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Global Analysis - Studies and Applications V
This volume (a sequel to LNM 1108, 1214, 1334 and 1453) continues the presentation to English speaking readers of the Voronezh University press series on Global Analysis and Its Applications. The papers are selected fromtwo Russian issues entitled "Algebraic questions of Analysis and Topology" and "Nonlinear Operators in Global Analysis". CONTENTS: YuE. Gliklikh: Stochastic analysis, groups of diffeomorphisms and Lagrangian description of viscous incompressible fluid.- A.Ya. Helemskii: From topological homology: algebras with different properties of homological triviality.- V.V. Lychagin, L.V. Zil'bergleit: Duality in stable Spencer cohomologies.- O.R. Musin: On some problems of computationa...
Global Analysis in Mathematical Physics
The first edition of this book entitled Analysis on Riemannian Manifolds and Some Problems of Mathematical Physics was published by Voronezh Univer sity Press in 1989. For its English edition, the book has been substantially revised and expanded. In particular, new material has been added to Sections 19 and 20. I am grateful to Viktor L. Ginzburg for his hard work on the transla tion and for writing Appendix F, and to Tomasz Zastawniak for his numerous suggestions. My special thanks go to the referee for his valuable remarks on the theory of stochastic processes. Finally, I would like to acknowledge the support of the AMS fSU Aid Fund and the International Science Foundation (Grant NZBOOO), ...
Introduction to Differential and Algebraic Topology
Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topo logical research methods already in the first university courses. This textbook is one possible version of an introductory course in topo logy and elements of differential geometry, and it absolutely reflects both the authors' personal preferences and experience as lecturers and researchers. It deals with th...
The Oort Federation: To the Stars
As the Oort Federation becomes a major force in the Solar System, Braxton Thorpe passes the Federation chairmanship to former US President John Butler. Thorpe’s group offers humanity virtual immortality, but Isidor Orlov and his Udachny Enterprises oppose their every move. While terraforming Mars for more living space, the Mars Reds prove formidable as resisters. If the Asterian starship fighter pilots are released, will they align with Phoenix or Udachny, and who will develop the right FTL technology? In this tense space adventure, Thorpe, his team, and Max the tabby cat travel to Proxima Centauri and beyond to the Aster system, 84 lightyears distant. Will Thorpe bring together humans and Asterians in their quest for intergalactic travel? Will long life prove more than mere humans can handle?
Global Analysis in Mathematical Physics
This book is the first in monographic literature giving a common treatment to three areas of applications of Global Analysis in Mathematical Physics previously considered quite distant from each other, namely, differential geometry applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental for hydrodynamics. The unification of these topics is made possible by considering the Newton equation or its natural generalizations and analogues as a fundamental equation of motion. New general geometric and stochastic methods of investigation are developed, and new results on existence, uniqueness, and qualitative behavior of solutions are obtained.
The Lost War
The novelette The Lost War belongs to the genre of anti-utopia. the classic representatives of this controversial genre. As opposed to writers-utopists who attempt to create and depict an ideal human society of the future, the anti-utopists picture the future in extremely dark colors. However, even more important distinction between utopia and anti-utopia is reflected in the interpretation of the relationship between the present and the future. Unlike the utopists who portray the future where the humankind has overcome all shortcomings of the present, the anti-utopists portraying the future, in fact, are concerned with the present, and project the faults of the present into the future using ...
