs, curves, surfaces. The modern singularity theory for smooth mappings, which is currently undergoing intensive development, can be thought of as a crossroad where the most abstract topics (such as algebraic and differential geometry topology, complex analysis, invariant theory, and Lie group theory) meet the most applied topics (such as dynamical systems, mathematical physics, geometrical optics, mathematical economics, and control theory). The papers in this volume include reviews of established areas as well as presentations of recent results in singularity theory.The authors have paid special attention to examples and discussion of results rather than burying the ideas in formalism, notation, and technical details. The aim is to introduce all mathematicians - as well as physicists, engineers, and other consumers of singularity theory - to the world of ideas and methods in this burgeoning area.
目次
Period maps connected with a versal deformation of a critical point of a function, and the discriminant by A. N. Varchenko Characteristic classes of singularities by V. A. Vassiliev Lacunas of hyperbolic partial differential operators and singularity theory by V. A. Vassiliev Reflection groups in singularity theory by A. B. Givental Qualitative analysis of singularly perturbed systems of chemical kinetics by V. M. Goldshtein and V. A. Sobolev Bifurcations with symmetries by V. V. Goryunov Stratifications of function space and algebraic $K$-theory by S. M. Gusein-Zade Singularities in optimization problems by A. A. Davydov Nice dimensions and their generalizations in singularity theory by V. M. Zakalyukin On an inverse problem of measure theory by V. M. Klimkin Classes of coefficients of convergent random series in spaces $L_p,q$ by S. Ya. Novikov Corner singularities and multidimensional folds in nonlinear analysis by Yu. I. Sapronov Newton polyhedra (algebra and geometry) by A. G. Khovanskii.
「Nielsen BookData」 より
