动力系统Ⅷ：奇异理论Ⅱ：应用 （俄罗斯）Arnol’d 科学出版社 PDF电子教材 PDF电子书 大学教材电子版 电子课本 网盘下载【高清非扫描版】
国外数学名著系列《动力系统Ⅷ：奇异理论Ⅱ：应用》（俄罗斯）Arnol’d 科学出版社 PDF电子教材 PDF电子书 大学教材电子版 电子课本 网盘下载【高清非扫描版】
This volume of the Encyclopaedia is devoted to applications of singularity theory in mathematics and physics. The authors Arnol’d,Vasil’ev, Goryunov and Lyashko study bifurcation sets arising in various contexts such as the stability of singular points of dynamical systems, boundaries of the domains of ellipticity and hyperbolicity of partial differential equations, boundaries of spaces of oscillating linear equations with variable coefficients and boundaries of fundamental systems of solutions. The book also treats applications of the following topics: functions on manifolds with boundary, projections of complete intersections,caustics, wave fronts, evolvents, maximum functions, shock waves,Petrovskij lacunas and generalizations of Newton’s topological proof that Abelian integrals are transcendental. The book contains a list of open problems, conjectures and directions for future research. It will be of great interest for mathematicians and physicists as a reference and research aid.