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weitere empfehlenswerte Bücher von Arnol'd V. I.
From the reviews of the first edition:"... In general the articles ... are well written in a style that enables one to grasp the ideas. The actual style is a readable mix of the important results, … mehr »
geschrieben von V. I. Arnol'd (Herausgeber) und S. P. Novikov (Herausgeber)
Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly … mehr »
geschrieben von V. I. Arnol'd (Herausgeber)
This volume contains five surveys on dynamical systems. Thefirst one deals with nonholonomic mechanics and gives anupdated and systematic treatment ofthe geometry ofdistributions and of variational … mehr »
geschrieben von V. I. Arnol'd (Herausgeber) und S. P. Novikov (Herausgeber)
These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic …
This is the second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, and their substantial applications with each other. The book addresses …
Preface * Contents of AMS Volume 108 * 1 The Hahn-Banach Theorem Optimization Problems * 2 Variational Principles and Weak Convergence * 3 Principles of Linear Functional Analysis * 4 The Implicit …
What is calculus really for? This book is a highly readable introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e., of …
Introduction; A brief review of calculus; Ordinary differential equations; Computer solution methods; Elementary oscillations; Planetary motion; Waves and diffusion; The best of all possible worlds?; …
The analysis of orthogonal polynomials associated with general weights was a major theme in classical analysis in the twentieth century, and undoubtedly will continue to grow in importance in the …
.Introduction and Results.- Weighted Potential Theory: The Basics.- Basic Estimates for Q, at.- Restricted Range Inequalities.- Estimates for Measure and Potential.- Smoothness of /rho t.- Weighted …
This book presents the recent development of stochastic approximation algorithms with expanding truncations based on the TS (trajectory-subsequence) method, a newly developed method for convergence …
Preface. Acknowledgments. 1. Robbins-Monro Algorithm. 2. Stochastic Approximation Algorithms with Expanding Truncations. 3. Asymptotic Properties of Stochastic Approximation Algorithms. 4. …
Stochastic programming is the study of procedures for decision making under the presence of uncertainties and risks. Stochastic programming approaches have been successfully used in a number of areas …
Preface. Output analysis for approximated stochastic programs; J. Dupacova. Combinatorial Randomized Rounding: Boosting Randomized Rounding with Combinatorial Arguments; P. Efraimidis, P.G. Spirakis. …
This monograph provides a complete description of resilient control theory. It unifies the methods for developing resilient controllers and filters for a class of uncertain dynamical systems and …
Introduction.- Resilient Control-Continuous Case.- Resilient Control-Discrete Case.- Resilient Adaptive Control.- Resilient Linear Filtering.- Resilient Delay-Dependent Control.- Resilient …
This practical treatment explains the applications complex calculus without requiring the rigor of a real analysis background. The author explores algebraic and geometric aspects of complex numbers, …
Complex Numbers. Complex Functions. Derivatives. Integrals. Evaluation of Finite Real Integrals. Evaluation of Infinite Real Integrals. Summation of Series. Fundamental Theorem of Algebra Solutions to …
1.Complete lattices and fixed-point theorems.2. The mu-calculi: Syntax and semantics.3.The Boolean mu-calculus.4.Parity Games.5.The mu-calculus on words.6.The mucalculus over powerset algebras.7.The …
This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as is multivalued elliptic problems, …
Preface.- 1. Introduction.- 2. Mathematical Preliminaries.- 3. Variational Equations.- 4. Multivalued Variational Equations.- 5. Variational Inequalities.- 6. Hemivariational Inequalities.- 7. …
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